Intermittent distribution of tracers advected by a compressible random flow

Jeremie Bec; Krzysztof Gawedzki; Peter Horvai

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Intermittent distribution of tracers advected by a compressible random flow

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arxiv nlin/0310015 v1 pith:DATLWWVX submitted 2003-10-13 nlin.CD cond-mat.stat-mech

Jeremie Bec , Krzysztof Gawedzki , Peter Horvai This is my paper

classification nlin.CDcond-mat.stat-mech

keywords compressibleadvectedflowpropertiesrandomanalyticalattractorcalculations

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Multifractal properties of a tracer density passively advected by a compressible random velocity field are characterized. A relationship is established between the statistical properties of mass on the dynamical fractal attractor towards which the trajectories converge and large deviations of the stretching rates of the flow. In the framework of the compressible Kraichnan model, this result is illustrated by analytical calculations and confirmed by numerical simulations.

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