Derivation of low‐temperature expansions for Ising model. II. General theory
Derivation of low‐temperature expansions for Ising model. II. General theory
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伊辛模型 II 的低温膨胀的推导。
DOI：
10.1063/1.1666437
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发表时间：
1973
影响因子：
1.3
通讯作者：
D. Hunter
中科院分区：
文献类型：
--
作者：
M. Sykes;D. S. Gaunt;J. W. Essam;D. Hunter
研究了在推导铁磁体和反铁磁体伊辛模型的低温和高场展开式时出现的计数问题。提出了部分生成函数（完全码）法，并明确提出了完全码平衡原则。该方法的详细应用到一些格子的描述和替代给出解释相应的阴影格子上的某些格子的生成函数。结果表明，在零场和二维这些替代减少到众所周知的星星三角形和磁矩的结果。
The enumeration problem that arises in the derivation of low‐temperature and high‐field expansions for the Ising model of a ferromagnet and antiferromagnet is studied. The method of partial generating functions (complete codes) is developed and a principle of complete code balance is explicitly stated. The detailed application of the method to a number of lattices is described and substitutions given that interpret the generating functions of certain lattices on the corresponding shadow lattice. It is shown that in zero‐field and two dimensions some of these substitutions reduce to the well‐known star triangle and magnetic‐moment results.