Constructing the Critical Curve for the Two-Layer Potts Model Using Cellular Automata

Details Constructing the Critical Curve for the Two-Layer Potts Model Using Cellular Automata Constructing the Critical Curve for the Two-Layer Potts Model Using Cellular Automata

2006-11-13

arxiv.org/abs/nlin/0611026v1

Journal of Theoretical and Computational Chemistry, Vol. 5, No. 2, 141-150, 2006

Nonlinear Sciences

Cellular Automata and Lattice Gases

15 pages, 6 figures

Scientific paper

The critical points of the 3-states two-layer Potts model on square lattice for different interlayer couplings (Kx, Ky,and 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 per Kx = 1, 0.5, 0.1, 0.01 and 0.001, respectively. Then, the critical curve has been constructed for this model.

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