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Dimer Statistics on a Bethe Lattice | A. B. Harris
; Michael Cohen
; | Date: |
27 Aug 2004 | Subject: | Statistical Mechanics | cond-mat.stat-mech | Abstract: | 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. | Source: | arXiv, cond-mat/0408618 | Services: | Forum | Review | PDF | Favorites |
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