期刊
PHYSICAL REVIEW LETTERS
卷 92, 期 22, 页码 -出版社
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevLett.92.224501
关键词
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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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