中文摘要：

运用Monte Carlo方法,研究了二维重连型小世界网络上各向同性Ashkin-Teller模型的铁磁相变,得到了在不同重连概率p下该模型的相图.结果表明,重连概率p对相图的结构影响很小,此类相图均由3个相组成,即完全无序的顺磁相、部分有序的铁磁相和完全有序的铁磁相,在完全有序的铁磁相和完全无序的顺磁相以及完全有序的铁磁相和部分有序的铁磁相之间还出现了一级相变线.

英文摘要：

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.