The Fourth-Order Correlation Function of a Randomly Advected Passive Scalar

Details The Fourth-Order Correlation Function of a Randomly Advected Passive Scalar The Fourth-Order Correlation Function of a Randomly Advected Passive Scalar

1995-08-04

arxiv.org/abs/chao-dyn/9508002v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, RevTex 3.0, To appear in JETP Lett. {\bf 61}, (1995)

Scientific paper

Advection of a passive scalar $\theta$ 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 \cite{95CFKLa}. Here we examine deviations from the Gaussianity: we obtain analytically the simultaneous fourth-order correlation function of $\theta$. Explicit expressions for fourth-order objects, like $\langle(\theta_1-\theta_2)^4\rangle$ are derived.

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