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 - Fluctuation phenomena, random
processes, noise, and Brownian
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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