Dimer Statistics on a Bethe Lattice

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dc.creatorHarris, A. B.
dc.creatorCohen, Michael
dc.date2004-08-27
dc.date.accessioned2026-07-07T02:59:59Z
dc.date.available2026-07-07T02:59:59Z
dc.descriptionWe 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.
dc.description20 pages, 8 figures, 34 references
dc.identifierhttps://arxiv.org/abs/cond-mat/0408618
dc.identifierhttp://arxiv.org/abs/cond-mat/0408618
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24727
dc.subjectStatistical Mechanics
dc.titleDimer Statistics on a Bethe Lattice
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