Journal of Jiangxi Normal University

Phase Transitions of the Isotropic Ashkin-Teller Model on a Two-Dimensional Small World Network

Le Jian-Xin

Published Jan 1, 2009• 0 citations

Abstract

By using Monte Carlo simulation,we have studied phase transitions of the isotropic Ashkin-Teller model,for the ferromagnetic case,on a two-dimensional rewiring-type small world network,and obtained phase diagrams for several different values of the rewiring probability.It can be found that the rewiring probability have little effect on the structure of the phase diagrams,each of which consists of three phases,i.e.,the fully disordered paramagnetic phase, the partially ordered ferromagnetic phase and the fully ordered ferromagnetic phase,and there are first-order transitions between the fully ordered ferromagnetic phase and the fully disordered paramagnetic phase as well as between the fully ordered ferromagnetic phase and the partially ordered ferromagnetic phase.

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