Ergodic properties of a model for turbulent dispersion of inertial particles
arXiv:1009.0782 · doi:10.1007/s00220-011-1343-5
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.