Jamming probabilities for a vacancy in the dimer model
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0801.4265,
title = {Jamming probabilities for a vacancy in the dimer model},
author = {V. S. Poghosyan and V. B. Priezzhev and P. Ruelle},
journal= {arXiv preprint arXiv:0801.4265},
year = {2008}
}
Comments
19 pages, 6 figures