Analysis of accelerations in turbulence based on generalizaed statistics

2002/03/12 by Toshihico Arimitsu, Arimitsu, Toshihico, Naoko Arimitsu +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0203240

7 pages, 1 figure

arxiv created 2003/01/06 · arxiv updated 2009/11/30

Abstract

An analytical expression of probability density function (PDF) of accelerations in turbulence is derived with the help of the multifractal analysis based on generalized entropy, i.e., the Tsallis or the Rényi entropy. It is shown that the derived PDF explains quite well the one obtained by Bodenschatz and coworkers in the measurement of fluid particle accelerations in the Lagrangian frame at R_λ= 970.

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