Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

Krzysztof Gawȩdzki; David P. Herzog; Jan Wehr

doi:10.1007/s00220-011-1343-5

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 language	English (US)
Pages (from-to)	49-80
Number of pages	32
Journal	Communications in Mathematical Physics
Volume	308
Issue number	1
DOIs	https://doi.org/10.1007/s00220-011-1343-5
State	Published - Nov 2011

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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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 Schr{\"o}dinger 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.",

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AB - 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.

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Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

Abstract

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