Lévy walks in dynamical systems

J. Klafter, G. Zumofen, M. F. Shlesinger

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate anomalous diffusion generated by iterated maps and analyze the motion in terms of the probabilistic Lévy walks. We present expressions for the mean-squared displacement and for the propagator, which deviate from those for Brownian motion. The theoretical results are corroborated by numerical calculations.

Original languageEnglish
Pages (from-to)222-230
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume200
Issue number1-4
DOIs
StatePublished - 15 Nov 1993
Externally publishedYes

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