| 有限大小Cayley树上Blume-Capel模型的相变研究 |
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| 引用本文： | 孙兆楼.有限大小Cayley树上Blume-Capel模型的相变研究[J].高师理科学刊,2008,28(1):55-59. |
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| 作者姓名： | 孙兆楼 |
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| 作者单位： | 曲阜师范大学,物理工程学院,山东,曲阜,273165 |
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| 基金项目： | 致谢：感谢孔祥木教授的指导. |
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| 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.
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| 关 键 词： | Blume-Capel模型 Cayley树 自发磁化强度 对称性破缺 |
| 文章编号： | 1007-9831（2008）01-0055-05 |
| 收稿时间： | 2007-09-10 |
| 修稿时间： | 2007年9月10日 |
The study of phase transitions for the Blume-Capel model on the Cayley tree of the finite size |
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| SUN Zhao-lou.The study of phase transitions for the Blume-Capel model on the Cayley tree of the finite size[J].Journal of Science of Teachers＇College and University,2008,28(1):55-59. |
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| Authors: | SUN Zhao-lou |
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| Abstract: | 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. |
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| Keywords: | Blume-Capel model Cayley tree spontaneous magnetization symmetry breaking |
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