PDF of velocity fluctuation in turbulence by a statistics based on generalized entropy

被引：53

作者：

Arimitsu, T ^{[1
]}

Arimitsu, N

机构：

[1] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan

[2] Yokohama Natl Univ, Grad Sch EIS, Yokohama, Kanagawa 2408501, Japan

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2002年 / 305卷 / 1-2期

关键词：

generalized statistics; multifractal; velocity fluctuation; turbulence; intermittency;

D O I：

10.1016/S0378-4371(01)00665-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An analytical formula for the probability density function (PDF) of the velocity fluctuation in fully-developed turbulence is derived, non-perturbatively, by assuming that its underlying statistics is the one based on the generalized measures of entropy, the Renyi entropy or the Tsallis entropy. The parameters appearing in the PDF, including the index q in the generalized measures, are determined self-consistently with the help of the observed value mu of the intermittency exponent. The derived PDF explains quite well the experimentally observed density functions. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：218 / 226

页数：9

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