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Lévy walk approach to anomalous diffusion

✍ Scribed by J. Klafter; A. Blumen; G. Zumofen; M.F. Shlesinger

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
359 KB
Volume
168
Category
Article
ISSN
0378-4371

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✦ Synopsis

The transport properties of L6vy 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))~ t ~ with ct ~ 1. We focus on the enhanced diffusion limit, ct > 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.

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