Europhys. Lett.
Volume 47, Number 2, July 1999
Page(s) 152 - 157
Section General
Published online 01 December 2003
DOI: 10.1209/epl/i1999-00350-5

Europhys. Lett, 47 (2), pp. 152-157 (1999)

Drude approach to anomalous diffusion: Application to Richardson dispersion in turbulent flows

I. M. Sokolov 1, A. Blumen 1 and J. Klafter 2

1 Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder Straße 3
D-79104 Freiburg i.Br., Germany
2 School of Chemistry, Tel Aviv University - Tel Aviv 69978, Israel

(received 4 February 1999; accepted in final form 19 May 1999)

PACS. 05.40${\rm -a}$ - Fluctuation phenomena, random processes, noise, and Brownian motion.
PACS. 47.27Qb - Turbulent diffusion.


We investigate two-particle dispersion in fully developed turbulence within a Lévy-walk stochastic model using a generalized Drude approach. Different from one-particle pictures we focus here on the time evolution of the relative distance between two particles. Based on the Kolmogorov-Obukhov energy spectrum and on the temporal correlations in the flow the Richardson t3-law follows as a Lévy-type enhancement of rare events.


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