Lab fenòmens: afegir informe i ultims canvis al codi
Change-Id: I7f01665996295625fc390f9382dd0ba1c9882bbc
diff --git a/quad10/fenomens/lab/informe/.gitignore b/quad10/fenomens/lab/informe/.gitignore
new file mode 100644
index 0000000..f0de8a3
--- /dev/null
+++ b/quad10/fenomens/lab/informe/.gitignore
@@ -0,0 +1 @@
+main.pdf
diff --git a/quad10/fenomens/lab/informe/data/tc.dat b/quad10/fenomens/lab/informe/data/tc.dat
new file mode 100644
index 0000000..72b663d
--- /dev/null
+++ b/quad10/fenomens/lab/informe/data/tc.dat
@@ -0,0 +1,6 @@
+#L (T_c)_(c_V) c_V (T_c)_(chi) chi delta(c_V) delta(chi) |m|_cv |m|_chi delta(|m|_cv) delta(|m|_chi)
+8 2.360 1.1954120665877310 2.540 1.7615937806579591 0.01 0.01 45.490729824561406 36.695726315789472 0.2 0.3
+16 2.315 1.5644446046430309 2.395 6.0953452682400933 0.01 0.03 165.19091929824560 134.10781052631580 0.7 1.8
+32 2.290 1.9014001842618509 2.335 20.715962610090603 0.01 0.06 611.11859649122812 477.82797192982457 15 16
+64 2.285 2.2518433500347395 2.300 70.492675589329906 0.02 2 2141.0255929824561 1791.3652982456140 130 130
+#96 2.27 2.5095499030998627 2.29 157.79581726936814 # Dades de poca qualitat, no s'utilitzen
diff --git a/quad10/fenomens/lab/informe/generateGraphs.bash b/quad10/fenomens/lab/informe/generateGraphs.bash
new file mode 100755
index 0000000..987af22
--- /dev/null
+++ b/quad10/fenomens/lab/informe/generateGraphs.bash
@@ -0,0 +1,2 @@
+#!/bin/bash
+(cd graphs; ../gnuplotScripts/tc.gnu)
diff --git a/quad10/fenomens/lab/informe/gnuplotScripts/tc.gnu b/quad10/fenomens/lab/informe/gnuplotScripts/tc.gnu
new file mode 100755
index 0000000..e105fed
--- /dev/null
+++ b/quad10/fenomens/lab/informe/gnuplotScripts/tc.gnu
@@ -0,0 +1,166 @@
+#!/usr/bin/env -S gnuplot -c
+datafilename = '../data/tc.dat'
+
+set style line 101 lc rgb '#808080' lt 1 lw 1
+set border 3 front ls 101
+set tics nomirror out scale 0.75
+set linetype 99963 dashtype (6, 0, 0, 10)
+set style line 102 lc rgb '#d6d7d9' lt 99963 lw 1
+set grid back ls 102
+
+TC = 2.268
+
+# Temperatura crítica:
+
+t1(x) = a1*x + b1
+t2(x) = a2*x + b2
+
+fit t1(x) datafilename using (1/$1):2 via a1, b1
+fit t2(x) datafilename using (1/$1):4 via a2, b2
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 6cm
+ set output 'tc.tex'
+ set xlabel '$1/L$'
+ set ylabel '$T_c$'
+ tccv = '$(T_c)_{c_V}$'
+ tcsusc = '$(T_c)_\chi$'
+ set key spacing 2
+ } else {
+ set terminal svg dashed size 600, 400 font "Computer Modern,Tinos,Helvetica,15"
+ set output 'tc.svg'
+ set xlabel "1/L"
+ set ylabel "T_c"
+ tccv = '(T_c)_(c_V)'
+ tcsusc = '(T_c)_\chi'
+ set key spacing 1.25
+ }
+
+ set xrange [0:*]
+ set key top left
+ #set key outside top horizontal
+ plot datafilename using (1/$1):2:(0.005) with yerr title tccv, \
+ datafilename using (1/$1):4:(0.005) with yerr title tcsusc, \
+ t1(x) notitle, t2(x) notitle
+}
+
+set autoscale x
+
+# Exponent nu
+
+f1(x) = a1*x + b1
+f2(x) = a2*x + b2
+
+fit f1(x) datafilename using (log($1)):(log($2 - TC)) via a1, b1
+fit f2(x) datafilename using (log($1)):(log($4 - TC)) via a2, b2
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 6cm
+ set output 'nu.tex'
+ set xlabel '$\log(L)$'
+ set ylabel '$\log((T_c)_L - T_c)$'
+ nucv = '$c_V$'
+ nususc = '$\chi$'
+ set key spacing 2
+ } else {
+ set terminal svg dashed size 600, 400 font "Computer Modern,Tinos,Helvetica,15"
+ set output 'nu.svg'
+ set xlabel "log(L)"
+ set ylabel "log((T_c)_L - T_c)"
+ nucv = 'c_V'
+ nususc = '\chi'
+ set key spacing 1.25
+ }
+
+ set key top right
+ plot datafilename using (log($1)):(log($2 - TC)):(0.011/($2 - TC)) with yerr title nucv, \
+ datafilename using (log($1)):(log($4 - TC)):(0.011/($4 - TC)) with yerr title nususc, \
+ f1(x) notitle, f2(x) notitle
+}
+
+# Exponent alfa
+
+fa(x) = a*x + b
+
+fit fa(x) datafilename using (log($1)):(log($3)) via a, b
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 6cm
+ set output 'alpha.tex'
+ set xlabel '$\log(L)$'
+ set ylabel '$\log(c_V^\text{c})$'
+ set key spacing 2
+ } else {
+ set terminal svg dashed size 600, 400 font "Computer Modern,Tinos,Helvetica,15"
+ set output 'alpha.svg'
+ set xlabel "log(L)"
+ set ylabel "log(c_V c)"
+ set key spacing 1.25
+ }
+
+ set key top left
+ plot datafilename using (log($1)):(log($3)):($6/$3) with yerr title 'Dades', \
+ fa(x) notitle
+}
+
+# Exponent gamma
+
+fg(x) = a*x + b
+
+fit fg(x) datafilename using (log($1)):(log($5)) via a, b
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 6cm
+ set output 'gamma.tex'
+ set xlabel '$\log(L)$'
+ set ylabel '$\log(\chi^\text{c})$'
+ set key spacing 2
+ } else {
+ set terminal svg dashed size 600, 400 font "Computer Modern,Tinos,Helvetica,15"
+ set output 'gamma.svg'
+ set xlabel "log(L)"
+ set ylabel "log(chi c)"
+ set key spacing 1.25
+ }
+
+ set key top left
+ plot datafilename using (log($1)):(log($5)):($7/$5) with yerr title 'Dades', \
+ fa(x) notitle
+}
+
+# Exponent beta
+
+fb1(x) = a1*x + b1
+fb2(x) = a2*x + b2
+
+fit fb1(x) datafilename using (log($1)):(log($8/$1**2)) via a1, b1
+fit fb2(x) datafilename using (log($1)):(log($9/$1**2)) via a2, b2
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 6cm
+ set output 'beta.tex'
+ set xlabel '$\log(L)$'
+ set ylabel '$\log(\langle |m|^\text{c} \rangle)$'
+ nucv = '$c_V$'
+ nususc = '$\chi$'
+ set key spacing 2
+ } else {
+ set terminal svg dashed size 600, 400 font "Computer Modern,Tinos,Helvetica,15"
+ set output 'beta.svg'
+ set xlabel "log(L)"
+ set ylabel "log(<|m|^c>)"
+ nucv = 'c_V'
+ nususc = '\chi'
+ set key spacing 1.25
+ }
+
+ set key top right
+ plot datafilename using (log($1)):(log($8/$1**2)):($10/($8)) with yerr title nucv, \
+ datafilename using (log($1)):(log($9/$1**2)):($11/($9)) with yerr title nususc, \
+ f1(x) notitle, f2(x) notitle
+}
diff --git a/quad10/fenomens/lab/informe/graphs/alpha.pdf b/quad10/fenomens/lab/informe/graphs/alpha.pdf
new file mode 100644
index 0000000..4d1426c
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/alpha.pdf
Binary files differ
diff --git a/quad10/fenomens/lab/informe/graphs/alpha.svg b/quad10/fenomens/lab/informe/graphs/alpha.svg
new file mode 100644
index 0000000..754f230
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/alpha.svg
@@ -0,0 +1,242 @@
+<?xml version="1.0" encoding="utf-8" standalone="no"?>
+<svg
+ width="600" height="400"
+ viewBox="0 0 600 400"
+ xmlns="http://www.w3.org/2000/svg"
+ xmlns:xlink="http://www.w3.org/1999/xlink"
+>
+
+<title>Gnuplot</title>
+<desc>Produced by GNUPLOT 5.4 patchlevel 3 </desc>
+
+<g id="gnuplot_canvas">
+
+<rect x="0" y="0" width="600" height="400" fill="none"/>
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+ <circle id='gpDot' r='0.5' stroke-width='0.5' stroke='currentColor'/>
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diff --git a/quad10/fenomens/lab/informe/graphs/beta.pdf b/quad10/fenomens/lab/informe/graphs/beta.pdf
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4.5</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,319.57 L568.49,319.57 M568.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,171.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >log(<|m|</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="12.0" dy="-7.50px">c</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="15.0" dy="7.50px">>)</tspan></text>
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+ <g transform="translate(333.83,389.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >log(L)</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >c</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="12.0" dy="4.50px">V</tspan><tspan font-size="15.0" dy="-4.50"></tspan></text>
+ </g>
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diff --git a/quad10/fenomens/lab/informe/graphs/beta.tex b/quad10/fenomens/lab/informe/graphs/beta.tex
new file mode 100644
index 0000000..70705aa
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/beta.tex
@@ -0,0 +1,126 @@
+% GNUPLOT: LaTeX picture with Postscript
+\begingroup
+ \makeatletter
+ \providecommand\color[2][]{%
+ \GenericError{(gnuplot) \space\space\space\@spaces}{%
+ Package color not loaded in conjunction with
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+ }{See the gnuplot documentation for explanation.%
+ }{Either use 'blacktext' in gnuplot or load the package
+ color.sty in LaTeX.}%
+ \renewcommand\color[2][]{}%
+ }%
+ \providecommand\includegraphics[2][]{%
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+ Package graphicx or graphics not loaded%
+ }{See the gnuplot documentation for explanation.%
+ }{The gnuplot epslatex terminal needs graphicx.sty or graphics.sty.}%
+ \renewcommand\includegraphics[2][]{}%
+ }%
+ \providecommand\rotatebox[2]{#2}%
+ \@ifundefined{ifGPcolor}{%
+ \newif\ifGPcolor
+ \GPcolortrue
+ }{}%
+ \@ifundefined{ifGPblacktext}{%
+ \newif\ifGPblacktext
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
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+</g>
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+ <g id="gnuplot_plot_2" ><title>L = 16</title>
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+ <g transform="translate(683.74,80.82)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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+ <g transform="translate(683.74,137.06)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.5</tspan></text>
+ </g>
+</g>
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+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M182.84,719.57 L182.84,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M182.84,719.57 L182.84,728.00 '/> <g transform="translate(182.84,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.4</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M601.16,719.57 L601.16,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M684.83,719.57 L684.83,174.36 M684.83,33.76 L684.83,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M684.83,719.57 L684.83,728.00 '/> <g transform="translate(684.83,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Capacitat calorífica</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
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+ <path stroke='rgb(148, 0, 211)' d='M694.24,47.82 L747.49,47.82 M99.18,649.24 L120.10,638.98 L141.01,627.66 L161.93,615.53 L182.84,601.99 L203.76,586.46
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+ <use xlink:href='#gpPt0' transform='translate(768.49,622.26) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <g id="gnuplot_plot_2" ><title>L = 16</title>
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+ <g transform="translate(683.74,80.82)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <use xlink:href='#gpPt1' transform='translate(726.66,622.67) scale(2.81)' color='rgb( 0, 158, 115)'/>
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+ <use xlink:href='#gpPt1' transform='translate(768.49,632.58) scale(2.81)' color='rgb( 0, 158, 115)'/>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <g transform="translate(683.74,108.94)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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+ <g transform="translate(683.74,137.06)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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+ <g id="gnuplot_plot_5" ><title>L = 96</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 96</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,92.22 L90.75,92.22 '/> <g transform="translate(80.25,97.10)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M99.18,719.57 L99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M182.84,719.57 L182.84,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M182.84,719.57 L182.84,728.00 '/> <g transform="translate(182.84,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M266.51,719.57 L266.51,22.51 '/></g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
+ </g>
+</g>
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+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.2</tspan></text>
+ </g>
+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.4</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M684.83,719.57 L684.83,728.00 '/> <g transform="translate(684.83,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Capacitat calorífica</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>Var(e)/T2</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Var(e)/T</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="12.0" dy="-7.50px">2</tspan><tspan font-size="15.0" dy="7.50"></tspan></text>
+ </g>
+</g>
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+ <path stroke='black' d='M26.25,68.80 L26.25,311.05 L268.49,311.05 L268.49,68.80 L26.25,68.80 Z '/></g>
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+ <g transform="translate(147.37,39.93)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T = 1.9</tspan></text>
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+ <g id="gnuplot_plot_1b" ><title>gnuplot_plot_1b</title>
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+ <g transform="translate(447.37,39.93)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T = 2.2</tspan></text>
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+ <g id="gnuplot_plot_1c" ><title>gnuplot_plot_1c</title>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M26.25,402.13 L26.25,644.38 L268.49,644.38 L268.49,402.13 L26.25,402.13 Z '/></g>
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+ <g transform="translate(147.37,373.26)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T = 2.5</tspan></text>
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+ <g id="gnuplot_plot_1d" ><title>gnuplot_plot_1d</title>
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+ <path stroke='black' d='M326.25,402.13 L326.25,644.38 L568.49,644.38 L568.49,402.13 L326.25,402.13 Z '/></g>
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+ <g transform="translate(447.37,373.26)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T = 2.8</tspan></text>
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+ <g id="gnuplot_plot_1e" ><title>gnuplot_plot_1e</title>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M26.25,735.46 L26.25,977.71 L268.49,977.71 L268.49,735.46 L26.25,735.46 Z '/></g>
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+ <g transform="translate(147.37,706.59)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T = 3.1</tspan></text>
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+ <g id="gnuplot_plot_1f" ><title>gnuplot_plot_1f</title>
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diff --git a/quad10/fenomens/lab/informe/graphs/confs.tex b/quad10/fenomens/lab/informe/graphs/confs.tex
new file mode 100644
index 0000000..b283a72
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/confs.tex
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diff --git a/quad10/fenomens/lab/informe/graphs/depEnSeed.pdf b/quad10/fenomens/lab/informe/graphs/depEnSeed.pdf
new file mode 100644
index 0000000..b3aadd7
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/depEnSeed.pdf
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new file mode 100644
index 0000000..75d2044
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4000</tspan></text>
+ </g>
+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 6000</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 8000</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M568.49,528.00 L568.49,516.75 M568.49,90.01 L568.49,101.26 '/> <g transform="translate(568.49,555.38)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 10000</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M90.75,90.01 L90.75,528.00 L568.49,528.00 L568.49,90.01 L90.75,90.01 Z '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,309.01) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >$langle e rangle$</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(329.62,589.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Iteracions MC</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1a" ><title>$S = 17427$</title>
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+ <g transform="translate(283.49,27.38)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >$S = 17427$</tspan></text>
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+ </g>
+ <g id="gnuplot_plot_5a" ><title>$S = 99963$</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >$S = 99963$</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-0.5</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.5</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4000</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 6000</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 8000</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M568.49,1128.00 L568.49,1116.75 M568.49,690.00 L568.49,701.25 '/> <g transform="translate(568.49,1155.38)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 10000</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M90.75,690.00 L90.75,1128.00 L568.49,1128.00 L568.49,690.00 L90.75,690.00 Z '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,909.00) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >$langle m rangle$</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(329.62,1189.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Iteracions MC</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1b" ><title>$S = 17427$</title>
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+ <g transform="translate(283.49,627.38)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >$S = 17427$</tspan></text>
+ </g>
+</g>
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diff --git a/quad10/fenomens/lab/informe/graphs/depEnSeed.tex b/quad10/fenomens/lab/informe/graphs/depEnSeed.tex
new file mode 100644
index 0000000..523a7ea
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/depEnSeed.tex
@@ -0,0 +1,168 @@
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4000</tspan></text>
+ </g>
+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 6000</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 8000</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 10000</tspan></text>
+ </g>
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='black' d='M90.75,667.50 L90.75,1128.00 L568.49,1128.00 L568.49,667.50 L90.75,667.50 Z '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,897.75) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >$langle m rangle$</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(329.62,1189.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Iteracions MC</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1b" ><title>T = 1.5</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T = 1.5</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-0.4</tspan></text>
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-0.2</tspan></text>
+ </g>
+</g>
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0</tspan></text>
+ </g>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M182.84,719.57 L182.84,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.4</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M601.16,719.57 L601.16,22.51 '/></g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
+ </g>
+</g>
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M684.83,719.57 L684.83,708.32 M684.83,595.84 L684.83,22.51 '/></g>
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+ <path stroke='rgb(128, 128, 128)' d='M684.83,719.57 L684.83,728.00 '/> <g transform="translate(684.83,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
+ </g>
+</g>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Energia per partícula</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1a" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,614.78)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M694.24,609.90 L747.49,609.90 M99.18,694.58 L120.10,689.63 L141.01,684.04 L161.93,677.66 L182.84,670.55 L203.76,662.33
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+ <g id="gnuplot_plot_2a" ><title>L = 16</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <g id="gnuplot_plot_3a" ><title>L = 32</title>
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+ <g transform="translate(683.74,671.02)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4a" ><title>L = 64</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.5</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.45</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.4</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.35</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,163.86 L528.49,163.86 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,163.86 L158.75,163.86 '/> <g transform="translate(148.25,168.74)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,123.19 L528.49,123.19 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,123.19 L158.75,123.19 '/> <g transform="translate(148.25,128.07)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.25</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,82.51 L528.49,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,82.51 L158.75,82.51 '/> <g transform="translate(148.25,87.39)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,326.57 L167.18,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,326.57 L167.18,335.00 '/> <g transform="translate(167.18,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M227.40,326.57 L227.40,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M227.40,326.57 L227.40,335.00 '/> <g transform="translate(227.40,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.31</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M287.62,326.57 L287.62,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M287.62,326.57 L287.62,335.00 '/> <g transform="translate(287.62,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.32</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M347.83,326.57 L347.83,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M347.83,326.57 L347.83,335.00 '/> <g transform="translate(347.83,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.33</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M408.05,326.57 L408.05,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M408.05,326.57 L408.05,335.00 '/> <g transform="translate(408.05,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.34</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M468.27,326.57 L468.27,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M468.27,326.57 L468.27,335.00 '/> <g transform="translate(468.27,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.35</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M528.49,326.57 L528.49,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M528.49,326.57 L528.49,335.00 '/> <g transform="translate(528.49,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.36</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,82.51 L167.18,326.57 L528.49,326.57 M528.49,82.51 M167.18,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(92.74,204.54) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(347.83,391.63)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1b" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M167.18,291.01 L197.29,286.31 L227.40,281.47 L257.51,275.89 L287.62,272.25 L317.73,267.54 L347.84,262.52 L377.94,257.89
+ L408.05,252.76 L438.16,247.66 L468.27,242.39 L498.38,237.84 L528.49,232.91 '/> <use xlink:href='#gpPt0' transform='translate(167.18,291.01) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(197.29,286.31) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(227.40,281.47) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(257.51,275.89) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(287.62,272.25) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(317.73,267.54) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(347.84,262.52) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(377.94,257.89) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(408.05,252.76) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(438.16,247.66) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(468.27,242.39) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(498.38,237.84) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(528.49,232.91) scale(2.81)' color='rgb(148, 0, 211)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_2b" ><title>L = 16</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb( 0, 158, 115)' d='M167.18,251.04 L197.29,244.15 L227.40,237.17 L257.51,230.24 L287.62,225.09 L317.73,218.70 L347.84,212.04 L377.94,206.26
+ L408.05,199.71 L438.16,193.69 L468.27,187.47 L498.38,180.61 L528.49,174.87 '/> <use xlink:href='#gpPt1' transform='translate(167.18,251.04) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(197.29,244.15) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(227.40,237.17) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(257.51,230.24) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(287.62,225.09) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(317.73,218.70) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(347.84,212.04) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(377.94,206.26) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(408.05,199.71) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(438.16,193.69) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(468.27,187.47) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(498.38,180.61) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(528.49,174.87) scale(2.81)' color='rgb( 0, 158, 115)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_3b" ><title>L = 32</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb( 86, 180, 233)' d='M167.18,225.10 L197.29,217.30 L227.40,209.81 L257.51,202.27 L287.62,194.45 L317.73,187.12 L347.84,180.32 L377.94,173.34
+ L408.05,165.72 L438.16,158.68 L468.27,152.05 L498.38,145.59 L528.49,139.35 '/> <use xlink:href='#gpPt2' transform='translate(167.18,225.10) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(197.29,217.30) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(227.40,209.81) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(257.51,202.27) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(287.62,194.45) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(317.73,187.12) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(347.84,180.32) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(377.94,173.34) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(408.05,165.72) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(438.16,158.68) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(468.27,152.05) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(498.38,145.59) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(528.49,139.35) scale(2.81)' color='rgb( 86, 180, 233)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_4b" ><title>L = 64</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(230, 159, 0)' d='M167.18,209.67 L197.29,200.37 L227.40,192.28 L257.51,184.34 L287.62,176.95 L317.73,169.64 L347.84,162.48 L377.94,156.03
+ L408.05,149.88 L438.16,143.36 L468.27,137.74 L498.38,131.90 L528.49,126.26 '/> <use xlink:href='#gpPt3' transform='translate(167.18,209.67) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(197.29,200.37) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(227.40,192.28) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(257.51,184.34) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(287.62,176.95) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(317.73,169.64) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(347.84,162.48) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(377.94,156.03) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(408.05,149.88) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(438.16,143.36) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(468.27,137.74) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(498.38,131.90) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(528.49,126.26) scale(2.81)' color='rgb(230, 159, 0)'/>
+</g>
+ </g>
+<g fill="none" color="white" stroke="rgb(230, 159, 0)" stroke-width="2.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="2.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="black" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,82.51 L167.18,326.57 L528.49,326.57 M528.49,82.51 M167.18,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+</g>
+</svg>
+
diff --git a/quad10/fenomens/lab/informe/graphs/energia.tex b/quad10/fenomens/lab/informe/graphs/energia.tex
new file mode 100644
index 0000000..6d37c17
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/energia.tex
@@ -0,0 +1,150 @@
+% GNUPLOT: LaTeX picture with Postscript
+\begingroup
+ \makeatletter
+ \providecommand\color[2][]{%
+ \GenericError{(gnuplot) \space\space\space\@spaces}{%
+ Package color not loaded in conjunction with
+ terminal option `colourtext'%
+ }{See the gnuplot documentation for explanation.%
+ }{Either use 'blacktext' in gnuplot or load the package
+ color.sty in LaTeX.}%
+ \renewcommand\color[2][]{}%
+ }%
+ \providecommand\includegraphics[2][]{%
+ \GenericError{(gnuplot) \space\space\space\@spaces}{%
+ Package graphicx or graphics not loaded%
+ }{See the gnuplot documentation for explanation.%
+ }{The gnuplot epslatex terminal needs graphicx.sty or graphics.sty.}%
+ \renewcommand\includegraphics[2][]{}%
+ }%
+ \providecommand\rotatebox[2]{#2}%
+ \@ifundefined{ifGPcolor}{%
+ \newif\ifGPcolor
+ \GPcolortrue
+ }{}%
+ \@ifundefined{ifGPblacktext}{%
+ \newif\ifGPblacktext
+ \GPblacktexttrue
+ }{}%
+ % define a \g@addto@macro without @ in the name:
+ \let\gplgaddtomacro\g@addto@macro
+ % define empty templates for all commands taking text:
+ \gdef\gplbacktext{}%
+ \gdef\gplfronttext{}%
+ \makeatother
+ \ifGPblacktext
+ % no textcolor at all
+ \def\colorrgb#1{}%
+ \def\colorgray#1{}%
+ \else
+ % gray or color?
+ \ifGPcolor
+ \def\colorrgb#1{\color[rgb]{#1}}%
+ \def\colorgray#1{\color[gray]{#1}}%
+ \expandafter\def\csname LTw\endcsname{\color{white}}%
+ \expandafter\def\csname LTb\endcsname{\color{black}}%
+ \expandafter\def\csname LTa\endcsname{\color{black}}%
+ \expandafter\def\csname LT0\endcsname{\color[rgb]{1,0,0}}%
+ \expandafter\def\csname LT1\endcsname{\color[rgb]{0,1,0}}%
+ \expandafter\def\csname LT2\endcsname{\color[rgb]{0,0,1}}%
+ \expandafter\def\csname LT3\endcsname{\color[rgb]{1,0,1}}%
+ \expandafter\def\csname LT4\endcsname{\color[rgb]{0,1,1}}%
+ \expandafter\def\csname LT5\endcsname{\color[rgb]{1,1,0}}%
+ \expandafter\def\csname LT6\endcsname{\color[rgb]{0,0,0}}%
+ \expandafter\def\csname LT7\endcsname{\color[rgb]{1,0.3,0}}%
+ \expandafter\def\csname LT8\endcsname{\color[rgb]{0.5,0.5,0.5}}%
+ \else
+ % gray
+ \def\colorrgb#1{\color{black}}%
+ \def\colorgray#1{\color[gray]{#1}}%
+ \expandafter\def\csname LTw\endcsname{\color{white}}%
+ \expandafter\def\csname LTb\endcsname{\color{black}}%
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+ <path stroke='rgb(128, 128, 128)' d='M433.84,719.57 L433.84,728.00 '/> <g transform="translate(433.84,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.4</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M517.50,719.57 L517.50,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M517.50,719.57 L517.50,728.00 '/> <g transform="translate(517.50,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M601.16,719.57 L601.16,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M601.16,719.57 L601.16,728.00 '/> <g transform="translate(601.16,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M684.83,719.57 L684.83,708.32 M684.83,567.72 L684.83,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M684.83,719.57 L684.83,728.00 '/> <g transform="translate(684.83,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Energia per partícula</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1a" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,586.66)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M694.24,581.78 L747.49,581.78 M99.18,694.58 L120.10,689.63 L141.01,684.04 L161.93,677.66 L182.84,670.55 L203.76,662.33
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+ <use xlink:href='#gpPt0' transform='translate(379.45,542.13) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(381.55,539.76) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(383.64,538.07) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(385.73,535.84) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(389.91,532.14) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(425.47,496.42) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(427.56,495.16) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(488.22,437.63) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(559.33,381.71) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(580.25,367.93) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(601.16,356.02) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(622.08,344.16) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(642.99,333.85) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(663.91,324.42) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(684.83,316.01) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(705.74,307.41) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(726.66,299.83) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(747.57,293.03) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(768.49,286.41) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(720.86,581.78) scale(2.81)' color='rgb(148, 0, 211)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_2a" ><title>L = 16</title>
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+ <g transform="translate(683.74,614.78)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
+ </g>
+</g>
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+ <g id="gnuplot_plot_3a" ><title>L = 32</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4a" ><title>L = 64</title>
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+ <g transform="translate(683.74,671.02)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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+ <g id="gnuplot_plot_5a" ><title>L = 96</title>
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+ <g transform="translate(683.74,699.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 96</tspan></text>
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+</g>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,326.57 L528.49,326.57 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,326.57 L158.75,326.57 '/> <g transform="translate(148.25,331.45)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.5</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,285.89 L528.49,285.89 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,285.89 L158.75,285.89 '/> <g transform="translate(148.25,290.77)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.45</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,245.22 L528.49,245.22 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,245.22 L158.75,245.22 '/> <g transform="translate(148.25,250.10)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.4</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,204.54 L528.49,204.54 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,204.54 L158.75,204.54 '/> <g transform="translate(148.25,209.42)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.35</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,163.86 L528.49,163.86 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,163.86 L158.75,163.86 '/> <g transform="translate(148.25,168.74)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,123.19 L528.49,123.19 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,123.19 L158.75,123.19 '/> <g transform="translate(148.25,128.07)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.25</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,82.51 L528.49,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,82.51 L158.75,82.51 '/> <g transform="translate(148.25,87.39)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-1.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M167.18,326.57 L167.18,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,326.57 L167.18,335.00 '/> <g transform="translate(167.18,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M227.40,326.57 L227.40,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M227.40,326.57 L227.40,335.00 '/> <g transform="translate(227.40,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.31</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M287.62,326.57 L287.62,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M287.62,326.57 L287.62,335.00 '/> <g transform="translate(287.62,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.32</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M347.83,326.57 L347.83,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M347.83,326.57 L347.83,335.00 '/> <g transform="translate(347.83,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.33</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M408.05,326.57 L408.05,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M408.05,326.57 L408.05,335.00 '/> <g transform="translate(408.05,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.34</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M468.27,326.57 L468.27,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M468.27,326.57 L468.27,335.00 '/> <g transform="translate(468.27,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.35</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M528.49,326.57 L528.49,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M528.49,326.57 L528.49,335.00 '/> <g transform="translate(528.49,362.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.36</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M167.18,82.51 L167.18,326.57 L528.49,326.57 M528.49,82.51 M167.18,82.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(92.74,204.54) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(347.83,391.63)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1b" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M167.18,291.01 L197.29,286.31 L227.40,281.47 L257.51,275.89 L287.62,272.25 L317.73,267.54 L347.84,262.52 L377.94,257.89
+ L408.05,252.76 L438.16,247.66 L468.27,242.39 L498.38,237.84 L528.49,232.91 '/> <use xlink:href='#gpPt0' transform='translate(167.18,291.01) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(197.29,286.31) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(227.40,281.47) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(257.51,275.89) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(287.62,272.25) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(317.73,267.54) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(347.84,262.52) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(377.94,257.89) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(408.05,252.76) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(438.16,247.66) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(468.27,242.39) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(498.38,237.84) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(528.49,232.91) scale(2.81)' color='rgb(148, 0, 211)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_2b" ><title>L = 16</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb( 0, 158, 115)' d='M167.18,251.04 L197.29,244.15 L227.40,237.17 L257.51,230.24 L287.62,225.09 L317.73,218.70 L347.84,212.04 L377.94,206.26
+ L408.05,199.71 L438.16,193.69 L468.27,187.47 L498.38,180.61 L528.49,174.87 '/> <use xlink:href='#gpPt1' transform='translate(167.18,251.04) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(197.29,244.15) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(227.40,237.17) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(257.51,230.24) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(287.62,225.09) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(317.73,218.70) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(347.84,212.04) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(377.94,206.26) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(408.05,199.71) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(438.16,193.69) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(468.27,187.47) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(498.38,180.61) scale(2.81)' color='rgb( 0, 158, 115)'/>
+ <use xlink:href='#gpPt1' transform='translate(528.49,174.87) scale(2.81)' color='rgb( 0, 158, 115)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_3b" ><title>L = 32</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb( 86, 180, 233)' d='M167.18,225.10 L197.29,217.30 L227.40,209.81 L257.51,202.27 L287.62,194.45 L317.73,187.12 L347.84,180.32 L377.94,173.34
+ L408.05,165.72 L438.16,158.68 L468.27,152.05 L498.38,145.59 L528.49,139.35 '/> <use xlink:href='#gpPt2' transform='translate(167.18,225.10) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(197.29,217.30) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(227.40,209.81) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(257.51,202.27) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(287.62,194.45) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(317.73,187.12) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(347.84,180.32) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(377.94,173.34) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(408.05,165.72) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(438.16,158.68) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(468.27,152.05) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(498.38,145.59) scale(2.81)' color='rgb( 86, 180, 233)'/>
+ <use xlink:href='#gpPt2' transform='translate(528.49,139.35) scale(2.81)' color='rgb( 86, 180, 233)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_4b" ><title>L = 64</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(230, 159, 0)' d='M167.18,209.67 L197.29,200.37 L227.40,192.28 L257.51,184.34 L287.62,176.95 L317.73,169.64 L347.84,162.48 L377.94,156.03
+ L408.05,149.88 L438.16,143.36 L468.27,137.74 L498.38,131.90 L528.49,126.26 '/> <use xlink:href='#gpPt3' transform='translate(167.18,209.67) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(197.29,200.37) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(227.40,192.28) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(257.51,184.34) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(287.62,176.95) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(317.73,169.64) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(347.84,162.48) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(377.94,156.03) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(408.05,149.88) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(438.16,143.36) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(468.27,137.74) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(498.38,131.90) scale(2.81)' color='rgb(230, 159, 0)'/>
+ <use xlink:href='#gpPt3' transform='translate(528.49,126.26) scale(2.81)' color='rgb(230, 159, 0)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_5b" ><title>L = 96</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(240, 228, 66)' d='M167.18,201.23 L227.40,186.61 L287.62,172.36 L347.84,158.74 L408.05,148.32 L468.27,136.37 L528.49,124.48 '/> <use xlink:href='#gpPt4' transform='translate(167.18,201.23) scale(2.81)' color='rgb(240, 228, 66)'/>
+ <use xlink:href='#gpPt4' transform='translate(227.40,186.61) scale(2.81)' color='rgb(240, 228, 66)'/>
+ <use xlink:href='#gpPt4' transform='translate(287.62,172.36) scale(2.81)' color='rgb(240, 228, 66)'/>
+ <use xlink:href='#gpPt4' transform='translate(347.84,158.74) scale(2.81)' color='rgb(240, 228, 66)'/>
+ <use xlink:href='#gpPt4' transform='translate(408.05,148.32) scale(2.81)' color='rgb(240, 228, 66)'/>
+ <use xlink:href='#gpPt4' transform='translate(468.27,136.37) scale(2.81)' color='rgb(240, 228, 66)'/>
+ <use xlink:href='#gpPt4' transform='translate(528.49,124.48) scale(2.81)' color='rgb(240, 228, 66)'/>
+</g>
+ </g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Energia per partícula</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" ><e></tspan></text>
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+ <g id="gnuplot_plot_2a" ><title>-sqrt(<e2>)</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-sqrt(<e</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="12.0" dy="-7.50px">2</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="15.0" dy="7.50px">>)</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,59.64 L90.75,59.64 '/> <g transform="translate(80.25,64.52)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4.5</tspan></text>
+ </g>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M99.18,319.57 L99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M380.77,319.57 L380.77,22.51 '/></g>
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+ <path stroke='rgb(128, 128, 128)' d='M380.77,319.57 L380.77,328.00 '/> <g transform="translate(380.77,355.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.5</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M474.63,319.57 L474.63,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M474.63,319.57 L474.63,328.00 '/> <g transform="translate(474.63,355.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M568.49,319.57 L568.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M568.49,319.57 L568.49,328.00 '/> <g transform="translate(568.49,355.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 4.5</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,319.57 L568.49,319.57 M568.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,171.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >log(chi c)</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(333.83,389.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >log(L)</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>Dades</title>
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+ <g transform="translate(162.18,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Dades</tspan></text>
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+ <path stroke='rgb(148, 0, 211)' d='M172.68,47.82 L225.93,47.82 M172.68,42.20 L172.68,53.44 M225.93,42.20 L225.93,53.44 M114.09,315.07 L114.09,314.23
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new file mode 100644
index 0000000..83db6dd
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diff --git a/quad10/fenomens/lab/informe/graphs/magnetitzacio.pdf b/quad10/fenomens/lab/informe/graphs/magnetitzacio.pdf
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Binary files differ
diff --git a/quad10/fenomens/lab/informe/graphs/magnetitzacio.svg b/quad10/fenomens/lab/informe/graphs/magnetitzacio.svg
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.7</tspan></text>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M99.18,161.92 L768.49,161.92 '/></g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.8</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.9</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.6</tspan></text>
+ </g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M684.83,719.57 L684.83,728.00 '/> <g transform="translate(684.83,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Magnetització per partícula</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M694.24,47.82 L747.49,47.82 M99.18,36.71 L120.10,39.80 L141.01,43.39 L161.93,47.70 L182.84,52.59 L203.76,58.62
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+ <g id="gnuplot_plot_2" ><title>L = 16</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <g transform="translate(683.74,108.94)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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+ <g transform="translate(683.74,137.06)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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new file mode 100644
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.7</tspan></text>
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+ <path stroke='rgb(128, 128, 128)' d='M99.18,161.92 L90.75,161.92 '/> <g transform="translate(80.25,166.80)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.8</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.9</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.6</tspan></text>
+ </g>
+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.2</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
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+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
+ </g>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Magnetització per partícula</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <g id="gnuplot_plot_2" ><title>L = 16</title>
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+ <g transform="translate(683.74,80.82)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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+ <g transform="translate(683.74,137.06)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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+ <g id="gnuplot_plot_5" ><title>L = 96</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 96</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Magnetització per partícula</tspan></text>
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diff --git a/quad10/fenomens/lab/informe/graphs/magnetitzacio_L32.tex b/quad10/fenomens/lab/informe/graphs/magnetitzacio_L32.tex
new file mode 100644
index 0000000..dde8a08
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/magnetitzacio_L32.tex
@@ -0,0 +1,140 @@
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M500.77,697.07 L500.77,705.50 '/> <g transform="translate(500.77,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 10</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M567.70,697.07 L567.70,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M567.70,697.07 L567.70,705.50 '/> <g transform="translate(567.70,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 15</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M634.63,697.07 L634.63,146.24 M634.63,33.76 L634.63,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M634.63,697.07 L634.63,705.50 '/> <g transform="translate(634.63,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 20</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M701.56,697.07 L701.56,146.24 M701.56,33.76 L701.56,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M701.56,697.07 L701.56,705.50 '/> <g transform="translate(701.56,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 25</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,697.07 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,697.07 L768.49,705.50 '/> <g transform="translate(768.49,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 30</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,697.07 L768.49,697.07 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,359.79) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" ><|m|> L</tspan><tspan font-family="Computer Modern" font-size="12.0" dy="-7.50px">beta/nu</tspan><tspan font-size="15.0" dy="7.50"></tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(433.83,766.63)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L</tspan><tspan font-family="Computer Modern" font-size="12.0" dy="-7.50px">1/nu</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="15.0" dy="7.50px"> t</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M694.24,47.82 L747.49,47.82 M335.36,215.99 L337.72,218.17 L340.08,220.71 L342.45,223.74 L344.81,227.18 L347.17,231.43
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+ <use xlink:href='#gpPt0' transform='translate(381.16,426.21) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(382.58,436.42) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(384.94,451.50) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(387.30,465.72) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(389.66,479.18) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(392.02,490.37) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(394.38,501.75) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(396.75,510.93) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(399.11,519.45) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(401.47,526.87) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(403.83,533.95) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(406.19,540.77) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(408.55,546.00) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(410.91,551.12) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(720.86,47.82) scale(2.81)' color='rgb(148, 0, 211)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_2" ><title>L = 16</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,80.82)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
+ </g>
+</g>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <g transform="translate(683.74,108.94)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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+ <g transform="translate(683.74,137.06)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M88.68,719.57 L88.68,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M88.68,719.57 L88.68,728.00 '/> <g transform="translate(88.68,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M173.66,719.57 L173.66,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M173.66,719.57 L173.66,728.00 '/> <g transform="translate(173.66,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 1.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M258.63,719.57 L258.63,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M258.63,719.57 L258.63,728.00 '/> <g transform="translate(258.63,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M343.61,719.57 L343.61,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M343.61,719.57 L343.61,728.00 '/> <g transform="translate(343.61,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M428.59,719.57 L428.59,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M428.59,719.57 L428.59,728.00 '/> <g transform="translate(428.59,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.4</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M513.56,719.57 L513.56,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M513.56,719.57 L513.56,728.00 '/> <g transform="translate(513.56,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.6</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M598.54,719.57 L598.54,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M598.54,719.57 L598.54,728.00 '/> <g transform="translate(598.54,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 2.8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M683.51,719.57 L683.51,213.76 M683.51,33.76 L683.51,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M683.51,719.57 L683.51,728.00 '/> <g transform="translate(683.51,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,719.57 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,719.57 L768.49,728.00 '/> <g transform="translate(768.49,755.38)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M88.68,22.51 L88.68,719.57 L768.49,719.57 M768.49,22.51 M88.68,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,371.04) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Susceptibilitat magnètica</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(428.58,789.13)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,61.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M694.24,56.26 L747.49,56.26 M88.68,719.17 L109.92,719.06 L131.17,718.93 L152.41,718.73 L173.66,718.50 L194.90,718.16
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+ L556.05,704.78 L577.29,705.59 L598.54,706.38 L619.78,707.25 L641.03,708.04 L662.27,708.84 L683.51,709.53 L704.76,710.22
+ L726.00,710.86 L747.25,711.38 L768.49,711.92 '/> <use xlink:href='#gpPt0' transform='translate(88.68,719.17) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(109.92,719.06) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(131.17,718.93) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(152.41,718.73) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(216.14,717.72) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(237.39,717.13) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(258.63,716.27) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(279.88,715.27) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(301.12,714.07) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(366.98,708.91) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(369.10,708.78) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(371.23,708.48) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(373.35,708.36) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(375.47,708.15) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(377.60,707.98) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(379.72,707.80) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(381.85,707.70) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(383.97,707.56) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(386.10,707.36) scale(2.81)' color='rgb(148, 0, 211)'/>
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+ <use xlink:href='#gpPt0' transform='translate(534.81,704.04) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(556.05,704.78) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(577.29,705.59) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(598.54,706.38) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(619.78,707.25) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(641.03,708.04) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(662.27,708.84) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(683.51,709.53) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(704.76,710.22) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(726.00,710.86) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(747.25,711.38) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(768.49,711.92) scale(2.81)' color='rgb(148, 0, 211)'/>
+ <use xlink:href='#gpPt0' transform='translate(720.86,56.26) scale(2.81)' color='rgb(148, 0, 211)'/>
+</g>
+ </g>
+ <g id="gnuplot_plot_2" ><title>L = 16</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,106.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
+ </g>
+</g>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <g transform="translate(683.74,151.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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diff --git a/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica.tex b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica.tex
new file mode 100644
index 0000000..1daf55b
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica.tex
@@ -0,0 +1,138 @@
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 3.2</tspan></text>
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+</g>
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+ <path stroke='rgb(128, 128, 128)' d='M99.18,22.51 L99.18,719.57 L768.49,719.57 M768.49,22.51 M99.18,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >Susceptibilitat magnètica</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >T</tspan></text>
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+ <g id="gnuplot_plot_2" ><title>L = 16</title>
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+ <g transform="translate(683.74,106.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <g transform="translate(683.74,151.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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+ <g transform="translate(683.74,196.14)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 64</tspan></text>
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diff --git a/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_ALLL.tex b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_ALLL.tex
new file mode 100644
index 0000000..721964c
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_ALLL.tex
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diff --git a/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_L32.pdf b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_L32.pdf
new file mode 100644
index 0000000..0d67bb5
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_L32.pdf
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new file mode 100644
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index 0000000..237ba9d
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.04</tspan></text>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.05</tspan></text>
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+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M109.68,191.15 L768.49,191.15 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M109.68,191.15 L101.25,191.15 '/> <g transform="translate(90.75,196.03)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.06</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M109.68,106.83 L620.74,106.83 M757.99,106.83 L768.49,106.83 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M109.68,106.83 L101.25,106.83 '/> <g transform="translate(90.75,111.71)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.07</tspan></text>
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+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M109.68,22.51 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0.08</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M109.68,697.07 L109.68,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M109.68,697.07 L109.68,705.50 '/> <g transform="translate(109.68,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-20</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M175.56,697.07 L175.56,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M175.56,697.07 L175.56,705.50 '/> <g transform="translate(175.56,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-15</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M241.44,697.07 L241.44,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-10</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M307.32,697.07 L307.32,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >-5</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M373.20,697.07 L373.20,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 0</tspan></text>
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+</g>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 5</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 10</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M570.85,697.07 L570.85,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M570.85,697.07 L570.85,705.50 '/> <g transform="translate(570.85,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 15</tspan></text>
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+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M636.73,697.07 L636.73,146.24 M636.73,33.76 L636.73,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M636.73,697.07 L636.73,705.50 '/> <g transform="translate(636.73,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 20</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M702.61,697.07 L702.61,146.24 M702.61,33.76 L702.61,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M702.61,697.07 L702.61,705.50 '/> <g transform="translate(702.61,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 25</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(214, 215, 217)' stroke-dasharray='3.0' class="gridline" d='M768.49,697.07 L768.49,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M768.49,697.07 L768.49,705.50 '/> <g transform="translate(768.49,732.88)" stroke="none" fill="rgb(128,128,128)" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" > 30</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(128, 128, 128)' d='M109.68,22.51 L109.68,697.07 L768.49,697.07 M768.49,22.51 M109.68,22.51 '/></g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(23.99,359.79) rotate(270)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >chi/(L</tspan><tspan font-family="Computer Modern" font-size="12.0" dy="-7.50px">gamma/nu</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="15.0" dy="7.50px">)</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(439.08,766.63)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="middle">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L</tspan><tspan font-family="Computer Modern" font-size="12.0" dy="-7.50px">1/nu</tspan><tspan font-family="Computer Modern,Tinos,Helvetica" font-size="15.0" dy="7.50px"> t</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+</g>
+ <g id="gnuplot_plot_1" ><title>L = 8</title>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <g transform="translate(683.74,52.70)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 8</tspan></text>
+ </g>
+</g>
+<g fill="none" color="black" stroke="currentColor" stroke-width="1.00" stroke-linecap="butt" stroke-linejoin="miter">
+ <path stroke='rgb(148, 0, 211)' d='M694.24,47.82 L747.49,47.82 M342.16,687.83 L344.48,685.36 L346.81,682.33 L349.13,677.94 L351.45,672.63 L353.78,664.77
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+ <g id="gnuplot_plot_2" ><title>L = 16</title>
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+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 16</tspan></text>
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+ <g id="gnuplot_plot_3" ><title>L = 32</title>
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+ <g transform="translate(683.74,108.94)" stroke="none" fill="black" font-family="Computer Modern,Tinos,Helvetica" font-size="15.00" text-anchor="end">
+ <text><tspan font-family="Computer Modern,Tinos,Helvetica" >L = 32</tspan></text>
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+ <g id="gnuplot_plot_4" ><title>L = 64</title>
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diff --git a/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_fss.tex b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_fss.tex
new file mode 100644
index 0000000..466a136
--- /dev/null
+++ b/quad10/fenomens/lab/informe/graphs/susceptibilitat_magnetica_fss.tex
@@ -0,0 +1,144 @@
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diff --git a/quad10/fenomens/lab/informe/graphs/tc.pdf b/quad10/fenomens/lab/informe/graphs/tc.pdf
new file mode 100644
index 0000000..8218415
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diff --git a/quad10/fenomens/lab/informe/graphs/tc.svg b/quad10/fenomens/lab/informe/graphs/tc.svg
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new file mode 100644
index 0000000..a1aa6a7
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diff --git a/quad10/fenomens/lab/informe/main.tex b/quad10/fenomens/lab/informe/main.tex
new file mode 100644
index 0000000..eb628c6
--- /dev/null
+++ b/quad10/fenomens/lab/informe/main.tex
@@ -0,0 +1,455 @@
+\documentclass[a4paper, 11pt, twocolumn]{article}
+
+\input{preamble.tex}
+\addbibresource{references.bib}
+
+\graphicspath{{graphs/}}
+
+\rhead{Adrià Vilanova Martínez}
+\lhead{Pràctica ordinador FCiTF}
+\fancyfoot[C]{\thepage}
+
+\setlength{\droptitle}{-4em}
+\title{Pràctica ordinador Fenòmens Col·lectius i Transicions de Fase \\
+ \large Algorisme de Metropolis per simular el model d'Ising 2D}
+\author{Adrià Vilanova Martínez}
+\date{Primavera 2022}
+
+\begin{document}
+
+{
+ \parskip = 0pt
+ \maketitle
+}
+
+\section{Introducció}
+
+Les pràctiques d'ordinador de l'assignatura han consistit en simular el model d'Ising 2D amb condicions de vora periòdiques. Això s'ha fet mitjançant l'algoritme de Metropolis.
+
+El model d'Ising que hem emprat descriu el comportament d'una xarxa d'$N$ partícules disposades en els nusos d'una quadrícula 2D que poden tenir spin $+1$ o $-1$. Aquestes partícules només interaccionen amb els 4 veïns, que estan a la dreta, esquerra, dalt i baix. Si denotem per $\langle i, j \rangle$ les parelles de veïns, i $S_i$ l'spin que té la partícula $i$-èssima, el model descriu el comportament d'aquestes partícules mitjançant el següent hamiltonià:\cite[p.~12]{presentacio}
+\[ \Ham(S_1, S_2, \ldots, S_n) = -J \sum_{\langle i, j \rangle} S_i S_j - H \sum_{i = 1}^N S_i, \]
+on $J$ és una constant que modelitza la interacció entre veïns, i $H$ modelitza un camp magnètic extern constant que interacciona amb tots els spins (nosaltres hem estudiat el cas en què $H = 0$).
+
+En el nostre cas hem imposat condicions de contorn periòdiques, és a dir, que la topologia de la nostra xarxa no és la d'un quadrat sinó la d'un tor. En termes simples, això vol dir que una partícula a un dels extrems de la quadrícula té com a veïna la partícula de l'extrem oposat.
+
+Per tal de simular aquest model, hem emprat l'algoritme de Metropolis, que originalment va ser concebut per simular un sistema de partícules en una capsa 2D amb condicions de vora periòdiques, i amb un cert potencial entre partícules que depèn de la distància entre elles.\cite{metropolis} Es tracta d'un mètode de Montecarlo modificat. Aquest algoritme, en la nostra simulació, fa el següent:
+
+\begin{algorithmic}
+ \Procedure{Metropolis}{$T, L$} \Comment{Simulació donada una temp. $T$ i mida de costat de la quadrícula $L$}
+ \State $S \gets$ \Call{genSpinMatrix}{L} \Comment{Inicialitza una matriu d'spins $S$ de mida $L \times L$ aleatòriament}
+ \For{$i \gets 1, ITER$}
+ \For {$j \gets 1, L^2$} \Comment{$L^2 = N$}
+ \State $(x, y) \gets$ \Call{randPos}{} \Comment{Considerem una posició aleatòria de la xarxa}
+ \State $\Delta\Ham \gets$ \Call{difE}{S, x, y} \Comment{Calculem la diferència d'energies entre la configuració en què hem invertit l'spin a la posició $(x, y)$ i la configuració actual $S$}
+ \If{$\Delta\Ham < 0$}
+ \State $S(x, y) \gets -S(x, y)$ \Comment{Acceptem el canvi d'spin}
+ \Else
+ \State $q \gets$ \Call{rand}{$0, 1$} \Comment {Nombre aleatori entre 0 i 1}
+ \If{$q < \exp\left(\frac{- \Delta\Ham}{K_B T}\right)$}
+ \State $S(x, y) \gets -S(x, y)$ \Comment{Acceptem el canvi d'spin}
+ \EndIf
+ \EndIf
+ \EndFor
+ \EndFor
+ \EndProcedure
+\end{algorithmic}
+
+Com es pot veure a l'algoritme anterior explicat amb pseudocodi, a cada iteració del mètode es proposen $L^2$ canvis d'spin.
+
+La propietat essencial d'aquest algoritme és que les configuracions d'spin al final de cada iteració es recorren d'acord amb la seva probabilitat a la col·lectivitat canònica. Per tant, podrem calcular els valors mitjos de les variables termodinàmiques com el promig d'elles sobre totes les configuracions que anem recorrent.\cite[p.~1088]{metropolis}
+
+Els objectius de la pràctica són els següents:
+\begin{itemize}
+ \item Analitzar el comportament de l'energia, magnetització, capacitat calorífica $c_V$ i susceptibilitat magnètica $\chi$ del sistema en funció de la temperatura per diferents valors d'$L$.
+ \item Obtenir la temperatura crítica en el cas $L \to \infty$ i els exponents crítics.
+ \item Comprovar la hipòtesi de \textit{Finite Size Scaling}.
+\end{itemize}
+
+Durant tot l'informe utilitzarem unitats reduïdes, ja que és el que també utilitza el codi desenvolupat: $\Ham^* = \frac{\Ham}{J}$, $H^* = \frac{H}{J} = 0$, $T^* = \frac{K_B T}{J}$. També farem un abús de notació i ometrem l'estrella d'aquestes variables reduïdes per referir-nos a elles.
+
+\section{Evolució temporal a diferents temperatures}
+
+Com es pot observar a la figura \ref{fig:dift}, durant la simulació, tant l'energia com la magnetització convergeixen a un promig quan permetem que passin certes iteracions del mètode de Montecarlo.
+
+\begin{figure}[h]
+ \centering
+ \input{graphs/diferent_t.tex}
+ \caption{Evolució de l'energia per partícula $\langle e \rangle := \langle E \rangle/N$ i la magnetització per partícula $\langle m \rangle := \langle M \rangle/N$ durant la simulació per diferents temperatures $T$, amb $L = 32$.}
+ \label{fig:dift}
+\end{figure}
+
+Això és perquè, tal com es menciona al guió de la pràctica 3, durant les primeres iteracions la cadena de configuracions té una correlació molt forta amb la configuració inicial.\cite[p.~10]{p3} És per això que, a l'hora de calcular els promitjos, el nostre codi no considera les primeres iteracions, ja que l'energia i magnetització podrien no haver convergit al promig.
+
+Una altra conseqüència d'això és el fet que, donat que utilitzem l'algoritme \texttt{mt19937} com a generador de nombres pseudoaleatoris\footnote{Nosaltres utilitzem una traducció al Fortran escrita per Tsuyoshi Tada del programa original en C.\cite{mt19937Fortran}} i aquest depèn d'una llavor per començar a calcular-los,\cite{mt19937} per tal de no dependre de la llavor inicial la simulació es fa per diferents llavors, i les magnituds es promitgen per totes les llavors.
+
+De fet, depenent de la llavor inicial, per temperatures baixes la cadena de configuracions es manté en configuracions amb signe de la magnetització determinada (és a dir, canvia de signe amb una probabilitat molt baixa), tal com es mostra a la figura \ref{fig:depenseed}. Aquest és un altre motiu pel qual fem el promig per moltes llavors, ja que ens permet explorar tant les configuracions amb $M > 0$ com les que tenen $M < 0$.
+
+\begin{figure}[h]
+ \centering
+ \input{graphs/depEnSeed.tex}
+ \caption{Evolució temporal de $\langle e \rangle$ i $\langle m \rangle$ durant la simulació per diferents llavors (\textit{seeds}) inicials $S$, amb $L = 64$.}
+ \label{fig:depenseed}
+\end{figure}
+
+A més, segons el mateix guió, també hi ha correlació entre configuracions consecutives, així que el codi només calcula el promig amb les configuracions obtingudes cada $MCD$ iteracions per evitar introduir la correlació al càlcul del promig.
+
+\newpage
+
+\begin{figure}[h]
+ \centering
+ \input{graphs/confs.tex}
+ \caption{Configuracions al final de la simulació per diferents temperatures $T$.}
+ \label{fig:finalconf}
+\end{figure}
+
+A la figura \ref{fig:finalconf} podem veure com les configuracions finals per simulacions de temperatures diferents ens descriuen el comportament que hem vist a classe sobre el model d'Ising (recordem que estem usant unitats reduïdes): per temperatures baixes el comportament és semblant al ferromagnètic (spins paral·lels), i per temperatures altes el comportament és més semblant al paramagnètic (spins aleatoris).
+
+També podem observar com la transició té lloc contínuament, sense una temperatura crítica que delimiti les dues fases, ja que estem treballant amb una $L$ finita, i la transició de fase discontínua només té lloc al límit termodinàmic $L \to \infty$.\cite[p.~10]{p4}
+
+\section{Comportament de les variables del sistema quan \texorpdfstring{$L = 32$}{L = 32}}
+
+Després d'executar la simulació per diferents valors de $T$ amb $L = 32$ ($N = 1024$), amb punts amb menys separació en regions on hem hagut de calcular certs valors, hem obtingut els següents resultats (la incertesa està dibuixada, però no es veu perquè és ordres de magnitud més petita que la longitud característica de les gràfiques):
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/energia_L32.tex}
+ \caption{Energia per partícula reduïda $\langle e \rangle$ en funció de la temperatura $T$ en el cas del sistema amb $L = 32$.}
+ \label{fig:energia32}
+\end{figure}
+
+A la figura \ref{fig:energia32}, l'energia per partícula reduïda l'hem calculat com:
+\[ \langle e \rangle := \frac{\langle E \rangle}{N} = \frac{\sum_{i \in I} E_i}{\# I \cdot N}, \]
+on $I$ representa el conjunt d'iteracions que hem usat per fer el promig, i $\# I$ és el seu cardinal.
+
+Notem que hi ha un punt d'inflexió al voltant del que serà la temperatura crítica i, com és d'esperar, veiem que tendeix a -2 quan $T \to 0$ i tendeix a 0 quan $T \to \infty$, d'acord amb la figura \ref{fig:dift}.\cite[p.~3]{p4}
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/magnetitzacio_L32.tex}
+ \caption{Magnetització per partícula reduïda $\langle m \rangle$ en funció de la temperatura $T$ en el cas del sistema amb $L = 32$.}
+ \label{fig:magne32}
+\end{figure}
+
+A la figura \ref{fig:magne32}, la magnetització per partícula reduïda (el paràmetre d'ordre) l'hem calculat de dues maneres:
+\[ \langle |m| \rangle := \frac{\langle |M| \rangle}{N} = \frac{\sum_{i \in I} |M_i|}{\# I \cdot N}, \]
+\[ \sqrt{\langle m^2 \rangle} := \frac{\sqrt{\langle M^2 \rangle}}{N} = \frac{1}{N}\sqrt{\frac{\sum_{i \in I} M_i^2}{\# I}}. \]
+
+Hem usat aquestes 2 magnituds i no $\langle m \rangle$ perquè per un sistema de mida finita aquesta darrera donaria sempre 0 degut a la simetria dels spins (en invertir $\uparrow$ i $\downarrow$ la física del sistema és la mateixa, però $m$ s'inverteix).
+
+De nou, observem que hi ha un punt d'inflexió al voltant del que serà la temperatura crítica, i que tendeix a 1 quan $T \to 0$ i tendeix a 0 quan $T \to \infty$ (de nou, d'acord amb la figura \ref{fig:dift}).\cite[p.~4]{p4}
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/capacitat_calorifica_L32.tex}
+ \caption{Capacitat calorífica reduïda $c_V$ en funció de la temperatura $T$ en el cas del sistema amb $L = 32$.}
+ \label{fig:cv32}
+\end{figure}
+
+En quant a la capacitat calorífica $c_V$, representada a la figura \ref{fig:cv32}, l'hem calculat de les dues maneres següents:\footnote{\label{fn:unitatsreduides}Recordem que estem treballant amb unitats reduïdes. És a dir, estem usant $\chi^* := \frac{\chi}{K_B}$ i $c_V^* := \frac{c_V}{K_B}$, i fem un abús de notació traient-li l'estrella.}
+\[ c_V = \frac{\langle E^2 \rangle - \langle E \rangle^2}{N T^2}, \]
+\[ c_V = \frac{d\langle e \rangle}{dT} \approx \frac{\langle e \rangle(T + h) - \langle e \rangle(T)}{h}. \]
+
+Veiem a la figura \ref{fig:cv32} que efectivament ambdues maneres coincideixen, verificant que la primera expressió és adequada per calcular-la. A més, observem que aquesta variable presenta el pic a prop del que serà la temperatura crítica. També veiem que sempre és positiva, tal com esperaríem donat que així ho imposen les condicions d'estabilitat.
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/susceptibilitat_magnetica_L32.tex}
+ \caption{Susceptibilitat magnètica reduïda $\chi$ en funció de la temperatura $T$ en el cas del sistema amb $L = 32$.}
+ \label{fig:smagn32}
+\end{figure}
+
+Finalment, la susceptibilitat magnètica a la figura \ref{fig:smagn32} s'ha calculat de la següent manera:
+\[ \chi := \frac{\langle M^2 \rangle - \langle |M| \rangle^2}{NT}. \]
+
+Com en el cas de la capacitat calorífica, tornem a observar un pic a prop de la futura temperatura crítica, i de nou torna a ser positiva en tot el rang com esperaríem per les condicions d'estabilitat.
+
+\section{Dependència amb \texorpdfstring{$L$}{L}}
+
+De cara a poder obtenir els comportaments crítics en el límit termodinàmic, hem d'estudiar les magnituds de la secció anterior per diferents valors d'$L$. Per aquest motiu, treballarem amb $L \in \{ 8, 16, 32, 64 \}$, i farem les simulacions amb els següents valors dels paràmetres: $\textsc{nSeeds} = 150$, $\textsc{mcTot} = 40000$.
+
+També hem executat la simulació amb $L = 96$, però amb valors dels paràmetres molt més petits per tal de reduir el temps d'execució ($\textsc{nSeeds} = 16$, $\textsc{mcTot} = 30000$), ja que el càlcul és massa lent amb els paràmetres originals en una màquina amb un Intel Core i5 de \SI{2.7}{\giga\hertz}. Per aquest motiu no inclourem aquestes dades en el càlcul de la temperatura crítica i exponents crítics (les gràfiques amb la $L = 96$ es poden veure a l'apèndix \ref{sec:l96graphs}).
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/energia.tex}
+ \caption{Energia per partícula reduïda $\langle e \rangle$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+ \label{fig:energia}
+\end{figure}
+
+Veiem a la figura \ref{fig:energia} que en augmentar la mida del sistema, el punt d'inflexió va pujant i movent-se cap a l'esquerra, i la segona derivada és més gran en valor absolut, tot i que fora d'aquest entorn (temperatures baixes o altes) totes les mides segueixen un comportament similar. Veiem que l'energia canvia més ràpidament just abans del punt d'inflexió en sistemes de mida més gran, ja que la derivada creix amb la mida.
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/magnetitzacio.tex}
+ \caption{Magnetització per partícula reduïda $\langle m \rangle$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+ \label{fig:magne}
+\end{figure}
+
+En quant a la magnetització, a la figura \ref{fig:magne} veiem un comportament similar al de l'energia. La magnetització decau més ràpidament en funció de la temperatura quan la mida és més gran, i per temperatures baixes el comportament és similar. En quant a temperatures altes, és de suposar que també convergeixen totes a temperatura 0, però a la gràfica no ho observem (faltaria augmentar el rang de temperatures). El punt d'inflexió també es va movent cap a l'esquerra per mides més grans.
+
+Aquests comportaments de l'energia i magnetització ens fan sospitar que al límit termodinàmic, aquestes dues magnituds presentaran una discontinuïtat a la temperatura crítica.
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/capacitat_calorifica.tex}
+ \caption{Capacitat calorífica reduïda $c_V$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+ \label{fig:cv}
+\end{figure}
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/susceptibilitat_magnetica.tex}
+ \caption{Susceptibilitat magnètica reduïda $\chi$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+ \label{fig:smagn}
+\end{figure}
+
+El pic de la capacitat calorífica (figura \ref{fig:cv}) i el de la susceptibilitat magnètica (figura \ref{fig:smagn}) es van movent cap a l'esquerra i van augmentant quan augmentem $L$. Han de créixer perquè al límit termodinàmic tindrem una divergència d'ambdues magnituds a la temperatura crítica, que és el que volem estudiar.
+
+Un comentari sobre aquestes figures és que hi ha un comportament erràtic a temperatures baixes per $L = 64$ (també s'observa a les figures de l'apèndix \ref{sec:l96graphs} per $L = 96$). Això és normal segons el guió de pràctiques, i pot ser degut al fet que fa falta executar la simulació amb un nombre més alt d'iteracions.\cite[p.~5-6]{p4}
+
+\section{Comportament crític}
+
+\begin{table}[h!]
+ \centering
+ \pgfplotstabletypeset[
+ columns={0, 1, 3},
+ columns/0/.style={column name=$L$, fixed, fixed zerofill, precision=0},
+ columns/1/.style={column name=$(T_c)_{c_V} \; (\pm 0.005)$, fixed, fixed zerofill, precision=3},
+ columns/3/.style={column name=$(T_c)_\chi \; (\pm 0.005)$, fixed, fixed zerofill, precision=3},
+ ]{data/tc.dat}
+ \caption{Temperatures crítiques per les diferents $L$. S'han près com a valors les temperatures en què les gràfiques de $c_V$ i $\chi$ respectivament assoleixen el màxim.}
+ \label{tab:tc}
+\end{table}
+
+A partir dels pics de la capacitat calorífica i la susceptibilitat magnètica per diferents mides del sistema (taula $\ref{tab:tc}$), podem extrapolar el valor de la temperatura crítica al límit termodinàmic.
+
+Donat que pel model d'Ising 2D $\nu = 1$,\cite{lajko2000correlation} el comportament dels pics $T_c$ respecte la variable $1/L$ és lineal.\cite[p.~13]{p4} Per tant, fent una regressió lineal dels punts per les temperatures crítiques obtingudes de les dues magnituds per separat i extrapolant pel cas $1/L = 0$ (és a dir $L \to \infty$), obtindrem 2 estimacions de la temperatura crítica.
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/tc.tex}
+ \caption{Regressió lineal de les dades de la taula \ref{tab:tc}.}
+ \label{fig:tc}
+\end{figure}
+
+Els valors obtinguts degut a les dues regressions són, corresponentment:
+\[ \begin{cases}
+ {T_c}_{c_V} = \SI{2.264(5)}{}, \\
+ {T_c}_\chi = \SI{2.271(5)}{}.
+\end{cases} \]
+Observem que $|{T_c}_\chi - {T_c}_{c_V}| = \SI{0.01(1)}{}$ i, per tant, els dos valors són compatibles. Prendrem com a estimació de la temperatura crítica la mitjana de tots 2 valors:
+\[ \boxed{T_c = \SI{2.268(6)}{}}. \]
+
+Aquest valor a més és compatible amb el valor teòric que podem trobar a la literatura: $T_c^\text{lit} = \frac{2}{\log(1 + \sqrt{2})} \approx 2.269$.\cite[p.~9]{p4}\cite{expising2d}
+
+Per acabar d'analitzar el comportament crític, obtindrem els valors dels exponents crítics.
+
+\subsection{Exponent \texorpdfstring{$\nu$}{nu}}
+
+Donat que ja hem usat el fet que $\nu = 1$, aquest apartat realment hauria de fer-nos verificar que en el nostre sistema $\nu$ és compatible amb aquest valor.
+
+L'exponent crític $\nu$ és tal que la longitud de correlació és $\xi \propto |T - T_c|^{- \nu}$. Donat que els pics de les figures \ref{fig:cv} i \ref{fig:smagn} corresponen als casos en què la longitud de correlació és $\chi_L \approx L$,\cite[p.~10]{p4}, tindrem la relació
+\begin{equation}
+ L \approx \xi_L = \tilde{C} |(T_c)_L - T_c|^{- \nu},
+ \label{eq:nurelation}
+\end{equation}
+on $(T_c)_L$ és la temperatura crítica pel sistema finit de mida $L$ i $\tilde{C}$ és una constant. Desenvolupant l'expressió obtenim:
+\[ \log((T_c)_L - T_c) = C - \frac{1}{\nu} \log(L), \]
+on $C$ és una constant.
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/nu.tex}
+ \caption{Regressió lineal per calcular la $\nu$, utilitzant les dades de la taula \ref{tab:tc}.}
+ \label{fig:nu}
+\end{figure}
+
+Després de fer una regressió lineal de les dades, com hem representat a la figura \ref{fig:nu}, obtenim els següents valors de la pendent de les rectes de regressió:
+\[ \begin{cases}
+ - \frac{1}{\nu_{c_V}} = \SI{-0.84(11)}{}, \\
+ - \frac{1}{\nu_\chi} = \SI{-1.01(2)}{},
+\end{cases} \]
+que donen:
+\[ \begin{cases}
+ \nu_{c_V} = \SI{1.19(16)}{}, \\
+ \nu_\chi = \SI{0.99(2)}{}
+\end{cases} \]
+
+Ambdós valors són compatibles amb el valor de la literatura $\nu = 1$ (prenent 2 sigmes), així que hem verificat que la temperatura crítica és consistent.
+
+\subsection{Exponent \texorpdfstring{$\alpha$}{alfa}}
+
+Donat que $c_V \propto |T - T_c|^{-\alpha}$, utilitzant \eqref{eq:nurelation} obtenim:
+\[ c_V^\text{c} \equiv c_V((T_c)_{c_V}) = \tilde{C} L^\frac{\alpha}{\nu}. \]
+
+Avaluant $\nu = 1$ a l'expressió i fent una mica d'àlgebra, obtenim aquesta expressió amb què fer una regressió lineal:
+\[ \log(c_V^\text{c}) = C + \alpha \log(L). \]
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/alpha.tex}
+ \caption{Regressió lineal per calcular l'$\alpha$, utilitzant les dades de la taula \ref{tab:tc}.}
+ \label{fig:alpha}
+\end{figure}
+
+La regressió lineal ens dona el següent valor de l'exponent crític:
+\[ \boxed{\alpha = \SI{0.30(3)}{}}. \]
+
+Observem que aquest valor no és compatible amb el valor de la literatura de l'exponent crític $\alpha_\text{lit} = 0$.\cite[p.~9]{p4}\cite{expising2d}
+
+\subsection{Exponent \texorpdfstring{$\gamma$}{gamma}}
+
+Com $\chi \propto |T - T_c|^{- \gamma}$, fent la mateixa deducció que per l'exponent $\alpha$ (però ara utilitzant $\chi$ en comptes de $c_V$ i $\gamma$ en comptes de $\alpha$), obtenim la següent expressió amb què podem fer una regressió per obtenir el valor de $\gamma$:
+\[ \chi^\text{c} = C + \gamma \log(L). \]
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/gamma.tex}
+ \caption{Regressió lineal per calcular la $\gamma$, utilitzant les dades de la taula \ref{tab:tc}.}
+ \label{fig:gamma}
+\end{figure}
+
+A partir de la regressió obtenim el següent valor:
+\[ \boxed{\gamma = \SI{1.77(3)}{}}. \]
+
+L'exponent de la literatura és $\gamma_\text{lit} = 1.75$, que està dins del rang d'incertesa del nostre valor i, per tant, són compatibles.\cite[p.~9]{p4}\cite{expising2d}
+
+\subsection{Exponent \texorpdfstring{$\beta$}{beta}}
+
+L'exponent $\beta$ és tal que $|m| \propto |T_c - T|^\beta$. De nou usant \eqref{eq:nurelation}, $\nu = 1$ obtenim $|m((T_c)_L)| = \tilde{C}L^{- \frac{\beta}{\nu}}$.
+
+De nou, fem dues regressions amb la següent expressió derivada de l'anterior:
+\[ \log(|m^\text{c}|) \equiv \log(|m(T_c)_L|) = C - \frac{\beta}{\nu} \log(L). \]
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/beta.tex}
+ \caption{Regressió lineal per calcular la $\beta$, utilitzant les dades de la taula \ref{tab:tc}.}
+ \label{fig:beta}
+\end{figure}
+
+Obtenim els següents valors:
+\[ \begin{cases}
+ \beta_{c_V} = \SI{0.14(2)}{}, \\
+ \beta_\chi = \SI{0.13(2)}{}.
+\end{cases} \]
+
+El valor de la literatura de l'exponent és $\beta_\text{lit} = 0.125$, així que ambdós estimacions són compatibles perquè $\beta_\text{lit}$ està dins dels dos intervals de confiança.\cite[p.~9]{p4}\cite{expising2d}
+
+Prenem com a estimació final el promig:
+\[ \boxed{\beta = \SI{0.13(2)}{}}. \]
+
+\subsection{Exponent \texorpdfstring{$\delta$}{delta}}
+
+Per calcular el coeficient $\delta$ (que és tal que $m \propto |H - H_c|^{1/\delta}$), donat que hem considerat $H = 0$ durant tota la pràctica, hem de calcular-lo mitjançant una de les relacions d'escala:
+\[ 2\beta + \gamma = \beta(\delta + 1) \implies \delta = 1 + \frac{\gamma}{\beta}. \]
+Mitjançant aquesta relació d'escala, obtenim:
+\[ \boxed{\delta = \SI{15(2)}{}}, \]
+que és compatible amb el valor de la literatura $\delta_\text{lit} = 15$.\cite[p.~9]{p4}\cite{expising2d}
+
+\section{\textit{Finite Size Scaling}}
+
+Jae-Kwon Kim al seu article \textit{Application of finite size scaling to Monte Carlo simulations} introdueix una tècnica per corregir els efectes de mida finita.\cite{finitesizescaling} Citant textualment el guió de pràctiques, la hipòtesi sobre la qual es fonamenta aquesta tècnica és la següent:\cite[p.~17]{p4}
+
+\begin{displayquote}
+ Una propietat termodinàmica $P$ que divergeixi en el punt crític com $P_\infty(t) \sim t^{- \rho}$, pels sistemes finits serà analítica i es comporta com:
+ \[ \frac{P_L(t)}{P_\infty(t)} = f_P\left( \frac{L}{\xi_\infty(t)} \right), \]
+ on $t = \frac{T - T_c}{T_c}$. [...]
+
+ Per tant:
+ \begin{equation}\label{eq:fss1} \langle |m| \rangle_L \propto L^{- \frac{\beta}{\nu}} \Psi\left(t L^{\frac{1}{\nu}}\right), \end{equation}
+ \begin{equation}\label{eq:fss2} \chi_L \propto L^{\frac{\gamma}{\nu}} \Psi\left(t L^{\frac{1}{\nu}}\right). \end{equation}
+\end{displayquote}
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/magnetitzacio_fss.tex}
+ \caption{Representació gràfica de les dades per verificar l'expressió \eqref{eq:fss1}.}
+ \label{fig:mFss}
+\end{figure}
+
+\begin{figure}[h!]
+ \centering
+ \input{graphs/susceptibilitat_magnetica_fss.tex}
+ \caption{Representació gràfica de les dades per verificar l'expressió \eqref{eq:fss2}.}
+ \label{fig:chiFss}
+\end{figure}
+
+Podem confirmar que els resultats anteriors predits per la hipòtesi es compleixen degut al fet que a les figures \ref{fig:mFss} i \ref{fig:chiFss} totes les gràfiques per $L$ diferents coincideixen en la mateixa funció $\Psi$.
+
+\section{Conclusions}
+
+Hem pogut comprovar que l'algoritme de Metropolis és una bona manera de simular el model d'Ising 2D, degut al fet que hem pogut analitzar que la simulació es comporta com marca la teoria, en quant a l'evolució temporal i les configuracions finals.
+
+A més, hem pogut extrapolar al límit termodinàmic per obtenir la temperatura crítica i els exponents crítics d'acord amb els valors de la literatura, exceptuant l'exponent $\alpha$, que no és compatible amb el valor de la literatura. I també hem pogut validar la hipòtesi del \textit{Finite Size Scaling} en el nostre model.
+
+\begin{table}[h!]
+ \centering
+ \begin{tabular}{c|cc}
+ & Valor calculat & Valor de la literatura \\
+ \hline
+ $T_c$ & $\SI{2.268(6)}{}$ & $\frac{2}{\log(1 + \sqrt{2})} \approx 2.269$ \\
+ $\alpha$ & $\SI{0.30(3)}{}$ & 0 \\
+ $\beta$ & $\SI{0.13(2)}{}$ & 0.125 \\
+ $\gamma$ & $\SI{1.77(3)}{}$ & 1.75 \\
+ $\nu$ & \SI{0.99(2)}{} & 1 \\
+ $\delta$ & $\SI{15(2)}{}$ & 15 \\
+ \end{tabular}
+ \caption{Resum dels coeficients calculats i els de la literatura.\cite[p.~9]{p4}\cite{expising2d}}
+ \label{tab:expcrit}
+\end{table}
+
+Per altra banda, a temperatures baixes hem observat comportament erràtics en la magnetització (figura \ref{fig:magne}), capacitat calorífica (figura \ref{fig:cv}) i susceptibilitat magnètica (figura \ref{fig:smagn}) per $L$ grans, i hem obtingut algunes incerteses una mica grans durant el desenvolupament.
+
+De cara a millorar això i la discrepància en l'exponent $\alpha$, seria útil provar d'augmentar el nombre d'iteracions i de llavors inicials. Tot i així, això no ens garanteix una millora, perquè pot ser que els errors de la màquina deguts a la precisió finita prevalguin.
+
+\appendix
+
+\clearpage
+
+\section{\texorpdfstring{Gràfiques de la dependència amb $L$ incloent $L = 96$}{Gràfiques de la dependència amb L incloent L = 96}}\label{sec:l96graphs}
+
+\begin{center}
+ \centering
+ \input{graphs/energia_ALLL.tex}
+ \captionof{figure}{Energia per partícula reduïda $\langle e \rangle$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+\end{center}
+
+\begin{center}
+ \centering
+ \input{graphs/magnetitzacio_ALLL.tex}
+ \captionof{figure}{Magnetització per partícula reduïda $\langle m \rangle$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+\end{center}
+
+\begin{center}
+ \centering
+ \input{graphs/capacitat_calorifica_ALLL.tex}
+ \captionof{figure}{Capacitat calorífica reduïda $c_V$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+\end{center}
+
+\begin{center}
+ \centering
+ \input{graphs/susceptibilitat_magnetica_ALLL.tex}
+ \captionof{figure}{Susceptibilitat magnètica reduïda $\chi$ en funció de la temperatura $T$ per sistemes de diferent $L$.}
+\end{center}
+
+\clearpage
+
+\onecolumn
+
+\section{Comentari sobre algunes otimitzacions realitzades i el codi}
+
+De cara a millorar el rendiment de la simulació, s'han realitzat dues optimitzacions:
+
+\begin{enumerate}
+ \item La primera d'elles és que la magnetització no es recalcula a cada iteració, sinó que es va actualitzant que s'accepta un canvi d'spin, d'una manera similar al que ja fem es fa amb l'energia, Això es fa sumant 2 vegades el nou valor de l'spin canviat.
+ \item La segona optimització consisteix en executar diverses simulacions paral·lelament en diferents nuclis de la CPU. D'aquesta manera, s'ha pogut millorar el temps de simulació tot i la lentitud de l'ordinador en què s'ha executat. Això s'ha realitzat amb un programa anomenat GNU Parallel que gestiona les tasques i les executa simultàniament.\cite{parallel}
+\end{enumerate}
+
+Finalment, el codi adjunt no és un únic fitxer Fortran, ja que he usat scripts auxiliars per interaccionar amb el programa principal \texttt{mc-2}. Això m'ha permès treballar més eficientment. A més, el fitxer principal \texttt{MC-2.f90} depèn en diversos fitxers Fortran. Això s'ha fet per distribuir el codi d'una manera que sigui més llegible.
+
+El codi íntegre, i el codi font d'aquest informe, també estan disponibles a la següent adreça (està penjat a un servidor Git): \url{https://iavm.xyz/lab-fenomens}.
+
+\printbibliography
+
+\end{document}
diff --git a/quad10/fenomens/lab/informe/preamble.tex b/quad10/fenomens/lab/informe/preamble.tex
new file mode 100644
index 0000000..b39c48d
--- /dev/null
+++ b/quad10/fenomens/lab/informe/preamble.tex
@@ -0,0 +1,79 @@
+% !TEX root = main.tex
+\usepackage[utf8]{inputenc}
+\usepackage[catalan]{babel}
+\usepackage{fancyhdr}
+\usepackage{graphicx}
+\usepackage[labelfont=bf, font=small]{caption}
+\usepackage{siunitx}
+\usepackage{geometry}
+\geometry{
+ margin=20mm,
+ heightrounded
+}
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{booktabs}
+\usepackage{chemformula}
+\usepackage{hyperref}
+\usepackage[style=english]{csquotes}
+\usepackage{biblatex}
+\usepackage{pgfplotstable}
+\usepackage{adjustbox}
+\usepackage{array}
+\usepackage{float}
+\usepackage{stackengine}
+\usepackage{titling}
+\usepackage{algpseudocode}
+\usepackage{xcolor}
+
+\newcolumntype{L}[1]{>{\raggedright\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
+\newcolumntype{C}[1]{>{\centering\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
+\newcolumntype{R}[1]{>{\raggedleft\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
+
+\pgfplotsset{compat=1.16}
+\pgfplotstableset{
+ empty cells with={--}, % replace empty cells with ’--’
+ every head row/.style={before row=\toprule,after row=\midrule},
+ every last row/.style={after row=\bottomrule},
+ set thousands separator={\,}%,
+}
+\sisetup{separate-uncertainty=true}
+\setlength{\parskip}{1em}
+\pagestyle{fancy}
+\fancyhf{}
+
+% Plantilles del notate
+\def\myupbracefill#1{\rotatebox{90}{\stretchto{\{}{#1}}}
+\def\rlwd{.5pt}
+\newcommand\notate[4][B]{%
+ \if B#1\else\def\myupbracefill##1{}\fi%
+ \def\useanchorwidth{T}%
+ \setbox0=\hbox{$\displaystyle#2$}%
+ \def\stackalignment{c}\stackunder[-6pt]{%
+ \def\stackalignment{c}\stackunder[-1.5pt]{%
+ \stackunder[2pt]{\strut $\displaystyle#2$}{\myupbracefill{\wd0}}}{%
+ \rule{\rlwd}{#3\baselineskip}}}{%
+ \strut\kern9pt$\rightarrow$\smash{\rlap{$~#4$}}}%
+}
+\newcommand\lnotate[4][B]{%
+ \if B#1\else\def\myupbracefill##1{}\fi%
+ \def\useanchorwidth{T}%
+ \setbox0=\hbox{$\displaystyle#2$}%
+ \def\stackalignment{c}\stackunder[-6pt]{%
+ \def\stackalignment{c}\stackunder[-1.5pt]{%
+ \stackunder[2pt]{\strut $\displaystyle#2$}{\myupbracefill{\wd0}}}{%
+ \rule{\rlwd}{#3\baselineskip}}}{%
+ \strut\kern-9pt$\leftarrow$\smash{\llap{$~#4\quad\;\,$}}}%
+}
+
+\newcommand{\Ham}{\mathcal{H}}
+
+\definecolor{CommentGray}{gray}{0.5}
+\algrenewcommand\algorithmiccomment[1]{{\color{CommentGray} \hfill\(\triangleright\) #1}}%
+
+% To prevent underfull/overfull messages in bibliography
+\usepackage{etoolbox}
+\apptocmd{\sloppy}{\hbadness 10000\relax}{}{}
+
+\usepackage{enumitem}
+\setlist{nolistsep}
diff --git a/quad10/fenomens/lab/informe/references.bib b/quad10/fenomens/lab/informe/references.bib
new file mode 100644
index 0000000..960c195
--- /dev/null
+++ b/quad10/fenomens/lab/informe/references.bib
@@ -0,0 +1,112 @@
+@article{metropolis,
+ author = {Metropolis,Nicholas and Rosenbluth,Arianna W. and Rosenbluth,Marshall N. and Teller,Augusta H. and Teller,Edward },
+ title = {Equation of State Calculations by Fast Computing Machines},
+ journal = {The Journal of Chemical Physics},
+ volume = {21},
+ number = {6},
+ pages = {1087-1092},
+ year = {1953},
+ URL = {https://doi.org/10.1063/1.1699114},
+}
+
+@misc{presentacio,
+ title={Mètodes de simulació en Física Estadística},
+ author={Vives, Eduard},
+ howpublished="\url{https://campusvirtual.ub.edu/pluginfile.php/4289845/mod_resource/content/16/master.pdf}",
+ year={2022},
+ month={Apr}
+}
+
+@misc{p3,
+ title={Pràctica 3. Simulació MC del model d'Ising 2d: evolució temporal i promitjos},
+ author={Vives, Eduard},
+ howpublished="\url{https://campusvirtual.ub.edu/pluginfile.php/4289857/mod_resource/content/12/Practica3.pdf}",
+ year={2022},
+ month={Apr}
+}
+
+@misc{p4,
+ title={Pràctica 4. Promitjos en funció de T. Dependència amb L. Extrapolació a \texorpdfstring{$T \to \infty$}{T infinita}.},
+ author={Vives, Eduard},
+ howpublished="\url{https://campusvirtual.ub.edu/pluginfile.php/4289861/mod_resource/content/16/Practica4.pdf}",
+ year={2022},
+ month={Apr}
+}
+
+@article{mt19937,
+ author = {Matsumoto, Makoto and Nishimura, Takuji},
+ title = {Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator},
+ year = {1998},
+ issue_date = {Jan. 1998},
+ publisher = {Association for Computing Machinery},
+ address = {New York, NY, USA},
+ volume = {8},
+ number = {1},
+ issn = {1049-3301},
+ url = {https://doi.org/10.1145/272991.272995},
+ abstract = {A new algorithm called Mersenne Twister (MT) is proposed for generating uniform pseudorandom numbers. For a particular choice of parameters, the algorithm provides a super astronomical period of 219937 −1 and 623-dimensional equidistribution up to 32-bit accuracy, while using a working area of only 624 words. This is a new variant of the previously proposed generators, TGFSR, modified so as to admit a Mersenne-prime period. The characteristic polynomial has many terms. The distribution up to v bits accuracy for 1 ≤ v ≤ 32 is also shown to be good. An algorithm is also given that checks the primitivity of the characteristic polynomial of MT with computational complexity O(p2) where p is the degree of the polynomial.We implemented this generator in portable C-code. It passed several stringent statistical tests, including diehard. Its speed is comparable to other modern generators. Its merits are due to the efficient algorithms that are unique to polynomial calculations over the two-element field.},
+ journal = {ACM Trans. Model. Comput. Simul.},
+ month = {jan},
+ pages = {3–30},
+ numpages = {28},
+ keywords = {tempering, TGFSR, random number generation, GFSR, m-sequences, inversive-decimation method, incomplete array, Mersenne primes, Mersenne twister, MT19937, primitive polynomials, multiple-recursive matrix method, k-distribution, finite fields}
+}
+
+@misc{mt19937Fortran,
+ title={mt19937ar.f},
+ author={Tada, Tsuyoshi},
+ howpublished="\url{https://www.nda.ac.jp/cc/users/tada/soft/MT/mt19937ar.f}",
+ year={2005},
+ month={Dec}
+}
+
+@article{lajko2000correlation,
+ title={Correlation-length--exponent relation for the two-dimensional random Ising model},
+ author={Lajk{\'o}, P{\'e}ter and Igl{\'o}i, Ferenc},
+ journal={Physical Review E},
+ volume={61},
+ number={1},
+ pages={147},
+ year={2000},
+ publisher={APS},
+ doi = {10.1103/PhysRevE.61.147},
+}
+
+@article{expising2d,
+ url = {https://doi.org/10.1088/0143-0807/37/6/065103},
+ year = {2016},
+ month = {sep},
+ publisher = {{IOP} Publishing},
+ volume = {37},
+ number = {6},
+ pages = {065103},
+ author = {Eduardo Ibarra-García-Padilla and Carlos Gerardo Malanche-Flores and Freddy Jackson Poveda-Cuevas},
+ title = {The hobbyhorse of magnetic systems: the Ising model},
+ journal = {European Journal of Physics}
+}
+
+@article{finitesizescaling,
+ title = {Application of finite size scaling to Monte Carlo simulations},
+ author = {Kim, Jae-Kwon},
+ journal = {Phys. Rev. Lett.},
+ volume = {70},
+ issue = {12},
+ pages = {1735--1738},
+ numpages = {0},
+ year = {1993},
+ month = {Mar},
+ publisher = {American Physical Society},
+ doi = {10.1103/PhysRevLett.70.1735},
+}
+
+@software{parallel,
+ author = {Tange, Ole},
+ title = {GNU Parallel 20220522 ('NATO')},
+ month = May,
+ year = 2022,
+ note = {{GNU Parallel is a general parallelizer to run
+ multiple serial command line programs in parallel
+ without changing them.}},
+ publisher = {Zenodo},
+ doi = {10.5281/zenodo.6570228},
+}
diff --git a/quad10/fenomens/lab/p3/Makefile b/quad10/fenomens/lab/p3/Makefile
index 64bd220..d8a0c80 100644
--- a/quad10/fenomens/lab/p3/Makefile
+++ b/quad10/fenomens/lab/p3/Makefile
@@ -10,7 +10,7 @@
gfortran -c MC-2.f90
gfortran MC-2.o writeconfigseed.o mt19937ar.o magne.o energ.o str.o -o out/mc2
mt19937ar.o: mt19937ar.f
- f77 -c mt19937ar.f
+ gfortran -c mt19937ar.f
writeconfig.o: writeconfig.f90
gfortran -c writeconfig.f90
writeconfigseed.o: writeconfigseed.f90
diff --git a/quad10/fenomens/lab/p3/graphs/different_temp.gnu b/quad10/fenomens/lab/p3/graphs/different_temp.gnu
index 246cc97..78fa35d 100755
--- a/quad10/fenomens/lab/p3/graphs/different_temp.gnu
+++ b/quad10/fenomens/lab/p3/graphs/different_temp.gnu
@@ -1,17 +1,31 @@
#!/usr/bin/env -S gnuplot -c
-outputfile = 'out_data/diferent_t' # Nom de la imatge resultant (sense extensió)
-datafilepre = 'out_data/SIM-L-32-TEMP-'
+outputfile = 'diferent_t' # Nom de la imatge resultant (sense extensió)
+datafilepre = 'SIM-L-32-TEMP-'
datafilepost = '-MCTOT-10000.out'
L=32
TEMPS="1500 1800 2500 3500 4500"
-set terminal svg dashed size 600, 1200 font "Computer Modern,Tinos,Helvetica,15"
-set output outputfile.'.svg'
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 11cm
+ set output outputfile.'.tex'
+ } else {
+ set terminal svg dashed size 600, 1200 font "Computer Modern,Tinos,Helvetica,15"
+ set output outputfile.'.svg'
+ }
-set key outside top horizontal
-set multiplot layout 2,1
+ set multiplot layout 2,1
+ set key outside top horizontal
-set title "Energia"
-plot for [T in TEMPS] datafilepre . T . datafilepost using 1:($2/(L*L)) with lines title "T = ".T." mK"
-set title "Magnetització"
-plot for [T in TEMPS] datafilepre . T . datafilepost using 1:($3/(L*L)) with lines title "T = ".T." mK"
+ set xlabel "Iteracions MC"
+ set ylabel '$\langle e \rangle$'
+ set yrange [-2:0]
+ plot for [T in TEMPS] datafilepre . T . datafilepost using 1:($2/(L*L)) with lines title sprintf("T = %.1f", (T+0.0)/1000)
+
+ set xlabel "Iteracions MC"
+ set ylabel '$\langle m \rangle$'
+ set yrange [-1:1]
+ plot for [T in TEMPS] datafilepre . T . datafilepost using 1:($3/(L*L)) with lines title sprintf("T = %.1f", (T+0.0)/1000)
+
+ unset multiplot
+}
diff --git a/quad10/fenomens/lab/p3/mc-1.sh b/quad10/fenomens/lab/p3/mc-1.sh
index bbfc02c..173438e 100644
--- a/quad10/fenomens/lab/p3/mc-1.sh
+++ b/quad10/fenomens/lab/p3/mc-1.sh
@@ -8,4 +8,4 @@
echo
done
-./graphs/different_temp.gnu
+(cd out_data; ../graphs/different_temp.gnu)
diff --git a/quad10/fenomens/lab/p4/MC-2.f90 b/quad10/fenomens/lab/p4/MC-2.f90
index 554890d..ccc2941 100644
--- a/quad10/fenomens/lab/p4/MC-2.f90
+++ b/quad10/fenomens/lab/p4/MC-2.f90
@@ -7,19 +7,25 @@
integer*4 :: I, J, IMC, MCTOT, MCINI, MCD, IPAS, N, SEED, NSEED, SEED0, pbc
integer :: genrand_int31
character(100) :: NOM
- logical :: SAVEFINALCONF
+ logical :: SAVEFINALCONF, SAVEEVOLUTION
integer :: SUMI
- real(dp) :: SUME, SUME2, SUMM, SUMAM, SUMM2, VARE, VARM, CV, CHI
+ real(dp) :: SUME, SUME2, SUMM, SUMAM, SUMM2, VARE_TIMES_SUMI, VARM_TIMES_SUMI, CV, CHI
- ! This should be replaced by L but it doesn't work dynamically, so we're
- ! setting 64 as the upper limit which should be higher than L.
- integer*2 :: S(1:64, 1:64)
+ ! Donat que les matrius a Fortran han de tenir una mida fixada i no poden
+ ! dependre dinàmicament d'un paràmetre L, fem S de mida 128x128, i establim
+ ! 128 com el valor màxim de L.
+ integer*2 :: S(1:128, 1:128)
- ! Inicialitzem algunes variables sobre el problema
- namelist /DADES/ L, NOM, TEMP, NSEED, SEED0, MCTOT, MCINI, MCD, SAVEFINALCONF
+ ! Inicialitzem algunes variables sobre el problema, que es passen al programa amb un namelist
+ namelist /DADES/ L, NOM, TEMP, NSEED, SEED0, MCTOT, MCINI, MCD, SAVEFINALCONF, SAVEEVOLUTION
read(nml = DADES, unit = 5)
+ if (L < 1 .or. L > 128) then
+ print *, "ERROR: L ha de ser un enter entre 1 i 128."
+ stop
+ endif
+
N = L*L
! Cache dels valors de l'exponencial
@@ -27,6 +33,7 @@
W(I) = (2**30 - 1 + 2**30)*exp(-float(I)/TEMP)
enddo
+ ! Variables on anirem sumant les magnituds per fer el promig posteriorment
SUMI = 0
SUME = 0
SUME2 = 0
@@ -35,6 +42,12 @@
SUMAM = 0
SUMM2 = 0
+ ! Si s'ha especificat de guardar l'evolució temporal, obrim el fitxer on la guardarem
+ if (SAVEEVOLUTION) then
+ open(12, file = "data_out/" // trim(NOM) // ".ev")
+ endif
+
+ ! Fem la simulació per NSEED seeds inicials.
do SEED = SEED0, SEED0 + NSEED - 1
print *, "Seed: ", SEED
@@ -43,11 +56,13 @@
E = energ(S, L)
M = magne(S, L)
+ if (SAVEEVOLUTION) then
+ write (12, *) "0", E, M
+ endif
! Iterem amb el mètode de Montecarlo
do IMC = 1, MCTOT
do IPAS = 1, N
- ! LOS LOOPS HACEN COSAS
I = mod(genrand_int31(), L) + 1
J = mod(genrand_int31(), L) + 1
SUMA = S(PBC(I - 1, L), J) + &
@@ -59,7 +74,7 @@
if (DIFE > 0) then
DELTA = genrand_int31()
if (DELTA >= W(int(DIFE))) then
- ! NO ho acceptem
+ ! NO ho acceptem, passem a la següent volta del loop
cycle
endif
endif
@@ -70,6 +85,12 @@
M = M + 2*S(I, J)
enddo
+ if (SAVEEVOLUTION) then
+ write (12, *) IMC, E, M
+ endif
+
+ ! Per evitar les correlacions de configuracions consecutives, només
+ ! prenem mesures cada MCD configuracions.
if (IMC > MCINI .and. mod(IMC, MCD) == 0) then
SUMI = SUMI + 1
@@ -89,15 +110,15 @@
SUMM = SUMM/SUMI
SUMAM = SUMAM/SUMI
SUMM2 = SUMM2/SUMI
- VARE = SUME2 - SUME**2
- VARM = SUMM2 - SUMM**2
+ VARE_TIMES_SUMI = SUME2 - SUME**2
+ VARM_TIMES_SUMI = SUMM2 - SUMM**2
CV = (SUME2 - SUME**2)/real(N*TEMP**2)
CHI = (SUMM2 - SUMAM**2)/real(N*TEMP)
- ! Guardem a un fiter els promitjos
+ ! Guardem a un fitxer els promitjos
open(unit = 13, file = "data_out/" // trim(NOM) // ".res")
- ! Valors: L, T, <E>, <E**2>, Var(E), <M>, <|M|>, <M**2>, Var(M), C_V, CHI
- write(13, *) L, TEMP, SUME, SUME2, VARE, SUMM, SUMAM, SUMM2, VARM, CV, CHI
+ ! Valors: L, T, <E>, <E**2>, Var(E)*SUMI, <M>, <|M|>, <M**2>, Var(M)*SUMI, C_V, CHI
+ write(13, *) L, TEMP, SUME, SUME2, VARE_TIMES_SUMI, SUMM, SUMAM, SUMM2, VARM_TIMES_SUMI, CV, CHI
if (SAVEFINALCONF) then
call writeConfig(S, L, "data_out/" // trim(NOM) // ".conf")
@@ -105,4 +126,7 @@
! Tanquem els fitxers de sortida
close(13)
+ if (SAVEEVOLUTION) then
+ close(12)
+ endif
endprogram main
diff --git a/quad10/fenomens/lab/p4/Makefile b/quad10/fenomens/lab/p4/Makefile
index 21e5cbf..9c7b58a 100644
--- a/quad10/fenomens/lab/p4/Makefile
+++ b/quad10/fenomens/lab/p4/Makefile
@@ -2,9 +2,11 @@
FC=gfortran
FC_FLAGS=-O3 -Wall #-g -fbacktrace -fcheck=all
-all: MC-2.o
+all: MC-2.o out/cv_via_derivative
make_out_folder:
mkdir -p out data_out
+out/cv_via_derivative: cv_via_derivative.cc
+ g++ cv_via_derivative.cc -Wall -o out/cv_via_derivative
MC-2.o: make_out_folder mt19937ar.o generateSpinMatrix.o magne.o energ.o pbc.o writeconfig.o MC-2.f90
$(FC) $(FC_FLAGS) -c MC-2.f90
$(FC) $(FC_FLAGS) MC-2.o generateSpinMatrix.o mt19937ar.o magne.o energ.o pbc.o writeconfig.o -o out/mc2
diff --git a/quad10/fenomens/lab/p4/README.md b/quad10/fenomens/lab/p4/README.md
index 421cd3f..47b0ec3 100644
--- a/quad10/fenomens/lab/p4/README.md
+++ b/quad10/fenomens/lab/p4/README.md
@@ -2,8 +2,21 @@
**Data: 12 de maig de 2022**
## Instruccions per compilar
-Per compilar, executeu `make all`. Els executables es trobaran a la carpeta `out`.
+Per compilar, executeu `make all`. L'executable de la simulació es trobarà a la carpeta `out`, tot i que no s'hauria de cridar aquest executable directament.
## Programes
-- `run.bash`: executa la simulació per un valor de T i L concrets. Per més informació, executeu `./run.bash --help`.
+*** note
+**Atenció!** Per poder executar aquests programes, s'ha d'haver compilat abans l'executable del codi Fortran com s'especifica a la secció anterior.
+***
+
+Per tal d'executar la simulació, existeixen diversos scripts de bash que es poden cridar:
+- `run.bash`: executa la simulació per un valor de T i L concrets, amb un munt de valors addicionals configurables (nombre de llavors, nombre d'iteracions, etc.). Per més informació, executeu `./run.bash --help`.
- `runAll.bash`: executa les simulacions per diferents valors de T i L, i guarda les dades finals a la carpeta `data_out/dep_en_L`.
+
+També existeixen diversos scipts per tal de generar algunes gràfiques (altes gràfiques es generen directament amb scripts que hi ha a la [carpeta de l'informe](../informe/)):
+- `drawDepEnLGraphs.bash`: dibuixa les gràfiques de la dependència de certes variables amb la temperatura per diferents Ls.
+ - Precondició: haver executat `runAll.bash` abans, tot i que sigui parcialment.
+- `drawFinalConfsGraph.bash`: dibuixa un diagrama amb les configuracions finals per diferents valors de T.
+ - No té cap precondició.
+- `drawDepEnSeedGraph.bash`: dibuixa un gràfic que mostra la dependència de l'energia i la magnetització amb l'elecció de la seed inicial.
+ - No té cap precondició.
diff --git a/quad10/fenomens/lab/p4/cv_via_derivative.cc b/quad10/fenomens/lab/p4/cv_via_derivative.cc
new file mode 100644
index 0000000..c5308a2
--- /dev/null
+++ b/quad10/fenomens/lab/p4/cv_via_derivative.cc
@@ -0,0 +1,29 @@
+#include <iostream>
+#include <vector>
+using namespace std;
+
+// Fitxer que calcula a partir d'un fitxer de resultats del programa mc-2 els
+// valors de d<e>/dT amb derivació numèrica.
+
+struct Row {
+ long double T;
+ long double E;
+};
+
+int main() {
+ vector<Row> data;
+ long double t; // Trash
+ long double T;
+ long double E;
+ while (cin >> t >> T >> E >> t >> t >> t >> t >> t >> t >> t >> t) {
+ Row r;
+ r.T = T;
+ r.E = E;
+ data.push_back(r);
+ }
+
+ for (int i = 0; i < (int)data.size() - 1; ++i) {
+ long double derivada = (data[i + 1].E - data[i].E)/(data[i + 1].T - data[i].T);
+ cout << data[i].T << " " << derivada << endl;
+ }
+}
diff --git a/quad10/fenomens/lab/p4/drawDepEnLGraphs.bash b/quad10/fenomens/lab/p4/drawDepEnLGraphs.bash
new file mode 100755
index 0000000..08914a8
--- /dev/null
+++ b/quad10/fenomens/lab/p4/drawDepEnLGraphs.bash
@@ -0,0 +1,28 @@
+#!/bin/bash
+cd data_out/dep_en_L
+LList="8 16 32 64 96"
+LFinalList=()
+
+mkdir -p tmpdata
+for L in $LList; do
+ if [ -d "$L" ]; then
+ (cd $L; cat *.res | sort -nk2 > "../tmpdata/$L.dat")
+ if [ $L -eq 32 ]; then
+ ../../out/cv_via_derivative < tmpdata/32.dat > tmpdata/32_derivada_E.dat
+ fi
+ LFinalList+=("$L")
+ else
+ echo "Folder with L=$L doesn't exist, skipping."
+ fi
+done
+
+LFinalListString="${LFinalList[@]}"
+
+cd ../../
+mkdir -p data_out/dep_en_L_graphs
+
+cd data_out/dep_en_L_graphs
+../../graphs/dependenciaEnL.gnu "$LFinalListString"
+
+cd ../../
+#rm -rf data_out/dep_en_L/tmpdata
diff --git a/quad10/fenomens/lab/p4/drawDepEnSeedGraph.bash b/quad10/fenomens/lab/p4/drawDepEnSeedGraph.bash
new file mode 100755
index 0000000..cf1a6ab
--- /dev/null
+++ b/quad10/fenomens/lab/p4/drawDepEnSeedGraph.bash
@@ -0,0 +1,7 @@
+#!/bin/bash
+T=1.9
+L=64
+SEEDS="17427 9090712 590100 8248 99963"
+mkdir -p data_out/depEnSeed
+parallel -P -1 --linebuffer --tag "./run.bash $T $L depEnSeed/{} --saveEvolution --mcTot 10000 --nSeeds 1 --initialSeed {} --skipIfComputed" ::: $SEEDS
+(cd data_out/depEnSeed; ../../graphs/dependenciaEnSeed.gnu "$SEEDS" "$L")
diff --git a/quad10/fenomens/lab/p4/drawFinalConfsGraph.bash b/quad10/fenomens/lab/p4/drawFinalConfsGraph.bash
new file mode 100755
index 0000000..7f83e9d
--- /dev/null
+++ b/quad10/fenomens/lab/p4/drawFinalConfsGraph.bash
@@ -0,0 +1,6 @@
+#!/bin/bash
+TList=$(seq 1.9 0.3 3.4)
+L=64
+mkdir -p data_out/finalconfs
+parallel -P -1 --linebuffer --tag "./run.bash {} $L finalconfs/{} --saveFinalConf --nSeeds 1 --initialSeed 99963 --skipIfComputed" ::: $TList
+(cd data_out/finalconfs; ../../graphs/finalConfs.gnu "$TList" "$L")
diff --git a/quad10/fenomens/lab/p4/drawGraphs.bash b/quad10/fenomens/lab/p4/drawGraphs.bash
deleted file mode 100755
index 9a55c5c..0000000
--- a/quad10/fenomens/lab/p4/drawGraphs.bash
+++ /dev/null
@@ -1,21 +0,0 @@
-#!/bin/bash
-cd data_out/dep_en_L
-LList="8 16 32 64"
-LFinalList=()
-
-mkdir -p tmpdata
-for L in $LList; do
- if [ -d "$L" ]; then
- (cd $L; cat *.res | sort -nk2 > "../tmpdata/$L.dat")
- LFinalList+=("$L")
- else
- echo "Folder with L=$L doesn't exist, skipping."
- fi
-done
-
-LFinalListString="${LFinalList[@]}"
-
-cd ../../
-mkdir -p data_out/dep_en_L_graphs
-./graphs/dependenciaEnL.gnu "$LFinalListString"
-rm -rf data_out/dep_en_L/tmpdata
diff --git a/quad10/fenomens/lab/p4/energ.f90 b/quad10/fenomens/lab/p4/energ.f90
index 431a296..a57601e 100644
--- a/quad10/fenomens/lab/p4/energ.f90
+++ b/quad10/fenomens/lab/p4/energ.f90
@@ -1,5 +1,7 @@
+! Retorna, donada una matriu d'spins S d'un sistema de mida LxL,
+! l'energia del sistema.
real*8 function energ(S, L)
- integer*2 :: S(1:64, 1:64)
+ integer*2 :: S(1:128, 1:128)
integer*4 :: I, J, L, PBC
real*8 :: ENE
ENE = 0.0d0
diff --git a/quad10/fenomens/lab/p4/generateSpinMatrix.f90 b/quad10/fenomens/lab/p4/generateSpinMatrix.f90
index 0128119..6351e45 100644
--- a/quad10/fenomens/lab/p4/generateSpinMatrix.f90
+++ b/quad10/fenomens/lab/p4/generateSpinMatrix.f90
@@ -1,9 +1,12 @@
+! Inicialitza la matriu d'spins S aleatòriament, donada la mida del sistema L
+! i una llavor inicial SEED. Tot i que S té mida 128x128 només les primeres L
+! files i L columnes s'utilitzen.
subroutine generateSpinMatrix(S, L, SEED)
use iso_fortran_env
implicit none
integer*4, intent(in) :: L
integer*4, intent(in) :: SEED
- integer*2, intent(out) :: S(1:64,1:64)
+ integer*2, intent(out) :: S(1:128,1:128)
integer*4 :: i, j
integer(int32) :: genrand_int31
diff --git a/quad10/fenomens/lab/p4/graphs/dependenciaEnL.gnu b/quad10/fenomens/lab/p4/graphs/dependenciaEnL.gnu
index a1a1ae8..8c04f2c 100755
--- a/quad10/fenomens/lab/p4/graphs/dependenciaEnL.gnu
+++ b/quad10/fenomens/lab/p4/graphs/dependenciaEnL.gnu
@@ -1,104 +1,352 @@
#!/usr/bin/env -S gnuplot -c
-outputfile = 'data_out/dep_en_L_graphs/' # Nom de la imatge resultant (sense extensió)
-datafilepre = 'data_out/dep_en_L/tmpdata/'
+outputfile = ''
+datafilepre = '../dep_en_L/tmpdata/'
datafilepost = '.dat'
LS = ARG1
-svgTerminal = "set terminal svg dashed size 800, 800 font \"Computer Modern,Tinos,Helvetica,15\"; pointSize=0.5"
+SPECIAL_L = 32
+ZOOMEDIN = 1 # Whether we want to include zoomed in graphs (1) or not (0)
+USEHACK = 1 # In theory, due to the defaults of run.bash, SUI = 1900*150. But for L=96, we used other values, so setting USEHACK=1 gives a different value for SUMI(96).
+
+# COMPORTAMENT CRÍTIC (extret de l'anàlisi fet a l'informe):
+TC = 2.268
+BETA = 0.13
+GAMMA = 1.77
+
+# All LS except for 96, since it's low quality data.
+PartialLS = system('LS="'. LS .'"; PartialLS=""; for L in $LS; do if [ $L -ne 96 ]; then PartialLS+="$L "; fi; done; echo $PartialLS')
+
+TERMINALS = "svg png tex"
+
+svgTerminal = "set terminal svg size 800, 800 font \"Computer Modern,Tinos,Helvetica,15\"; pointSize=0.5"
pngTerminal = "set terminal pngcairo size 800, 800 font \"Computer Modern,Tinos,Helvetica,15\"; pointSize=0.7"
+texTerminal = "set terminal cairolatex size 8.5cm, 8.5cm; pointSize=0.7"
graphStyle = "with linespoints pointsize pointSize"
+SUMI(L) = (USEHACK ? (L == 96 ? 1400*16 : 1900*150) : 1900*150)
+suffix(CHOOSEL) = (CHOOSEL == 0 ? '_ALLL' : (CHOOSEL == 1 ? '' : '_L' . SPECIAL_L))
+
set style line 101 lc rgb '#808080' lt 1 lw 1
set border 3 front ls 101
set tics nomirror out scale 0.75
-set style line 102 lc rgb '#d6d7d9' lt 0 lw 1
+set linetype 99963 dashtype (6, 0, 0, 10)
+set style line 102 lc rgb '#d6d7d9' lt 99963 lw 1
set grid back ls 102
-set xlabel "Temperatura (K)"
+set xlabel "T"
set yrange [*<0:0<*]
# ------------------------------------
# Gràfica per la capacitat calorífica:
# ------------------------------------
-set title "Capacitat calorífica per diferents valors d'L"
+set title ""
-@svgTerminal
-set output outputfile.'capacitat_calorifica.svg'
-plot for [L in LS] datafilepre . L . datafilepost using 2:10 @graphStyle title "L = ".L
+# CHOOSEL can be:
+# - 0: all Ls will be drawn
+# - 1: all Ls except for 96 will be drawn
+# - 2: only L=32 will be drawn
+do for [CHOOSEL = 0:2] {
+ do for [TERM in TERMINALS] {
+ if (TERM eq "tex") {
+ @texTerminal
+ set ylabel '$c_V$'
+ title_1 = '$\frac{\text{Var}(e)}{T^2}$'
+ title_1alt = 'L = %d'
+ title_2 = '$\frac{d\langle e \rangle}{dT}$'
+ set key spacing 2
+ } else {
+ set ylabel 'Capacitat calorífica'
+ title_1 = 'Var(e)/T^2'
+ title_1alt = 'L = %d'
+ title_2 = 'd<e>/dT'
+ set key spacing 1.25
+ if (TERM eq "png") {
+ @pngTerminal
+ } else {
+ @svgTerminal
+ }
+ }
-@pngTerminal
-set output outputfile.'capacitat_calorifica.png'
-replot
+ set output outputfile.'capacitat_calorifica'.suffix(CHOOSEL).'.'.TERM
+ set yrange [*<0:0<*]
+
+ if (CHOOSEL == 0) {
+ set yrange [0:2.6]
+ plot for [L in LS] datafilepre . L . datafilepost using 2:10 @graphStyle title sprintf(title_1alt, L+0)
+ } else {
+ if (CHOOSEL == 1) {
+ plot for [L in PartialLS] datafilepre . L . datafilepost using 2:10 @graphStyle title sprintf(title_1alt, L+0)
+ } else {
+ plot datafilepre . SPECIAL_L . datafilepost using 2:10 @graphStyle title sprintf(title_1, SPECIAL_L), \
+ datafilepre . SPECIAL_L . '_derivada_E' .datafilepost using 1:($2/(SPECIAL_L**2)) with points pointsize 1.2*pointSize title sprintf(title_2, SPECIAL_L)
+ }
+ }
+ }
+}
+
+set yrange [*<0:0<*]
+set ylabel ""
# ----------------------------------------
# Gràfica per la susceptibilitat magnètica
# ----------------------------------------
-set title "Susceptibilitat magnètica per diferents valors d'L"
+set title ""
+
+# CHOOSEL can be:
+# - 0: all Ls will be drawn
+# - 1: all Ls except for 96 will be drawn
+# - 2: only L=32 will be drawn
+do for [CHOOSEL = 0:3] {
+ set ylabel 'Susceptibilitat magnètica'
+
+ @svgTerminal
+ set output outputfile.'susceptibilitat_magnetica'. suffix(CHOOSEL) .'.svg'
+ if (CHOOSEL == 0) {
+ set yrange [0:175]
+ plot for [L in LS] datafilepre . L . datafilepost using 2:11 @graphStyle title "L = ".L
+ } else {
+ if (CHOOSEL == 1) {
+ set yrange [0:75]
+ plot for [L in PartialLS] datafilepre . L . datafilepost using 2:11 @graphStyle title "L = ".L
+ } else {
+ set yrange [0:22]
+ plot datafilepre . SPECIAL_L . datafilepost using 2:11 @graphStyle lc 3 title '$\chi$'
+ }
+ }
+
+ @pngTerminal
+ set output outputfile.'susceptibilitat_magnetica'. suffix(CHOOSEL) .'.png'
+ replot
+
+ @texTerminal
+ set ylabel '$\chi$'
+ set output outputfile.'susceptibilitat_magnetica'. suffix(CHOOSEL) .'.tex'
+ replot
+}
+
+set yrange [*<0:0<*]
+
+# --------------------------------------------------------------
+# Gràfica per la susceptibilitat magnètica (finite size scaling)
+# --------------------------------------------------------------
+set title ""
+
+set xlabel 'L^{1/\nu} t'
+set ylabel '\chi/(L^{\gamma/\nu})'
+
+set key spacing 1.25
@svgTerminal
-set output outputfile.'susceptibilitat_magnetica.svg'
-plot for [L in LS] datafilepre . L . datafilepost using 2:11 @graphStyle title "L = ".L
+set output outputfile.'susceptibilitat_magnetica_fss.svg'
+plot for [L in PartialLS] datafilepre . L . datafilepost using (L*($2 - TC)/TC):($11/(L**GAMMA)) @graphStyle title "L = ".L
@pngTerminal
-set output outputfile.'susceptibilitat_magnetica.png'
+set output outputfile.'susceptibilitat_magnetica_fss.png'
replot
+@texTerminal
+set xlabel '$L^{1/\nu} t$'
+set ylabel '$\chi/L^{\gamma/\nu}$'
+set key spacing 1.66
+set output outputfile.'susceptibilitat_magnetica_fss.tex'
+replot
+
+set key spacing 1.25
+set xlabel 'T'
+
# ---------------------
# Gràfica per l'energia
# ---------------------
-do for [IDX = 0:1] {
- if (IDX == 0) {
- @svgTerminal
- set output outputfile.'energia.svg'
- } else {
- @pngTerminal
- set output outputfile.'energia.png'
+
+# CHOOSEL can be:
+# - 0: all Ls will be drawn
+# - 1: all Ls except for 96 will be drawn
+# - 2: only L=32 will be drawn
+do for [CHOOSEL = 0:2] {
+ do for [TERM in TERMINALS] {
+ if (TERM eq "tex") {
+ @texTerminal
+ title_l = 'L = %d'
+ title_e = '$\langle e \rangle$'
+ title_sqrtee = '$-\sqrt{\langle e^2 \rangle}$'
+ set key spacing 1.66
+ } else {
+ title_l = 'L = %d'
+ title_e = '<e>'
+ title_sqrtee = '-sqrt(<e^2>)'
+ set key spacing 1.25
+ if (TERM eq "png") {
+ @pngTerminal
+ } else {
+ @svgTerminal
+ }
+ }
+ set output outputfile.'energia'.suffix(CHOOSEL).'.'.TERM
+
+ set origin 0, 0
+ set size 1, 1
+ set xtics auto
+ set ytics auto
+
+ if (ZOOMEDIN = 1) {
+ set multiplot
+ }
+
+ unset object 1
+
+ set title ""
+ set xlabel "T"
+ if (TERM eq "tex" && CHOOSEL != 2) {
+ set ylabel '$\langle e \rangle$'
+ } else {
+ set ylabel "Energia per partícula"
+ }
+ set key bottom right
+ set key noopaque
+ set autoscale x
+ set yrange [*<0:0<*]
+
+ if (TERM eq "tex") {
+ set ytics 0.5
+ }
+
+ if (CHOOSEL == 0) {
+ plot for [L in LS] datafilepre . L . datafilepost using 2:($3/(L**2)) @graphStyle title sprintf(title_l, L+0)
+ } else {
+ if (CHOOSEL == 1) {
+ plot for [L in PartialLS] datafilepre . L . datafilepost using 2:($3/(L**2)) @graphStyle title sprintf(title_l, L+0)
+ } else {
+ plot datafilepre . SPECIAL_L . datafilepost using 2:($3/(SPECIAL_L**2)) @graphStyle title sprintf(title_e, SPECIAL_L), \
+ datafilepre . SPECIAL_L . datafilepost using 2:(-sqrt($4)/(SPECIAL_L**2)) @graphStyle title sprintf(title_sqrtee, SPECIAL_L)
+ }
+ }
+
+ if (ZOOMEDIN = 1) {
+ if (TERM eq "tex") {
+ set origin 0.175, 0.575
+ } else {
+ set origin 0.1, 0.525
+ }
+ set size 0.6, 0.4
+ set title ""
+ set xlabel ""
+ set ylabel ""
+ set key off
+ if (CHOOSEL != 2) {
+ set xrange [2.3:2.36]
+ set yrange [-1.5:-1.2]
+ if (TERM eq "tex") {
+ set xtics 0.03
+ set ytics 0.15
+ }
+ } else {
+ set xrange [2.35:2.4]
+ set yrange [-1.3:-1.2]
+ set xtics 0.025
+ if (TERM eq "tex") {
+ set ytics 0.05
+ }
+ }
+ set object 1 rectangle from graph 0,0 to graph 1,1 behind fillcolor rgb 'white' fillstyle solid noborder
+ replot
+
+ unset multiplot
+ }
}
-
- set multiplot
-
- set origin 0, 0
- set size 1, 1
- set title "Energia per diferents valors de L"
- set xlabel "Temperatura (K)"
- set key bottom right
- set key noopaque
- set autoscale x
- set yrange [*<0:0<*]
- unset object 1
- plot for [L in LS] datafilepre . L . datafilepost using 2:($3/(L**2)) @graphStyle title "<E>/N, L = ".L, \
- for [L in LS] datafilepre . L . datafilepost using 2:(-sqrt($4)/(L**2)) @graphStyle title "-sqrt(<E^2>)/N, L = ".L
-
- set origin 0.1, 0.525
- set size 0.6, 0.4
- set title ""
- set xlabel ""
- set key off
- set xrange [2.25:2.5]
- set yrange [-1.6:-1.1]
- set object 1 rectangle from graph 0,0 to graph 1,1 behind fillcolor rgb 'white' fillstyle solid noborder
- replot
-
- unset multiplot
}
+set key spacing 1.25
set origin 0, 0
set size 1, 1
set autoscale x
set yrange [*<0:0<*]
-set xlabel "Temperatura (K)"
+set xlabel "T"
+set ylabel ""
+set xtics auto
+set ytics auto
unset object 1
# ----------------------------
# Gràfica per la magnetització
# ----------------------------
-set title "Magnetització per diferents valors d'L"
+set title ""
-@svgTerminal
-set output outputfile.'magnetitzacio.svg'
-set key top right
-plot for [L in LS] datafilepre . L . datafilepost using 2:($7/(L**2)) @graphStyle title "<|M|>/N, L = ".L, \
- for [L in LS] datafilepre . L . datafilepost using 2:(sqrt($8)/(L**2)) @graphStyle title "sqrt(<M^2>)/N, L = ".L
+# CHOOSEL can be:
+# - 0: all Ls will be drawn
+# - 1: all Ls except for 96 will be drawn
+# - 2: only L=32 will be drawn
+do for [CHOOSEL = 0:2] {
+ do for [TERM in TERMINALS] {
+ if (TERM eq "tex") {
+ @texTerminal
+ title_m = '$\langle |m| \rangle$'
+ title_malt = '$L = %d$'
+ title_sqrtmm = '$\sqrt{\langle m^2 \rangle}$'
+ if (CHOOSEL == 2) {
+ set key spacing 2
+ } else {
+ set key spacing 1.66
+ }
+ } else {
+ title_m = '<|m|>'
+ title_malt = 'L = %d'
+ title_sqrtmm = 'sqrt(<m^2>)'
+ set key spacing 1.25
+ if (TERM eq "png") {
+ @pngTerminal
+ } else {
+ @svgTerminal
+ }
+ }
-@pngTerminal
-set output outputfile.'magnetitzacio.png'
-replot
+ if (TERM eq "tex" && CHOOSEL != 2) {
+ set ylabel '$\langle |m| \rangle$'
+ } else {
+ set ylabel "Magnetització per partícula"
+ }
+
+ set output outputfile.'magnetitzacio'.suffix(CHOOSEL).'.'.TERM
+ set key top right
+ if (CHOOSEL == 0) {
+ plot for [L in LS] datafilepre . L . datafilepost using 2:($7/(L**2)) @graphStyle title sprintf(title_malt, L+0)
+ } else {
+ if (CHOOSEL == 1) {
+ plot for [L in PartialLS] datafilepre . L . datafilepost using 2:($7/(L**2)) @graphStyle title sprintf(title_malt, L+0)
+ } else {
+ plot datafilepre . SPECIAL_L . datafilepost using 2:($7/(SPECIAL_L**2)) @graphStyle title sprintf(title_m, SPECIAL_L), \
+ datafilepre . SPECIAL_L . datafilepost using 2:(sqrt($8)/(SPECIAL_L**2)) @graphStyle title sprintf(title_sqrtmm, SPECIAL_L)
+ }
+ }
+ }
+}
+
+# --------------------------------------------------
+# Gràfica per la magnetització (finite size scaling)
+# --------------------------------------------------
+set title ""
+set ylabel "Magnetització per partícula"
+
+# CHOOSEL can be:
+# - 0: all Ls will be drawn
+# - 1: all Ls except for 96 will be drawn
+# - 2: only L=32 will be drawn
+do for [TERM in TERMINALS] {
+ if (TERM eq "tex") {
+ @texTerminal
+ set xlabel '$L^{1/\nu} t$'
+ set ylabel '$\langle |m| \rangle L^{\beta/\nu}$'
+ set key spacing 1.66
+ } else {
+ set xlabel 'L^{1/\nu} t'
+ set ylabel '<|m|> L^{\beta/\nu}'
+ set key spacing 1.25
+ if (TERM eq "png") {
+ @pngTerminal
+ } else {
+ @svgTerminal
+ }
+ }
+
+ set output outputfile.'magnetitzacio_fss.'.TERM
+ set key top right
+ plot for [L in PartialLS] datafilepre . L . datafilepost using (L*($2 - TC)/TC):($7/(L**2)*(L**(BETA))) @graphStyle title sprintf('L = %s', L)
+}
diff --git a/quad10/fenomens/lab/p4/graphs/dependenciaEnSeed.gnu b/quad10/fenomens/lab/p4/graphs/dependenciaEnSeed.gnu
new file mode 100755
index 0000000..be9b69c
--- /dev/null
+++ b/quad10/fenomens/lab/p4/graphs/dependenciaEnSeed.gnu
@@ -0,0 +1,31 @@
+#!/usr/bin/env -S gnuplot -c
+outputfile = 'depEnSeed' # Nom de la imatge resultant (sense extensió)
+datafilepost = '.ev'
+L=32
+SEEDS = ARG1
+L = ARG2
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 11cm
+ set output outputfile.'.tex'
+ } else {
+ set terminal svg dashed size 600, 1200 font "Computer Modern,Tinos,Helvetica,15"
+ set output outputfile.'.svg'
+ }
+
+ set multiplot layout 2,1
+ set key outside top horizontal
+
+ set xlabel "Iteracions MC"
+ set ylabel '$\langle e \rangle$'
+ set yrange [-2:0]
+ plot for [S in SEEDS] S . datafilepost using 1:($2/(L*L)) with lines title sprintf('$S = %s$', S)
+
+ set xlabel "Iteracions MC"
+ set ylabel '$\langle m \rangle$'
+ set yrange [-1:1]
+ plot for [S in SEEDS] S . datafilepost using 1:($3/(L*L)) with lines title sprintf('$S = %s$', S)
+
+ unset multiplot
+}
diff --git a/quad10/fenomens/lab/p4/graphs/finalConfs.gnu b/quad10/fenomens/lab/p4/graphs/finalConfs.gnu
new file mode 100755
index 0000000..c83fa5f
--- /dev/null
+++ b/quad10/fenomens/lab/p4/graphs/finalConfs.gnu
@@ -0,0 +1,31 @@
+#!/usr/bin/env -S gnuplot -c
+outputfile = 'confs' # Nom de la imatge resultant (sense extensió)
+datafilepost = '.conf'
+TS = ARG1
+L = ARG2
+
+do for [IDX = 0:1] {
+ if (IDX == 0) {
+ set terminal cairolatex size 8.5cm, 13cm
+ set output outputfile.'.tex'
+ symbsize=0.18
+ } else {
+ set terminal svg dashed size 600, 1000 font "Computer Modern,Tinos,Helvetica,15"
+ set output outputfile.'.svg'
+ symbsize=0.3
+ }
+
+ set multiplot layout 3,2
+
+ do for [T in TS] {
+ set title "T = " . T
+ set size square
+ set xrange [0:L+1]
+ set yrange [0:L+1]
+ unset xtics
+ unset ytics
+ plot T . datafilepost using 1:2 with points pt 5 ps symbsize notitle
+ }
+
+ unset multiplot
+}
diff --git a/quad10/fenomens/lab/p4/magne.f90 b/quad10/fenomens/lab/p4/magne.f90
index 118a965..4e0e89e 100644
--- a/quad10/fenomens/lab/p4/magne.f90
+++ b/quad10/fenomens/lab/p4/magne.f90
@@ -1,7 +1,9 @@
+! Retorna, donada una matriu d'spins S d'un sistema de mida LxL,
+! la magnetització del sistema.
real*8 function magne(S, L)
implicit none
integer*4, intent(in) :: L
- integer*2, intent(out) :: S(1:64,1:64)
+ integer*2, intent(out) :: S(1:128,1:128)
integer*4 :: i, j
real*8 :: mag
mag = 0d0
diff --git a/quad10/fenomens/lab/p4/pbc.f90 b/quad10/fenomens/lab/p4/pbc.f90
index 09cfff3..3f803a4 100644
--- a/quad10/fenomens/lab/p4/pbc.f90
+++ b/quad10/fenomens/lab/p4/pbc.f90
@@ -1,3 +1,7 @@
+! Funció que imposa les condicions de contorn periòdiques, enviant l'índex N al
+! valor corresponent en l'interval [1, L].
+!
+! Prerequisit: N està a l'interval [0, L + 1].
integer*4 function PBC(N, L)
integer*4, intent(in) :: N, L
if (N == 0) then
diff --git a/quad10/fenomens/lab/p4/run.bash b/quad10/fenomens/lab/p4/run.bash
index 2c95bdd..1be282a 100755
--- a/quad10/fenomens/lab/p4/run.bash
+++ b/quad10/fenomens/lab/p4/run.bash
@@ -5,9 +5,10 @@
Usage: $progname T L [outFilePrefix [--help --skipIfComputed
--nSeeds NSEEDS --mcTot MCTOT --mcIni MCINI --mcD MCD
- --initialSeed INITIALSEED --saveFinalConf]]
+ --initialSeed INITIALSEED --saveFinalConf
+ --saveEvolution]]
- the output file will be saved at "data_out/{{outFilePrefix}}"
+ the results file will be saved at "data_out/{{outFilePrefix}}.res"
optional arguments:
-h, --help show this help message and exit.
@@ -24,6 +25,11 @@
--initialSeed initial seed for the Monte Carlo algorithm.
--saveFinalConf save a file with the configuration which
belongs to the last Montecarlo iteration.
+ It will be saved at
+ "data_out/{{outFilePrefix}}.conf".
+ --saveEvolution save a file with the temporary evolution
+ of the simulation. It will be saved at
+ "data_out/{{outFilePrefix}}.ev"
END
}
@@ -37,7 +43,7 @@
defaultOutFilePrefix="L$L-T$T"
outFilePrefix="${3:-$defaultOutFilePrefix}"
-opts=$(getopt -l "help,skipIfComputed,nSeeds:,mcTot:,mcIni:,mcD:,initialSeed:,saveFinalConf" -o "hsn:m:i:d:" -n "$progname" -- "${@:4}")
+opts=$(getopt -l "help,skipIfComputed,nSeeds:,mcTot:,mcIni:,mcD:,initialSeed:,saveFinalConf,saveEvolution" -o "hsn:m:i:d:" -n "$progname" -- "${@:4}")
eval set -- "$opts"
skipIfComputed=false
@@ -47,6 +53,7 @@
mcD=20
initialSeed=117654
saveFinalConf=F
+saveEvolution=F
while true; do
case "$1" in
@@ -82,6 +89,10 @@
saveFinalConf=T
shift
;;
+ --saveEvolution)
+ saveEvolution=T
+ shift
+ ;;
*) break ;;
esac
done
@@ -104,5 +115,6 @@
MCINI=$mcIni,
MCD=$mcD
SAVEFINALCONF=$saveFinalConf
+SAVEEVOLUTION=$saveEvolution
&END
EOF
diff --git a/quad10/fenomens/lab/p4/runAll.bash b/quad10/fenomens/lab/p4/runAll.bash
index c4f0783..2a842a0 100755
--- a/quad10/fenomens/lab/p4/runAll.bash
+++ b/quad10/fenomens/lab/p4/runAll.bash
@@ -1,4 +1,4 @@
-TList=$((seq 1.6 0.05 3.2; seq 2.2 0.01 2.5) | sort -n | uniq)
+TList=$((seq 1.6 0.05 3.2; seq 2.2 0.01 2.57; seq 2.25 0.005 2.4; seq 2.39 0.005 2.41; seq 2.53 0.005 2.55) | sort -n | uniq)
LList="8 16 32 64"
for L in $LList; do
mkdir -p data_out/dep_en_L/$L
diff --git a/quad10/fenomens/lab/p4/writeconfig.f90 b/quad10/fenomens/lab/p4/writeconfig.f90
index 30de3c9..477129f 100644
--- a/quad10/fenomens/lab/p4/writeconfig.f90
+++ b/quad10/fenomens/lab/p4/writeconfig.f90
@@ -1,3 +1,5 @@
+! Funció que guarda la configuració S d'un sistema de mida LxL al fitxer amb
+! nom NOM.
subroutine writeConfig(S, L, NOM)
implicit none
integer*4, intent(in) :: L
