| 用参数变换方法研究—族钻石分形晶格上Ising模型的相变 |
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| 引用本文： | 孙春峰. 用参数变换方法研究—族钻石分形晶格上Ising模型的相变[J]. 北京师范大学学报(自然科学版), 2005, 41(1): 42-45 |
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| 作者姓名： | 孙春峰 |
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| 作者单位： | 北京师范大学理论物理研究所 100875，北京，孝感学院物理学系，432100，湖北孝感 |
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| 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．
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| 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 |
| 修稿时间： | 2004-07-01 |
PARAMETER-TRANSFORMATION STUDY OF THE PHASE TRANSITION IN THE ISING MODEL ON A FAMILY OF DIAMOND FRACTAL LATTICES |
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| Sun Chunfeng ,). PARAMETER-TRANSFORMATION STUDY OF THE PHASE TRANSITION IN THE ISING MODEL ON A FAMILY OF DIAMOND FRACTAL LATTICES[J]. Journal of Beijing Normal University(Natural Science), 2005, 41(1): 42-45 |
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| Authors: | Sun Chunfeng ) |
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| Affiliation: | Sun Chunfeng 1,2) |
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| Abstract: | 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. |
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| Keywords: | diamond fractal lattices Ising model parameter-transformations phase transitions critical properties exact solutions |
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