Three-point correlation function of a scalar mixed by an almost smooth random velocity field
E. Balkovsky, G. Falkovich, V. Lebedev
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 γ. Therefore, zero modes are subleading with respect to the forced solution that has normal scaling with the exponent γ.
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