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

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

2003-02-20

arxiv.org/abs/cond-mat/0302408v1

J. Phys. A 36, 2695 (2003)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 2 figures, LaTeX (iopart)

Scientific paper

10.1088/0305-4470/36/11/304

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.

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