Lévy walks in dynamical systems

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

Physica A: Statistical Mechanics and its Applications, 1993, vol. 200, issue 1, 222-230

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:200:y:1993:i:1:p:222-230

DOI: 10.1016/0378-4371(93)90520-E

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