Mean first-passage and residence times of random walks on asymmetric disordered chains

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.

arXiv comment13 pages, 2 figures, LaTeX (iopart)

References in corpus (5)

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