Levy dynamics of enhanced diffusion - Application to turbulence

Details Levy dynamics of enhanced diffusion - Application to turbulence Levy dynamics of enhanced diffusion - Application to turbulence

Publishing date

Mar 1987

URL

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvl..58.1100s&link_type=abstract

Journals

Physical Review Letters (ISSN 0031-9007), vol. 58, March 16, 1987, p. 1100-1103. DARPA-supported research.

Science

Physics

Field

Condensed Matter

SubField

Statistical Mechanics

Additional info 2

293

Additional info 3

Diffusion Theory, Random Walk, Statistical Mechanics, Stochastic Processes, Turbulent Flow, Homogeneous Turbulence, Particle Motion, Probability Theory, Scalars, Statistical Distributions

Type

Scientific paper

Abstract

A stochastic process called a Levy (1937) walk is introduced, which is a random walk with a nonlocal memory coupled in space and in time in a scaling fashion. Levy walks result in enhanced diffusion, i.e., diffusion that grows as t exp a, where a is greater than 1. When applied to the description of a passive scalar diffusing in a fluctuating fluid flow, the model generalizes Taylor's (1921) correlated-walk approach. It yields Richardson's t exp 3 law for the turbulent diffusion of a passive scalar in a Kolmogorov (1941) -5/3 homogeneous turbulent flow and also gives the deviations from the 5/3 exponent resulting from Mandelbrot's (1976) intermittency. The model can be extended to studies of chemical reactions in turbulent flow.

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