Lévy walk approach to anomalous diffusion

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

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 1, 637-645

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.

Date: 1990
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:1:p:637-645

DOI: 10.1016/0378-4371(90)90416-P

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