Calculation of the critical point for two-layer ising and potts models using cellular automata

Yazdan Asgari, Mehrdad Ghaemi, Mohammad Ghasem Mahjani

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Résumé

The critical points of the two-layer Ising and Potts models for square lattice have been calculated with high precision using probabilistic cellular automata (PCA) with Glauber alghorithm. The critical temperature is calculated for the isotropic and symmetric case (Kx=Ky=K z=K), where Kx and Ky are the nearest-neighbor interactions within each layer in the x and y directions, respectively, and Kz is the interlayer coupling. The obtained results are 0.310 and 0.726 for two-layer Ising and Potts models, respectively, that are in good agreement with the accurate values reported by others.

langue originaleAnglais
titreLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
rédacteurs en chefPeter M. A. Sloot, Alfons G. Hoekstra, Bastien Chopard
EditeurSpringer Verlag
Pages709-718
Nombre de pages10
ISBN (imprimé)3540235965, 9783540235965
Les DOIs
étatPublié - 1 janv. 2004
Modification externeOui

Série de publications

NomLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3305
ISSN (imprimé)0302-9743
ISSN (Electronique)1611-3349

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