Title

Vacancy Diffusion in the Triangular Lattice Dimer Model

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Monwhea Jeng, Syracuse University
Werner Krauth, Ecole Normale Superieure de Paris
Jennifer Schwarz, Syracuse University
Xiangjun Xing, Syracuse University

Document Type

Article

Date

6-17-2008

Language

English

Disciplines

Physics

Description/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:

Additional Information

15 pages, 27 eps figures. submitted to Physical Review E More information at http://arxiv.org/abs/0801.4718

Recommended Citation

Bowick, Mark; Jeng, Monwhea; Krauth, Werner; Schwarz, Jennifer; and Xing, Xiangjun, "Vacancy Diffusion in the Triangular Lattice Dimer Model" (2008). Physics - All Scholarship. 141.
https://surface.syr.edu/phy/141

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.