Multifractal clustering in compressible flows.
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.
Bec
Jérémie
J
Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA.
Gawedzki
Krzysztof
K
Horvai
Péter
P