Article Dans Une Revue Physical Review Letters Année : 2003

Multifractal Clustering in Compressible Flows

Résumé

A quantitative relationship is found between the multifractal properties of the asymptotic mass distribution in a random dissipative system and the long-time fluctuations of the local stretching rates of the dynamics. It captures analytically the fine aspects of the strongly intermittent clustering of dynamical trajectories. Applied to a simple compressible hydrodynamical model with known stretching-rate statistics, the relation produces a nontrivial spectrum of multifractal dimensions that is confirmed numerically.

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Dates et versions

hal-01399318 , version 1 (12-01-2022)

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Jérémie Bec, Krzysztof Gawȩdzki, Péter Horvai. Multifractal Clustering in Compressible Flows. Physical Review Letters, 2003, 92 (22), ⟨10.1103/PhysRevLett.92.224501⟩. ⟨hal-01399318⟩
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