Trapping of random walks in two and three dimensions

Shlomo Havlin, Menachem Dishon, James E. Kiefer, George H. Weiss

Research output: Contribution to journalArticlepeer-review

98 Scopus citations

Abstract

We introduce an exact enumeration method for calculating the survival probability P(n) for the n-step random walker on a lattice with randomly distributed high-concentration traps, c. Using it we show that our data scale as lnP(n)a , where =[-ln(1-c)]2(D+2)nD(D+2), when 10 in D=2 and D=3 dimensions. This value of corresponds to P(n)10-13.

Original languageEnglish
Pages (from-to)407-410
Number of pages4
JournalPhysical Review Letters
Volume53
Issue number5
DOIs
StatePublished - 1984

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