Use of Series Expansions for the Ising Model Susceptibility and Excluded Volume Problem
Use of Series Expansions for the Ising Model Susceptibility and Excluded Volume Problem
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DOI：
10.1063/1.1724213
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发表时间：
1961
影响因子：
1.3
通讯作者：
C. Domb;M. Sykes
中科院分区：
文献类型：
--
作者：
C. Domb;M. Sykes
本文讨论了最有效地利用伊辛模型级数展开系数的问题以及估计临界行为时的排除体积问题。结果表明，在初始不规则性之后，系数似乎稳定到平滑的渐近行为。考虑使用替代分析方法来提供临界点的一系列稳定的近似值。针对特定格子得出了数值结论，最近已经有了附加项。
The present paper discusses the problem of making the most effective use of the coefficients of series expansions for the Ising model and excluded volume problem in estimating critical behavior. It is shown that after initial irregularities the coefficients appear to settle down to a smooth asymptotic behavior. Alternative methods of analysis are considered for the provision of a steady series of approximations to the critical point. Numerical conclusions are drawn for particular lattices for which additional terms have recently become available.