### 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 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*,

*308*(1), 49-80. https://doi.org/10.1007/s00220-011-1343-5

**Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles.** / Gawȩdzki, Krzysztof; Herzog, David P.; Wehr, Jan.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 308, no. 1, pp. 49-80. https://doi.org/10.1007/s00220-011-1343-5

}

TY - JOUR

T1 - Ergodic Properties of a Model for Turbulent Dispersion of Inertial Particles

AU - Gawȩdzki, Krzysztof

AU - Herzog, David P.

AU - Wehr, Jan

PY - 2011/11

Y1 - 2011/11

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=80054110391&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80054110391&partnerID=8YFLogxK

U2 - 10.1007/s00220-011-1343-5

DO - 10.1007/s00220-011-1343-5

M3 - Article

AN - SCOPUS:80054110391

VL - 308

SP - 49

EP - 80

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -