Lévy dynamics of enhanced diffusion: Application to turbulence

M. F. Shlesinger*, B. J. West, J. Klafter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce a stochastic process called a Lévy walk which is a random walk with a nonlocal memory coupled in space and in time in a scaling fashion. Lévy walks result in enhanced diffusion, i.e., diffusion that grows as t±,±>1. When applied to the description of a passive scalar diffusing in a fluctuating fluid flow the model generalizes Taylors correlated-walk approach. It yields Richardsons t3 law for the turbulent diffusion of a passive scalar in a Kolmogorov -(5/3) homogeneous turbulent flow and also gives the deviations from the (5/3) exponent resulting from Mandelbrots intermittency. The model can be extended to studies of chemical reactions in turbulent flow.

Original languageEnglish
Pages (from-to)1100-1103
Number of pages4
JournalPhysical Review Letters
Issue number11
StatePublished - 1987
Externally publishedYes


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