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On two types of obstructed random walks

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  • Kasteleyn, P.W.

Abstract

Two examples of random walks on a lattice which are subject to obstructing conditions are discussed: (i) a random walk on a d-dimensional lattice containing a periodic array of traps; (ii) a random walk in a set of colliding random walks in d = 1. Expressions are derived for the probability distribution of the lattice point where the walk comes to an end and the average total number of distinct lattice points visited in example (i), and for the probability distribution of a walker's displacement, in particular the mean square displacement, for long times in example (ii).

Suggested Citation

  • Kasteleyn, P.W., 1987. "On two types of obstructed random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 315-343.
    • Handle: RePEc:eee:phsmap:v:147:y:1987:i:1:p:315-343
    DOI: 10.1016/0378-4371(87)90113-0
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