Three-point correlation function of a scalar mixed by an almost smooth   random velocity field
  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 $\gamma$. 
E. Balkovsky, G. Falkovich, and V. Lebedev