Analysis of fully developed turbulence in terms of Tsallis statistics

被引：101

作者：

Arimitsu, T ^{[1
]}

Arimitsu, N

机构：

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

[2] Yokohama Natl Univ, Dept Comp Engn, Kanagawa 2408501, Japan

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.61.3237

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The analysis of the fully developed turbulence with the help of the binomial multiplicative process is reinvestigated from the standpoint of Tsallis nonextensive statistics in order to provide some insight in understanding the underlying physical meaning of the Tsallis ensemble. The formula is derived which relates Tsallis index q with the intermittency exponent mu that is a manifestation of multifractality of the sizes of eddies. It is shown that the probability density function of the local dissipation of turbulent kinetic energy can be represented by a distribution function of the type in Tsallis statistics with the index q determined by the experimentally observable quantity mu through the derived formula.

引用

页码：3237 / 3240

页数：4

共 15 条

[1] HIGH-ORDER VELOCITY STRUCTURE FUNCTIONS IN TURBULENT SHEAR FLOWS [J].

ANSELMET, F ;

GAGNE, Y ;

HOPFINGER, EJ ;

ANTONIA, RA .

JOURNAL OF FLUID MECHANICS, 1984, 140 (MAR) :63-89

[2] Power-law sensitivity to initial conditions within a logisticlike family of maps: Fractality and nonextensivity [J].

Costa, UMS ;

Lyra, ML ;

Plastino, AR ;

Tsallis, C .

PHYSICAL REVIEW E, 1997, 56 (01) :245-250

[3]

Feder J., 1988, FRACTALS

[4] SIMPLE DYNAMICAL MODEL OF INTERMITTENT FULLY DEVELOPED TURBULENCE [J].

FRISCH, U ;

SULEM, PL ;

NELKIN, M .

JOURNAL OF FLUID MECHANICS, 1978, 87 (AUG) :719-736

[5] INTERMITTENCY OF DISSIPATION IN A DIRECTLY SIMULATED FULLY-DEVELOPED TURBULENCE [J].

HOSOKAWA, I ;

YAMAMOTO, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (02) :401-404

[6]

Kolmogorov A.N., 1941, CR ACAD SCI USSR, V30, P538

[7] A REFINEMENT OF PREVIOUS HYPOTHESES CONCERNING THE LOCAL STRUCTURE OF TURBULENCE IN A VISCOUS INCOMPRESSIBLE FLUID AT HIGH REYNOLDS NUMBER [J].

KOLMOGOROV, AN .

JOURNAL OF FLUID MECHANICS, 1962, 13 (01) :82-85

[8] Nonextensivity and multifractality in low-dimensional dissipative systems [J].

Lyra, ML ;

Tsallis, C .

PHYSICAL REVIEW LETTERS, 1998, 80 (01) :53-56

[9] SIMPLE MULTIFRACTAL CASCADE MODEL FOR FULLY-DEVELOPED TURBULENCE [J].

MENEVEAU, C ;

SREENIVASAN, KR .

PHYSICAL REVIEW LETTERS, 1987, 59 (13) :1424-1427

[10]

Meneveau C., 1987, Nuclear Physics B, Proceedings Supplements, V2, P49, DOI 10.1016/0920-5632(87)90008-9

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