Effects of hard-core interaction on nearest neighbor distances at a single trap for random walks and for diffusion processes

Haim Taitelbaum, Shlomo Havlin, George H. Weiss

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The phenomenon of self-organization of reacting systems in low dimensions has recently been discussed by a number of investigators. One characterization of the tendency to self-organize is to study the distribution of the distance of the closest among a number of diffusing particles to a centrally located trap, which is allowed to be perfect or imperfect. We study this quantity in one dimension when the particles are assumed to interact by means of a hard-core potential. Our results indicate that there is an observable difference between results obtained for the interacting and non-interacting cases for random walks on a discrete line. These differences tend to disappear at long enough times. A simple argument shows that there is no such difference for diffusing particles on a line.

Original languageEnglish
Pages (from-to)351-354
Number of pages4
JournalChemical Physics
Volume146
Issue number3
DOIs
StatePublished - 1 Oct 1990

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