title: Dynamics of inertial particles in a random flow with strong permanent shear.
abstract: We consider advection of small inertial particles by a random fluid flow with a strong steady shear component. It is known that inertial particles suspended in a random flow can exhibit clusterization even if the flow is incompressible. We study this phenomenon through statistical characteristics of a separation vector between two particles. As usual in a random flow, moments of distance between particles grow exponentially. We calculate the rates of this growth using saddle-point approximation in path-integral formalism. We also calculate the correction to the Lyapunov exponent due to small inertia by perturbation theory expansion.
authors.affiliation: Landau Institute for Theoretical Physics RAS, 119334, Kosygina 2, Moscow, Russia.
authors.forename: Grigory A
authors.initials: GA
authors.lastname: Sizov