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.