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The Corrsin conjecture and anomalous transport

Published online by Cambridge University Press:  13 June 2006

O. G. BAKUNIN
Affiliation:
Department of Physics and Astronomy, University of Kansas, Malott Hall 1251 Wescoe Hall Drive, Lawrence, KS 66044, USA ([email protected])

Abstract

The present paper examines several models of turbulent transport in which the use of the Corrsin conjecture is effective. We discuss applying the diffusive approximation of correlation effects for a scaling description of turbulent transport in a system of random drift flows. The renormalization method of quasi-linear equations to treat the diffusion of magnetic force lines is considered. The factorization applied by Corrsin makes it possible to obtain transport estimates on the basis of power approximations of the spatial correlation function. The diffusive approximation of correlation effects is effectively used in percolation and fractal models of anomalous transport. We point out the close relation among the Corrsin conjecture, renormalized quasi-linear equations and scaling estimates in which the characteristic spatial scale also appears to be the diffusive displacement. In the present paper we focus on scaling arguments that play an important role in obtaining the estimates of transport effects.

Type
Papers
Copyright
2006 Cambridge University Press

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