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Encounter distribution of two random walkers on a finite one-dimensional interval

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Author

  • Vincent Tejedor
  • Michaela Reiter-Schad
  • Olivier Benichou
  • Raphael Voituriez
  • Ralf Metzler

Summary, in English

We analyse the first-passage properties of two random walkers confined to a finite one-dimensional domain. For the case of absorbing boundaries at the endpoints of the interval, we derive the probability that the two particles meet before either one of them becomes absorbed at one of the boundaries. For the case of reflecting boundaries, we obtain the mean first encounter time of the two particles. Our approach leads to closed-form expressions that are more easily tractable than a previously derived solution in terms of the Weierstrass' elliptic function.

Publishing year

2011

Language

English

Publication/Series

Journal of Physics A: Mathematical and Theoretical

Volume

44

Issue

39

Document type

Journal article

Publisher

IOP Publishing

Topic

  • Biophysics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1751-8113