Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains

Details Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains Exact expressions of mean first-passage times and splitting probabilities for random walks in bounded rectangular domains

2006-05-05

arxiv.org/abs/cond-mat/0605128v1

Physics

Condensed Matter

Statistical Mechanics

To appear as a note in J. Chem. Phys

Scientific paper

10.1063/1.2192770

We give exact and explicit expressions of mean first-passage times for random
walks in a rectangular domain, in both cases of reflecting boundary conditions
and periodic boundary conditions. The situations with one or two absorbing
targets are considered.

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