二维小世界网络上各向同性Ashkin-Teller模型的相变  

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

作　　者：况庆强[1] 陈浩[2] 欧阳坤[1] 乐建新[1] 

机构地区：[1]江西师范大学物理与通信电子学院,江西南昌330022 [2]江西教育期刊社,江西南昌330027

出　　处：《江西师范大学学报（自然科学版）》2009年第2期127-131,共5页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(60807014);江西省自然科学基金(0512007);江西师范大学青年成长基金(1996)资助项目

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.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.

关 键 词：小世界网络 Ashkin-Teller模型 MonteCarlo方法 相图 

分 类 号：O414[理学—理论物理]