Dimer problem on the cylinder and torus

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	Dimer problem on the cylinder and torus
	Yan, WG ; Yeh, YN ; Zhang, FJ ; Zhang FJ(张福基)
刊名	http://dx.doi.org/10.1016/j.physa.2008.06.042
	2008-10-15
关键词	PERFECT MATCHINGS GRAPHICAL CONDENSATION STATISTICAL-MECHANICS REFLECTIVE SYMMETRY BOUNDARY-CONDITIONS PHASE-TRANSITION DOMINO TILINGS ISING-MODEL LATTICE ENUMERATION
英文摘要	Institute of Mathematics, Academia Sinica; NSFC [10771086, 10671162]; Fujian Province University; NSC [NSC96-2115-M-001-005]; We obtain explicit expressions of the number of close-packed dimers and entropy for three types of lattices (the so-called 8.8.6,8.8.4, and hexagonal lattices) with cylindrical boundary condition and the entropy of the 8.8.6 lattice with toroidal boundary condition. Our results and the one on 8.8.4 and hexagonal lattices with toroidal boundary condition by Salinas and Nagle [S.R. Salinas, J.F. Nagle, Theory of the phase transition in the layered hydrogen-bonded SnCl2 center dot 2H(2)O crystal, Phys. Rev. B 9 (1974) 4920-49311 and Wu [F.Y. Wu, Dimers on two-dimensional lattices, Inter. J. Modern Phys. B 20 (2006) 5357-5371] imply that the 8.8.6 (or 8.8.4) lattices with cylindrical and toroidal boundary conditions have the same entropy whereas the hexagonal lattices have not. Based on these facts we propose the following problem: under which conditions do the lattices with cylindrical and toroidal boundary conditions have the same entropy? (C) 2008 Elsevier B.V. All rights reserved.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66353]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Yan, WG,Yeh, YN,Zhang, FJ,et al. Dimer problem on the cylinder and torus[J]. http://dx.doi.org/10.1016/j.physa.2008.06.042,2008.
APA	Yan, WG,Yeh, YN,Zhang, FJ,&张福基.(2008).Dimer problem on the cylinder and torus.http://dx.doi.org/10.1016/j.physa.2008.06.042.
MLA	Yan, WG,et al."Dimer problem on the cylinder and torus".http://dx.doi.org/10.1016/j.physa.2008.06.042 (2008).