Diffusion and Clustering of Low-inertia Tracers in Random Hydrodynamic Flow with Fast Rotation

Abstract

We consider the diffusion of the low-inertia density field in random divergence-free hydrodynamic flows with fast rotation. The principal feature of this diffusion is the divergence of the density velocity field, which results in clustering of the density field. We calculate the statistical parameters that characterized cluster formation on the ideas of statistical topography.