Phys. Rev. Lett. 92, 224501 (2004) [4 pages]Multifractal Clustering in Compressible FlowsReceived 13 October 2003; published 4 June 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.92.224501
DOI:
10.1103/PhysRevLett.92.224501
PACS:
47.53.+n, 05.40.–a, 05.45.–a, 47.52.+j
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