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Condensed Matter > Statistical Mechanics

arXiv:cond-mat/0302602 (cond-mat)
[Submitted on 28 Feb 2003 (v1), last revised 18 Mar 2004 (this version, v2)]

Title:A three-dimensional wavelet based multifractal method : about the need of revisiting the multifractal description of turbulence dissipation data

Authors:Pierre Kestener, Alain Arneodo
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Abstract: We generalize the wavelet transform modulus maxima (WTMM) method to multifractal analysis of 3D random fields. This method is calibrated on synthetic 3D monofractal fractional Brownian fields and on 3D multifractal singular cascade measures as well as their random function counterpart obtained by fractional integration. Then we apply the 3D WTMM method to the dissipation field issue from 3D isotropic turbulence simulations. We comment on the need to revisiting previous box-counting analysis which have failed to estimate correctly the corresponding multifractal spectra because of their intrinsic inability to master non-conservative singular cascade measures.
Comments: 5 pages, 3figures, submitted to Phys. Rev. Lett
Subjects: Statistical Mechanics (cond-mat.stat-mech); Chaotic Dynamics (nlin.CD)
Cite as: arXiv:cond-mat/0302602 [cond-mat.stat-mech]
  (or arXiv:cond-mat/0302602v2 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.cond-mat/0302602
Journal reference: Phys. Rev. Lett., 91:194501, 2003
Related DOI: https://doi.org/10.1103/PhysRevLett.91.194501

Submission history

From: Pierre Kestener [view email]
[v1] Fri, 28 Feb 2003 09:29:11 UTC (424 KB)
[v2] Thu, 18 Mar 2004 14:44:07 UTC (431 KB)
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