Dimer Statistics on a Bethe Lattice
统计力学
2007-05-23 v1
摘要
We discuss the exact solutions of various models of the statistics of dimer coverings of a Bethe lattice. We reproduce the well-known exact results for noninteracting hard-core dimers by both a very simple geometrical argument and a general algebraic formulation for lattice statistical problems. For the Bethe lattice we also obtain the exact solution when either a) the dimers interact via a short-range interaction or b) the underlying lattice is anisotropic. We also give solutions for special cases of random lattices and for the jamming limit of one dimensional deposition of dimers.
关键词
引用
@article{arxiv.cond-mat/0408618,
title = {Dimer Statistics on a Bethe Lattice},
author = {A. B. Harris and Michael Cohen},
journal= {arXiv preprint arXiv:cond-mat/0408618},
year = {2007}
}
备注
20 pages, 8 figures, 34 references