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Three-point correlation function of a scalar mixed by an almost smooth random velocity field

E. Balkovsky·G. Falkovich·V. Lebedev
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Abstract

We demonstrate that if the exponent $γ$ that measures non-smoothness of the velocity field is small then the isotropic zero modes of the scalar's triple correlation function have the scaling exponents proportional to $\sqrtγ$. Therefore, zero modes are subleading with respect to the forced solution that has normal scaling with the exponent $γ$.

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E. Balkovsky, G. Falkovich, V. Lebedev. 1996-12-10. Three-point correlation function of a scalar mixed by an almost smooth random velocity field. https://doi.org/10.1103/physreve.55.r4881

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