Passive scalar in a large-scale velocity field

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