Analysis of accelerations in turbulence based on generalizaed statistics

Details Analysis of accelerations in turbulence based on generalizaed statistics Analysis of accelerations in turbulence based on generalizaed statistics

2002-03-12

arxiv.org/abs/cond-mat/0203240v3

Physics

Condensed Matter

Statistical Mechanics

7 pages, 1 figure

Scientific paper

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 R\'{e}nyi 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 $R_\lambda = 970$.

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