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中国物理学会期刊

三维Ising模型的封闭近似解(Ⅳ)——配分函数的近似内插公式

CSTR: 32037.14.aps.30.1234

CLOSED-FORM APPROXIMATION FOR THE 3-DIMENSIONAL ISING MODEL (Ⅳ)——THE APPROXIMATE INTERPOLATION FORMULA FOR THE PARTITION FUNCTION

CSTR: 32037.14.aps.30.1234
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  • 根据对二维严格解和三维Q近似的分析,为三维Ising模型的配分函数提出一类近似的内插公式。只要付出足够的计算量,它原则上可以尽量多地反映目前已有的关于奇异点位置和高低温展开系数的知识,由一个封闭的解析表达式同时给出较好的高温和低温行为,但不能更好地反映比热奇异性。

     

    A class of approximate interpolation formula for the partition function of the 3-dimensional Ising model is proposed on the basis of a previous analysis of the 2-dim rigorous solution and 3-dim Q-approximation. In principle, the present knowledge about the location of the singular point and the low- and high-temperature expansion coefficients can be incorporated provided a sufficient amount of computation is carried out. One and the same analytical expression leads to good low- and high-temperature behaviour except for the specific heat singularity.

     

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