Apparent scale correlations in a random multifractal process

J. Cleve (), J. Schmiegel and M. Greiner

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 63, issue 1, 109-116

Abstract: We discuss various properties of a homogeneous random multifractal process, which are related to the issue of scale correlations. By design, the process has no built-in scale correlations. However, when it comes to observables like breakdown coefficients, which are based on a coarse-graining of the multifractal field, scale correlations do appear. In the log-normal limit of the model process, the conditional distributions and moments of breakdown coefficients reproduce the observations made in fully developed small-scale turbulence. These findings help to understand several puzzling empirical details, which have been extracted from turbulent data already some time ago. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Keywords: 47.27.eb Statistical theories and models, 47.27.Gs Isotropic turbulence; homogeneous turbulence, 47.53.+n Fractals in fluid dynamics, 02.50.Ey Stochastic processes, 02.50.Ga Markov processes, (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1140/epjb/e2008-00218-6

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