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

Abstract

We demonstrate that if the exponent $\gamma$ 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 $\sqrt{\gamma }$. Therefore, zero modes are subleading with respect to the forced solution that has normal scaling with the exponent $\gamma$.

13 pages, RevTeX 3.0

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