Lévy walks in dynamical systems

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

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

Lévy walks in dynamical systems

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	222-230
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	200
Issue number	1-4
DOIs	https://doi.org/10.1016/0378-4371(93)90520-E
State	Published - 15 Nov 1993
Externally published	Yes

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title = "L{\'e}vy walks in dynamical systems",

abstract = "We investigate anomalous diffusion generated by iterated maps and analyze the motion in terms of the probabilistic L{\'e}vy 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.",

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Lévy walks in dynamical systems

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