Decay times in one-dimensional chains |
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| Authors: | C. Van den Broeck M. Bouten |
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| Affiliation: | (1) Center for Statistical Mechanics, University of Texas at Austin, 78712 Austin, Texas;(2) Limburgs Universitair Centrum, B-3610 Diepenbeek, Belgium |
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| Abstract: | We calculate the average residence time for a particle performing a random walk over a chain ofN neighboring sitesi=1,..., N, with decay rates i, depending on the location of the particle in the chain. Exact results are given for some particular cases, while bounds on are given for specific initial conditions. In the continuum limit, various results from the literature are recovered or improved upon.On leave of absence from the Limburgs Universitair Centrum, B-3610 Diepenbeek, Belgium. Research associate, N.F.W.O., Belgium. |
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| Keywords: | First passage time trapping random walk |
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