用参数变换方法研究一族钻石分形晶格上Ising模型的相变  

PARAMETER-TRANSFORMATION STUDY OF THE PHASE TRANSITION IN THE ISING MODEL ON A FAMILY OF DIAMOND FRACTAL LATTICES

作　　者：孙春峰[1] 

机构地区：[1]北京师范大学理论物理研究所

出　　处：《北京师范大学学报（自然科学版）》2005年第1期42-45,共4页Journal of Beijing Normal University(Natural Science)

摘　　要：采用英国著名学者Stinchcombe提出的理论方法———参数变换,研究了一族钻石分形晶格上Ising模型的相 变和临界性质,结果表明:与实空间部分格点消约(decimation)RG变换的结果完全一致.这似乎暗示着用该方法精确求 解其他等级晶格上的离散自旋模型是有效的.Using the parameter-transformation method proposed by Stinchcombe R B, the phase transitions and critical properties of the Ising model on a family of diamond fractal lattices are investigated. It is found that the results are the same as that by using renormalization-group method. This seems to imply that the method of parameter-transformation is powerful.

关 键 词：钻石分形晶格 ISING模型 参数变换 相变 临界性质 精确解 

分 类 号：O414.2[理学—理论物理]