Vacancy diffusion in the triangular lattice dimer model
Statistical Mechanics
2009-11-13 v2
Abstract
We study vacancy diffusion on the classical triangular lattice dimer model, sub ject to the kinetic constraint that dimers can only translate, but not rotate. A single vacancy, i.e. a monomer, in an otherwise fully packed lattice, is always localized in a tree-like structure. The distribution of tree sizes is asymptotically exponential and has an average of 8.16 \pm 0.01 sites. A connected pair of monomers has a finite probability of being delocalized. When delocalized, the diffusion of monomers is anomalous:
Keywords
Cite
@article{arxiv.0801.4718,
title = {Vacancy diffusion in the triangular lattice dimer model},
author = {Monwhea Jeng and Mark J. Bowick and Werner Krauth and Jennifer Schwarz and Xiangjun Xing},
journal= {arXiv preprint arXiv:0801.4718},
year = {2009}
}
Comments
15 pages, 27 eps figures. submitted to Physical Review E