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29 March 2024
 
  » arxiv » cond-mat/0511222

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First exit times and residence times for discrete random walks on finite lattices
S. Condamin ; O. Benichou ; M. Moreau ;
Date 9 Nov 2005
Journal Phys. Rev. E 72, 016127 (2005)
Subject Statistical Mechanics
AbstractIn this paper, we derive explicit formulas for the surface averaged first exit time of a discrete random walk on a finite lattice. We consider a wide class of random walks and lattices, including random walks in a non-trivial potential landscape. We also compute quantities of interest for modelling surface reactions and other dynamic processes, such as the residence time in a subvolume, the joint residence time of several particles and the number of hits on a reflecting surface.
Source arXiv, cond-mat/0511222
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