Mean first-passage and residence times of random walks on asymmetric disordered chains
Statistical Mechanics
2009-11-10 v1 Soft Condensed Matter
Abstract
An algebraic derivation is presented which yields the exact solution of the mean first-passage and mean residence times of a one-dimensional asymmetric random walk for quenched disorder. Two models of disorder are analytically treated. Both, absorbing-absorbing and reflecting-absorbing boundaries are considered. Particularly, the interplay between asymmetry and disorder is studied.
Keywords
Cite
@article{arxiv.cond-mat/0302408,
title = {Mean first-passage and residence times of random walks on asymmetric disordered chains},
author = {Pedro A. Pury and Manuel O. Caceres},
journal= {arXiv preprint arXiv:cond-mat/0302408},
year = {2009}
}
Comments
13 pages, 2 figures, LaTeX (iopart)