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

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

1996-12-10

arxiv.org/abs/chao-dyn/9612017v1

Phys. Rev. E, 55, 4881, (1997)

Nonlinear Sciences

Chaotic Dynamics

13 pages, RevTeX 3.0

Scientific paper

10.1103/PhysRevE.55.R4881

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 $\gamma$.

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