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重正化群方法处理正方格子伊辛模型
引用本文:赵欣,周云松,王薇.重正化群方法处理正方格子伊辛模型[J].首都师范大学学报(自然科学版),1997,18(2):37-43.
作者姓名:赵欣  周云松  王薇
作者单位:首都师范大学物理系 (赵欣,周云松),首都师范大学物理系(王薇)
摘    要:分别通过正方格子伊辛模型的二格点集团、四格点集团及五格点集团的重正化变换群方法求解了二级相变临界温度.结果符合集团越大越准确这一规律,但同时也显示出一两个格点的增加对准确度的提高程度大致与确定集团自旋的不同方法之间的误差相当,所以要想明显提高准确度,应较大量地增加集团格点数.最后,指出了按一定法则计算时容易出错的地方。

关 键 词:格子  伊辛模型  格点  重正化群  点集  变换群  二级相变  集团  增加  法则

To Deal with Tetragonal Ising Model by Using Renormalization Group Method
Zhao Xin Zhou Yunson Wang Wei.To Deal with Tetragonal Ising Model by Using Renormalization Group Method[J].Journal of Capital Normal University(Natural Science Edition),1997,18(2):37-43.
Authors:Zhao Xin Zhou Yunson Wang Wei
Abstract:The critical temperature of the two dimensional Ising model which braves lattice is tetragonal are calculated by means of the renomalization group (RG) method when the Kadanoff clusters are constructed with four and five points respectively. The results agree with the popular regularity that the larger the Kadanoff cluster,the more accurate the result gotten by using RG mehod. But it is also showed that the error resulted by the additions and deletions for a few points in Kadanoff cluster come roughly to that resulted by different calcuating ways. Therefor,only in the case that the number of points in Kadanoff cluster increases largely,the accuracy can be enhanced evidently. Through discussing the two and five point clusters,the fault that is easy to be neglected is point out.
Keywords:renormalization group  Ising model  critical temperature    
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