Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

@inproceedings{Gawdzki2011ErgodicPO,
title={Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles},
author={Krzysztof Gawȩdzki and David P. Herzog and Jan Wehr},
year={2011}
}

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 Schrödinger equation in a random δ-correlated potential. The ergodic properties of the dispersion process are investigated by proving that its generator is hypoelliptic and using control theory.

Lyapunov exponent for inertial particles in the 2D Kraichnan model as a problem of Anderson localization with complex valued potential, http://arxiv.org/abs/nlin/0511023v1 [nlin.co