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Particle dispersion in stochastic flows with linear shear

Leonid Piterbarg
University of Southern California
(Abstract received 06/13/2009 for session B)
ABSTRACT

Absolute and relative dispersion are investigated for two types of stochastic flows with a linear drift, the Brownian flow, which implies delta-correlated velocity fluctuations, and the first order Markov flow with memory characterized by finite correlation time. It is shown that anisotropy of absolute dispersion is completely determined by anisotropy of the drift while its magnitude depends on both, drift and velocity fluctuation statistics. In contrast, anisotropy of the relative dispersion is strongly affected by the fluctuation statistics and the crucial parameter is the normal correlation length.

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