Calculation of The Critical Point for Two-Layer Ising and Potts Models Using Cellular Automata
Computational Physics
2007-05-23 v1 Chemical Physics
Abstract
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 algorithm. The critical temperature is calculated for the isotropic and symmetric case (Kx=Ky=Kz=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.
Cite
@article{arxiv.physics/0411241,
title = {Calculation of The Critical Point for Two-Layer Ising and Potts Models Using Cellular Automata},
author = {Yazdan Asgari and Mehrdad Ghaemi and Mohammad Ghasem Mahjani},
journal= {arXiv preprint arXiv:physics/0411241},
year = {2007}
}
Comments
10 pages, 8 figures