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Journal of Statistical Physics

, Volume 15, Issue 5, pp 393–397 | Cite as

A simple calculation for the average number of steps to trapping in lattice random walks

  • Kurt E. Shuler
  • Howard Silver
  • Katja Lindenberg
Articles

Abstract

We show that the asymptotic results for the average number of steps to trapping at an irreversible trapping site on aD-dimensional finite lattice can be obtained from the generating function for random walks on aninfinite perfect lattice. This introduces a significant simplification into such calculations. An interesting corollary of these calculations is the conclusion that a random walker traverses, on the average, all the distinct nontrapping lattice sites before arriving on the trapping site.

Key words

Random walk steps to trapping lattice walk 

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Kurt E. Shuler
    • 1
  • Howard Silver
    • 1
  • Katja Lindenberg
    • 1
  1. 1.Department of ChemistryUniversity of California-San DiegoLa Jolla

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