Experimental Lagrangian Acceleration Probability Density Function Measurement

Nicolas Mordant; Alice M. Crawford; Eberhard Bodenschatz

doi:10.1016/j.physd.2004.01.041

paper

Experimental Lagrangian Acceleration Probability Density Function Measurement

arXiv:physics/0303003 · doi:10.1016/j.physd.2004.01.041

Abstract

We report experimental results on the acceleration component probability distribution function at $R_{λ} = 690$ to probabilities of less than $1 0^{- 7}$ . This is an improvement of more than an order of magnitude over past measurements and allows us to conclude that the fourth moment converges and the flatness is approximately 55. We compare our probability distribution to those predicted by several models inspired by non-extensive statistical mechanics. We also look at acceleration component probability distributions conditioned on a velocity component for conditioning velocities as high as 3 times the standard deviation and find them to be highly non-Gaussian.

submitted for the special issue of Physica D: "Anomalous Distributions" 11 pages, 6 figures revised version: light modifications of the figures and the text

Experimental Lagrangian Acceleration Probability Density Function Measurement

Abstract

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