Jamming probabilities for a vacancy in the dimer model

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dc.creatorPoghosyan, V. S.
dc.creatorPriezzhev, V. B.
dc.creatorRuelle, P.
dc.date2008-01-28
dc.date.accessioned2026-07-07T11:33:03Z
dc.date.available2026-07-07T11:33:03Z
dc.descriptionFollowing the recent proposal made by Bouttier et al [Phys. Rev. E 76, 041140 (2007)], we study analytically the mobility properties of a single vacancy in the close-packed dimer model on the square lattice. Using the spanning web representation, we find determinantal expressions for various observable quantities. In the limiting case of large lattices, they can be reduced to the calculation of Toeplitz determinants and minors thereof. The probability for the vacancy to be strictly jammed and other diffusion characteristics are computed exactly.
dc.description19 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0801.4265
dc.identifierhttp://arxiv.org/abs/0801.4265
dc.identifierPhys.Rev.E77:041130,2008
dc.identifierdoi:10.1103/PhysRevE.77.041130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197764
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleJamming probabilities for a vacancy in the dimer model
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