Notes about Passive Scalar in Large-Scale Velocity Field

Abstract

We consider advection of a passive scalar theta(t,r) by an incompressible large-scale turbulent flow. In the framework of the Kraichnan model the whole PDF's (probability distribution functions) for the single-point statistics of theta and for the passive scalar difference theta(r1)-theta(r2) (for separations r1-r2 lying in the convective interval) are found.

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