Jamming probabilities for a vacancy in the dimer model.
Following the recent proposal made by [J. Bouttier, 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.
Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia.
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Poghosyan
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Priezzhev
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Ruelle