Dimer statistics of honeycomb lattices on Klein bottle, Möbius strip and cylinder
Dimer statistics of honeycomb lattices on Klein bottle, Möbius strip and cylinder
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DOI：
10.1016/j.physa.2012.03.004
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发表时间：
2012-08
影响因子：
3.3
通讯作者：
W. Li;Heping Zhang
中科院分区：
文献类型：
--
作者：
W. Li;Heping Zhang
二聚体统计是统计物理学中的一个核心问题。本文考虑了克莱因瓶、Möbius条和圆柱体上蜂窝晶格密排二聚体的计数。通过建立Pfaffian取向或交叉取向，然后计算所得取向图的斜对称矩阵的行列式，我们得到了Klein-bottle多面体、Möbius多面体和圆柱形多面体的密排二聚体数目的显式表达式。
Dimer statistics is a central problem in statistical physics. In this paper the enumerations of close-packed dimers of honeycomb lattices on Klein bottle, Möbius strip and cylinder are considered. By establishing a Pfaffian orientation or a crossing orientation, and then computing the determinants of the skew-symmetric matrices of the resulting orientation graphs, we obtain explicit expressions of the number of close-packed dimers of the Klein-bottle polyhex, the Möbius polyhex and the cylindrical polyhex.