Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

Krzysztof Gawȩdzki, David P. Herzog, Jan Wehr

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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 languageEnglish (US)
Pages (from-to)49-80
Number of pages32
JournalCommunications in Mathematical Physics
Volume308
Issue number1
DOIs
StatePublished - Nov 2011

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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