| @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}, |
| } |