Single-file diffusion on self-similar substrates
Statistical Mechanics
2015-06-19 v1
Abstract
We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of the system present anomalous power laws modulated by logarithmic periodic oscillations. The anomalous exponent of a tagged particle is one half of the exponent of the center of mass, and always smaller than 1/4. Using heuristic arguments, the exponents and the periods of oscillation are analytically obtained and confirmed by Monte Carlo simulations.
Cite
@article{arxiv.1406.1680,
title = {Single-file diffusion on self-similar substrates},
author = {G. P. Suárez and H. O. Mártin and J. L. Iguain},
journal= {arXiv preprint arXiv:1406.1680},
year = {2015}
}
Comments
12 pages, 6 figures