有限大小Cayley树上Blume-Capel模型的相变研究  

The study of phase transitions for the Blume-Capel model on the Cayley tree of the finite size

作　　者：孙兆楼[1] 

机构地区：[1]曲阜师范大学物理工程学院,山东曲阜273165

出　　处：《高师理科学刊》2008年第1期55-59,共5页Journal of Science of Teachers＇College and University

摘　　要：利用Cayley树上自旋模型的精确递推方法,在热力学极限下研究了Cayley树上Blume-Capel(BC)系统的相变问题,发现系统在非零温区域没有自发磁化强度.通过固定一个自旋取向,利用递推方法,研究了有限大小Cayley树上BC系统的自发磁化强度,发现系统存在对称性破缺.讨论了晶体场作用对系统自发磁化强度的影响.Using the exact recursion celations derived from the spin model formnulated on the Cayley tree. the phase transitions for the Blume-Capel model in the thermodynamic limit are studied, and its spontaneous magnetizatiou is not found at nouzero temperatures. Fixing a single spin, and using the recursion relations, the spontaneous magnetization of the Blume-Capcl model on the Cayley tree of the finite systems is obtained. Symmetry breakiug is found. The influences of the anisotropy parameter on the spontaneous magnetization of tile Blume-Capel model are also studied.

关 键 词：Blume—Capel模型 CAYLEY树 自发磁化强度 对称性破缺 

分 类 号：O414.13[理学—理论物理]