One-dimensional stochastic Lévy-Lorentz gas

E. Barkai, V. Fleurov, J. Klafter

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


We introduce a Lévy-Lorentz gas in which a light particle is scattered by static point scatterers arranged on a line. We investigate the case where the intervals between scatterers [Formula Presented] are independent random variables identically distributed according to the probability density function [Formula Presented] We show that under certain conditions the mean square displacement of the particle obeys [Formula Presented] for [Formula Presented] This behavior is compatible with a renewal Lévy walk scheme. We discuss the importance of rare events in the proper characterization of the diffusion process.

Original languageEnglish
Pages (from-to)1164-1169
Number of pages6
JournalPhysical Review E
Issue number2
StatePublished - 2000
Externally publishedYes


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