Phenomenological Gaussian screening in the nonextensive statistics approach to fully developed turbulence

Abstract

We propose a simple phenomenological modification, a Gaussian screening, of the probability distribution function which was obtained by Beck to explain experimentally measured distribution from fully developed fluid turbulence, within the framework of nonextensive statistical mechanics. The modified distribution provides a good fit to new experimental results on the acceleration of fluid particles reported by Crawford, Mordant, and Bodenschatz. Theoretical foundations of such a modification requires a separate study.

RevTeX4, 2 pages, twocolumn, 1 figure (2 eps files); v2. Misprints in Eqs.(2) and (3) corrected

Cited by in corpus (4)

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• Stochastic models of Lagrangian acceleration of fluid particle in developed turbulence
• Skewness of probability density functions of fluid particle acceleration in developed turbulence
• The conditional mean acceleration of fluid particle in developed turbulence