Gaussian factor in the distribution arising from the nonextensive statistics approach to fully developed turbulence

Details Gaussian factor in the distribution arising from the nonextensive statistics approach to fully developed turbulence Gaussian factor in the distribution arising from the nonextensive statistics approach to fully developed turbulence

2003-01-06

arxiv.org/abs/cond-mat/0301040v3

Physics

Condensed Matter

Statistical Mechanics

RevTeX4, 12 pages, 2 figure (3 eps files)

Scientific paper

We propose a simple modification, the Gaussian truncation, of the probability density function which was obtained by Beck (2001) to fit the experimental distribution of fluid particle acceleration component from fully developed fluid turbulence inspired by the framework of nonextensive statistical mechanics with the underlying gamma distribution of the model parameter. The modified distribution is given a phenomenological treatment and provides a good fit to new experimental results on the acceleration of fluid particle reported by Crawford, Mordant, and Bodenschatz. We compare the results with the new fit which was recently obtained by Beck (2002) with the use of the underlying log-normal distribution of the model parameter.

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