Survival and residence times in disordered chains with bias
Statistical Mechanics
2009-11-07 v2 Soft Condensed Matter
Abstract
We present a unified framework for first-passage time and residence time of random walks in finite one-dimensional disordered biased systems. The derivation is based on exact expansion of the backward master equation in cumulants. The dependence on initial condition, system size, and bias strength is explicitly studied for models with weak and strong disorder. Application to thermally activated processes is also developed.
Cite
@article{arxiv.cond-mat/0206546,
title = {Survival and residence times in disordered chains with bias},
author = {Pedro A. Pury and Manuel O. Caceres},
journal= {arXiv preprint arXiv:cond-mat/0206546},
year = {2009}
}
Comments
13 pages with 2 figures, RevTeX4; v2:minor grammatical changes, typos corrected