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Title
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Random walks on lattices with a random distribution of perfect traps
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Author
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Abstract
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| 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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Language
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English
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Source (journal)
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Zeitschrift für Physik : B : condensed matter. - Berlin
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Publication
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Berlin
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1989
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ISSN
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0722-3277
[print]
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DOI
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10.1007/BF01319384
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Volume/pages
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73
:4
(1989)
, p. 551-553
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ISI
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A1989R869600014
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Full text (Publisher's DOI)
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