Multifractal clustering in compressible flows

被引：62

作者：

Bec, J

Gawedzki, K

Horvai, P

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

[2] Observ Cote Azur, Dept Cassiopee, F-06304 Nice 4, France

[3] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[4] Ecole Normale Super Lyon, Phys Lab, CNRS, F-69364 Lyon 7, France

[5] Ecole Polytech, Ctr Phys Theor, F-91128 Palaiseau, France

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 92卷 / 22期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.92.224501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：224501 / 1

页数：4

共 14 条

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Arnold L., 1998, Springer Monographs in Mathematics

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