Ergodic properties of a model for turbulent dispersion of inertial particles

Abstract

We study a simple stochastic differential equation that models the dispersion of close heavy particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the one-dimensional stationary Schroedinger equation in a random delta-correlated potential. The ergodic properties of the dispersion process are investigated by proving that its generator is hypoelliptic and using control theory.

References in corpus (3)

• Multifractal concentrations of inertial particles in smooth random flows
• Stochastic suspensions of heavy particles
• Fluctuation relation and pairing rule for Lyapunov exponents of inertial particles in turbulence

Cited by in corpus (5)

• The Lyapunov exponent of products of random $2\times 2$ matrices close to the identity
• Localization-delocalization transitions in turbophoresis of inertial particles
• Transition from ergodic to explosive behavior in a family of stochastic differential equations
• Phase transitions in the distribution of inelastically colliding inertial particles
• Stabilization by Noise of a ${\mathbb{C}}^2$-Valued Coupled System