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 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.
Original language | English (US) |
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Pages (from-to) | 49-80 |
Number of pages | 32 |
Journal | Communications in Mathematical Physics |
Volume | 308 |
Issue number | 1 |
DOIs | |
State | Published - Nov 2011 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics