Intermittent dissipation of a passive scalar in turbulence

Abstract

Probability density function (PDF) of passive scalar dissipation $\mathcal{P}(\epsilon )$ is found analytically in the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime) in two dimensions. The tail of PDF at $\epsilon \gg <\epsilon >$ is shown to be stretched exponent $\ln \mathcal{P}(\epsilon )\propto {\epsilon }^{1/3}$. At $\epsilon \ll <\epsilon >$, $\mathcal{P}\propto 1/\sqrt{\epsilon }$.

4 pages, RevTeX 3.0, Submitted to Phys. Rev. Lett

References in corpus (1)

• Inverse cascade and intermittency of passive scalar in 1d smooth flow

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