Title:
ANALYSIS OF ACCELERATIONS IN TURBULENCE BASED ON GENERALIZED
STATISTICS
Author(s):
T.Arimitsu (Institute of Physics, University of Tsukuba, Ibaraki
305-8571, Japan; E-mail: arimitsu@cm.ph.tsukuba.ac.jp), N.Arimitsu
Graduate School of EIS, Yokohama Nat'l. University, Kanagawa
240-8501, Japan; E-mail: arimitsu@ynu.ac.jp)
An analytical expression of probability density function (PDF) of accelerations in turbulence is derived with the help of the statistics based on generalized entropy (the Tsallis entropy or the R\'{e}nyi entropy). It is revealed that the derived PDF explains the one obtained by Bodenschatz et al. in the measurement of fluid particle accelerations in fully developed turbulence at $R_\lambda = 970$.
Key words: multifractal analysis, fully developed turbulence, PDF
of fluid particle accelerations, R\'enyi entropy, Tsallis entropy
PACS: 47.27.-i, 47.53.+n, 47.52.+j, 05.90.+m
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