Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-18
Phys.Rev.Lett. 93 (2004) 044501
Physics
Condensed Matter
Statistical Mechanics
5 pages, 4 figures, submitted to PRL
Scientific paper
10.1103/PhysRevLett.93.044501
We use singular value decomposition techniques to generalize the wavelet transform modulus maxima method to the multifractal analysis of vector-valued random fields. The method is calibrated on synthetic multifractal 2D vector measures and monofractal 3D fractional Brownian vector fields. We report the results of some application to the velocity and vorticity fields issued from 3D isotropic turbulence simulations. This study reveals the existence of an intimate relationship between the singularity spectra of these two vector fields which are found significantly more intermittent than previously estimated from longitudinal and transverse velocity increment statistics.
Arneodo Alain
Kestener Pierre
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