Jamming probabilities for a vacancy in the dimer model

Details Jamming probabilities for a vacancy in the dimer model Jamming probabilities for a vacancy in the dimer model

2008-01-28

arxiv.org/abs/0801.4265v1

Phys.Rev.E77:041130,2008

Physics

Condensed Matter

Statistical Mechanics

19 pages, 6 figures

Scientific paper

10.1103/PhysRevE.77.041130

Following 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.

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