Superstatistics in hydrodynamic turbulence

被引：74

作者：

Beck, C ^{[1
]}

机构：

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

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2004年 / 193卷 / 1-4期

关键词：

superstatistics; generalized statistical mechanics; turbulence models;

D O I：

10.1016/j.physd.2004.01.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Superstatistics is a 'statistics of a statistics' relevant for driven nonequilibrium systems with fluctuating intensive parameters. It contains Tsallis statistics as a special case. We show that probability density functions of velocity differences and accelerations measured in Eulerian and Lagrangian turbulence experiments are well reproduced by simple superstatistics models. We compare fits obtained for log-normal superstatistics and chi(2)-superstatistics (= Tsallis statistics). (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：195 / 207

页数：13

共 26 条

[1] Nonextensive thermodynamic relations [J].

Abe, SY ;

Martínez, S ;

Pennini, F ;

Plastino, A .

PHYSICS LETTERS A, 2001, 281 (2-3) :126-130

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

Arimitsu, T ;

Arimitsu, N .

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

[3] Multifractal analysis of fluid particle accelerations in turbulence [J].

Arimitsu, T ;

Arimitsu, N .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 193 (1-4) :218-230

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

Beck, C .

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

[5] Lagrangian acceleration statistics in turbulent flows [J].

Beck, C .

EUROPHYSICS LETTERS, 2003, 64 (02) :151-157

[6] Superstatistics [J].

Beck, C ;

Cohen, EGD .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 322 (1-4) :267-275

[7] Dynamical foundations of nonextensive statistical mechanics [J].

Beck, C .

PHYSICAL REVIEW LETTERS, 2001, 87 (18) :180601-1

[8] On the small-scale statistics of Lagrangian turbulence [J].

Beck, C .

PHYSICS LETTERS A, 2001, 287 (3-4) :240-244

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

Beck, C ;

Lewis, GS ;

Swinney, HL .

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

[10] VELOCITY PROBABILITY DENSITY-FUNCTIONS OF HIGH REYNOLDS-NUMBER TURBULENCE [J].

CASTAING, B ;

GAGNE, Y ;

HOPFINGER, EJ .

PHYSICA D, 1990, 46 (02) :177-200

← 1 2 3 →