One-dimensional stochastic Levy-lorentz gas

One-dimensional stochastic Levy-lorentz gas

We introduce a Levy-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 xi(i) are independent random variables identically distributed according to the probability density function (xi) appro...

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Veröffentlicht in:Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Statistical physics, plasmas, fluids, and related interdisciplinary topics, 2000-02, Vol.61 (2), p.1164-1169
Hauptverfasser: Barkai, E, Fleurov, V, V, Klafter, J
Format: Artikel
Sprache:eng
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Zusammenfassung:We introduce a Levy-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 xi(i) are independent random variables identically distributed according to the probability density function (xi) approximately xi(-(1+gamma)). We show that under certain conditions the mean square displacement of the particle obeys >/=Ct3-gamma for 1
ISSN:1063-651X
1095-3787
DOI:10.1103/PhysRevE.61.1164