| 伊辛模型的四分支临界面及其临界行为 |
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| 引用本文： | 唐坤发,胡嘉桢.伊辛模型的四分支临界面及其临界行为[J].物理学报,1988,37(3):515-519. |
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| 作者姓名： | 唐坤发 胡嘉桢 |
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| 作者单位： | (1)上海交通大学凝聚态物理研究所; (2)上海交通大学应用物理系 |
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| 摘 要： | 本文通过等标度同普适类变换理论,使严格的重正化群递推方程得以直接应用。对伊辛模型的计算产生了四个不动点、四支临界面。对应于铁磁及反铁磁相变,其结果与已知的严格解及最好近似解一致。对于超反铁磁相变,本文提出临界曲面方程为—ch(h)=sh(2Kx)sh(2Ky)。
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| 收稿时间： | 1987-04-20 |
POUR-BRANCH CRITICAL SURFACE AND CORRESPONDING CRITICAL BEHAVIOUR FOR ISING MODEL |
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| TANG KUN-FA and HU JIA-ZHEN.POUR-BRANCH CRITICAL SURFACE AND CORRESPONDING CRITICAL BEHAVIOUR FOR ISING MODEL[J].Acta Physica Sinica,1988,37(3):515-519. |
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| Authors: | TANG KUN-FA and HU JIA-ZHEN |
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| Abstract: | Application of exact renormalisation transformation, to Ising model via equiscale transformation in the same universality class, yields a four-branch critical surface and four fixed points. In the case of the ferromagnetic and antiferromagnetic phase transitions, the results are in agreement with the known exact and the best approximate ones very satifatorily. For the supperantiferromagnetic phase transition, we propose the critical surface equation as follows —ch(h) = sh(2Kx)sh(2Ky). |
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