Geodesic
An accelerated exhaustive enumeration algorithm in the Ising model
Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 2, pp. 235-244

Voir la notice de l'article provenant de la source Math-Net.Ru

An accelerated algorithm for the precise calculation of the lattice Ising model is presented. The algorithm makes it possible to calculate two-dimensional 8$\times$8 lattices for periodic boundary conditions on ordinary personal computers. In turn, the exact solution obtained by the proposed method makes it possible to check the effectiveness of various probabilistic approaches, in particular the Monte Carlo methods. The algorithm is applicable to various types of lattices. 
@article{DVMG_2019_19_2_a7,
     author = {M. A. Padalko and P. D. Andriushchenko and K. S. Soldatov and K. V. Nefedev},
     title = {An accelerated exhaustive enumeration algorithm in the {Ising} model},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {235--244},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2019_19_2_a7/}
}
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M. A. Padalko; P. D. Andriushchenko; K. S. Soldatov; K. V. Nefedev. An accelerated exhaustive enumeration algorithm in the Ising model. Dalʹnevostočnyj matematičeskij žurnal, Tome 19 (2019) no. 2, pp. 235-244. http://geodesic.mathdoc.fr/item/DVMG_2019_19_2_a7/