Calculation of The Critical Point for Two-Layer Ising and Potts Models Using Cellular Automata

Details Calculation of The Critical Point for Two-Layer Ising and Potts Models Using Cellular Automata Calculation of The Critical Point for Two-Layer Ising and Potts Models Using Cellular Automata

2004-11-27

arxiv.org/abs/physics/0411241v1

Lecture Notes in Computer Science, 2004, 3305, 709-718

Physics

Computational Physics

10 pages, 8 figures

Scientific paper

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.

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