Mean first-passage and residence times of random walks on asymmetric disordered chains
arXiv:cond-mat/0302408 · doi:10.1088/0305-4470/36/11/304
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.
13 pages, 2 figures, LaTeX (iopart)