Ergodic properties of a model for turbulent dispersion of inertial particles

Details Ergodic properties of a model for turbulent dispersion of inertial particles Ergodic properties of a model for turbulent dispersion of inertial particles

2010-09-03

arxiv.org/abs/1009.0782v1

Physics

Mathematical Physics

Scientific paper

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.

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