Analysis of accelerations in turbulence based on generalized statistics

• Published in: Condensed Matter Physics
• Date: 2003
• Main Authors: Arimitsu, T., Arimitsu, N.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/120696
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Analysis of accelerations in turbulence based on generalized statistics / T. Arimitsu, N. Arimitsu // Condensed Matter Physics. — 2003. — Т. 6, № 1(33). — С. 85-92. — Бібліогр.: 28 назв. — англ.

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 Ren´ yi entropy). It is revealed that the derived PDF explains the one obtained by Bodenschatz et al. i...