Dimer problem for some three dimensional lattice graphs
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- 作者：Fenggen Lin linfenggen@163.com" class="auth_mail" title="E-mail the corresponding author ; Ailian Chen ; elian1425@sina.com" class="auth_mail" title="E-mail the corresponding author ; Jiangzhou Lai jzlai868@fzu.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Dimer ; Entropy ; Three dimensional lattice
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：1 February 2016
- 年：2016
- 卷：443
- 期：Complete
- 页码：347-354
- 全文大小：648 K
文摘
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The transfer matrices of two types of three dimensional lattice graphs are designed.
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Obtain asymptotical expressions of the number of close-packed dimers of the concerned lattice graphs.
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Obtain a sufficient condition under which the lattices with multiple cylindrical and multiple toroidal boundary conditions have the same entropy.