The Fourth-Order Correlation Function of a Randomly Advected Passive Scalar
Abstract
Advection of a passive scalar θ in d=2 by a large-scale velocity field rapidly changing in time is considered. The Gaussian feature of the passive scalar statistics in the convective interval was discovered in 95CFKLa. Here we examine deviations from the Gaussianity: we obtain analytically the simultaneous fourth-order correlation function of θ. Explicit expressions for fourth-order objects, like (θ1-θ2)4 are derived.
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