title: Multifractal clustering in compressible flows.
abstract: 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.
authors.affiliation: Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA.
authors.forename: Jérémie
authors.initials: J
authors.lastname: Bec
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Gawedzki
authors.forename: Péter
authors.initials: P
authors.lastname: Horvai