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Intermittent dissipation of a passive scalar in turbulence

M. Chertkov·G. Falkovich·I. Kolokolov
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Abstract

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

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M. Chertkov, G. Falkovich, I. Kolokolov. 1997-09-02. Intermittent dissipation of a passive scalar in turbulence. https://doi.org/10.1103/physrevlett.80.2121

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