TY - JOUR
T1 - Constructing the critical curve for the two-layer Potts model using cellular automata
AU - Asgari, Yazdan
AU - Ghaemi, Mehrdad
PY - 2006/6/1
Y1 - 2006/6/1
N2 - The critical points of the 3-states two-layer Potts model on square lattice for different interlayer couplings (Kx = Ky ≠ K z) 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/K x = 1, 0.5, 0.1, 0.01 and 0.001 respectively, from which the critical curve is been constructed based on this model.
AB - The critical points of the 3-states two-layer Potts model on square lattice for different interlayer couplings (Kx = Ky ≠ K z) 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/K x = 1, 0.5, 0.1, 0.01 and 0.001 respectively, from which the critical curve is been constructed based on this model.
KW - Cellular automata
KW - Critical point
KW - Ising model
KW - Potts model
UR - http://www.scopus.com/inward/record.url?scp=33745020207&partnerID=8YFLogxK
U2 - 10.1142/S0219633606002180
DO - 10.1142/S0219633606002180
M3 - Article
AN - SCOPUS:33745020207
SN - 0219-6336
VL - 5
SP - 141
EP - 150
JO - Journal of Theoretical and Computational Chemistry
JF - Journal of Theoretical and Computational Chemistry
IS - 2
ER -