CONSTRUCTING THE CRITICAL CURVE FOR THE TWO-LAYER POTTS MODEL USING CELLULAR AUTOMATA
Yazdan Asgari, Mehrdad Ghaemi · Journal of Theoretical and Computational Chemistry · 2006
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.