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Random walks on lattices with a random distribution of perfect traps

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Zeitschrift für Physik B Condensed Matter

Abstract

We made an accurate numerical determination of the average number of steps until trapping 〈n〉 of a particle performing a random walk on a square resp. cubic lattice containing traps. We assume a random distribution of perfect trap centers with densityq. Within a large range ofq-values we observe aq-dependence of the form 〈n〉=−q −α lnq with α∼0.817, resp. ∼0.689. The expression coincides with expansion results aroundq=1 and is compatible with expansion results aroundq=0.

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Authors and Affiliations

  1. Department of Physics, Universiteit Antwerpen, Universiteitsplein 1, B-2610, Belgium

    P. Scheunders & J. Naudts

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  1. P. Scheunders
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  2. J. Naudts
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Scheunders, P., Naudts, J. Random walks on lattices with a random distribution of perfect traps. Z. Physik B - Condensed Matter 73, 551–553 (1989). https://doi.org/10.1007/BF01319384

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  • DOI: https://doi.org/10.1007/BF01319384

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