The Corrsin conjecture and anomalous transport

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 he the diffusive displacement. In the present paper we focus on sealing arguments that play an important role in obtaining the estimates of transport effects.