Fourth-order correlation function of a randomly advected passive scalar
Abstract
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.
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- June 1995
- DOI:
- 10.48550/arXiv.chao-dyn/9508002
- arXiv:
- arXiv:chao-dyn/9508002
- Bibcode:
- 1995JETPL..61.1049B
- Keywords:
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- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 4 pages, RevTex 3.0, To appear in JETP Lett. {\bf 61}, (1995)