Survival and residence times in disordered chains with bias

Details Survival and residence times in disordered chains with bias Survival and residence times in disordered chains with bias

2002-06-27

arxiv.org/abs/cond-mat/0206546v2

Phys. Rev. E 66, 021112 (2002)

Physics

Condensed Matter

Statistical Mechanics

13 pages with 2 figures, RevTeX4; v2:minor grammatical changes, typos corrected

Scientific paper

10.1103/PhysRevE.66.021112

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.

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