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28 March 2024
 
  » arxiv » cond-mat/0511342

 Article overview


First-passage times for random walks in bounded domains
S Condamin ; O. Benichou ; M. Moreau ;
Date 14 Nov 2005
Subject Statistical Mechanics
AbstractWe present a novel computational method of first-passage times between a starting site and a target site of regular bounded lattices. We derive accurate expressions for all the moments of this first-passage time, validated by numerical simulations. Their range of validity is discussed. We also consider the case of a starting site and two targets. In addition, we present the extension to continuous Brownian motion. These results are of great relevance to any system involving diffusion in confined media.
Source arXiv, cond-mat/0511342
Other source [GID 157351] pmid16486327
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