Two-Dimensional Diffusion in the Presence of Topological Disorder
Statistical Mechanics
2007-05-23 v1
Abstract
How topological defects affect the dynamics of particles hopping between lattice sites of a distorted, two-dimensional crystal is addressed. Perturbation theory and numerical simulations show that weak, short-ranged topological disorder leads to a finite reduction of the diffusion coefficient. Renormalization group theory and numerical simulations suggest that longer-ranged disorder, such as that from randomly placed dislocations or random disclinations with no net disclinicity, leads to subdiffusion at long times.
Keywords
Cite
@article{arxiv.cond-mat/0308612,
title = {Two-Dimensional Diffusion in the Presence of Topological Disorder},
author = {Ligang Chen and Michael W. Deem},
journal= {arXiv preprint arXiv:cond-mat/0308612},
year = {2007}
}
Comments
10 pages, 6 figures