CONSTRUCTING THE CRITICAL CURVE FOR THE TWO-LAYER POTTS MODEL USING CELLULAR AUTOMATA

Author:

ASGARI YAZDAN1,GHAEMI MEHRDAD2

Affiliation:

1. Deputy in Research and Technology, JIH Research Lab, 11365/8486, Tehran, Iran

2. Department of Chemistry, Teacher Training University, Tehran, Iran

Abstract

The critical points of the 3-states two-layer Potts model on square lattice for different interlayer couplings (Kx = Ky ≠ Kz) are calculated with high precision using probabilistic cellular automata with Glauber algorithm, 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 0.726, 0.807, 0.928, 0.987 and 1.00 for the cases Kz/Kx = 1, 0.5, 0.1, 0.01 and 0.001 respectively, from which the critical curve is been constructed based on this model.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Physical and Theoretical Chemistry,Computer Science Applications

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