Lévy walk approach to anomalous diffusion

J. Klafter*, A. Blumen, G. Zumofen, M. F. Shlesinger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The transport properties of Lévy walks are discussed in the framework of continuous time random walks (CTRW) with coupled memories. This type of walks may lead to anomalous diffusion where the mean squared displacement 〈r2(t)〉∼tα with α≠1. We focus on the enhanced diffusion limit, α>1, in one dimension and present our results on 〈r2(t)〉, the mean number of distinct sites visited S(t) and P(r, t), the probability of being at position r at time t.

Original languageEnglish
Pages (from-to)637-645
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume168
Issue number1
DOIs
StatePublished - 1 Sep 1990

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