Scaling exponents in fully developed turbulence from nonextensive statistical mechanics

被引：21

作者：

Beck, C ^{[1
]}

机构：

[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2001年 / 295卷 / 1-2期

关键词：

Tsallis entropies; fully developed turbulence; scaling behavior;

D O I：

10.1016/S0378-4371(01)00073-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We combine Tsallis statistics with extended selfsimilarity to calculate scaling exponents of moments in a nonextensive statistical model of fully developed turbulence. One obtains numerical Values of scaling; exponents that agree very well with experimental data. Our approach is based on a scale-dependent nonextensitivity parameter q > 1 and call be embedded into previously successful models for probability densities of velocity differences. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：195 / 200

页数：6

共 18 条

[1] Axioms and uniqueness theorem for Tsallis entropy [J].

Abe, S .

PHYSICS LETTERS A, 2000, 271 (1-2) :74-79

[2] 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

[3] Tsallis statistics and fully developed turbulence [J].

Arimitsu, T ;

Arimitsu, N .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (27) :L235-L241

[4] Analysis of fully developed turbulence in terms of Tsallis statistics [J].

Arimitsu, T ;

Arimitsu, N .

PHYSICAL REVIEW E, 2000, 61 (03) :3237-3240

[5] Application of generalized thermostatistics to fully developed turbulence [J].

Beck, C .

PHYSICA A, 2000, 277 (1-2) :115-123

[6] Measuring nonextensitivity parameters in a turbulent Couette-Taylor flow [J].

Beck, C ;

Lewis, GS ;

Swinney, HL .

PHYSICAL REVIEW E, 2001, 63 (03) :353031-353034

[7] Exponents of the structure functions in a low temperature helium experiment [J].

Belin, F ;

Tabeling, P ;

Willaime, H .

PHYSICA D-NONLINEAR PHENOMENA, 1996, 93 (1-2) :52-63

[8] EXTENDED SELF-SIMILARITY IN TURBULENT FLOWS [J].

BENZI, R ;

CILIBERTO, S ;

TRIPICCIONE, R ;

BAUDET, C ;

MASSAIOLI, F ;

SUCCI, S .

PHYSICAL REVIEW E, 1993, 48 (01) :R29-R32

[9]

Bohr T., 1998, DYNAMICAL SYSTEMS AP

[10]

Frisch U., 1995, TURBULENCE LEGACY AN

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