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

[11] Superstatistics [J].

Cohen, EGD .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 193 (1-4) :35-52

[12] Turbulence and tsallis statistics [J].

Gotoh, T ;

Kraichnan, RH .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 193 (1-4) :231-244

[13] Higher-order correlations of Tchebyscheff maps [J].

Hilgers, A ;

Beck, C .

PHYSICA D, 2001, 156 (1-2) :1-18

[14] Approach to Gaussian stochastic behavior for systems driven by deterministic chaotic forces [J].

Hilgers, A ;

Beck, C .

PHYSICAL REVIEW E, 1999, 60 (05) :5385-5393

[15] Fluid particle accelerations in fully developed turbulence [J].

La Porta, A ;

Voth, GA ;

Crawford, AM ;

Alexander, J ;

Bodenschatz, E .

NATURE, 2001, 409 (6823) :1017-1019

[16] Velocity structure functions, scaling, and transitions in high-Reynolds-number Couette-Taylor flow [J].

Lewis, GS ;

Swinney, HL .

PHYSICAL REVIEW E, 1999, 59 (05) :5457-5467

[17] Experimental lagrangian acceleration probability density function measurement [J].

Mordant, N ;

Crawford, AM ;

Bodenschatz, E .

PHYSICA D-NONLINEAR PHENOMENA, 2004, 193 (1-4) :245-251

[18] A stochastic Lagrangian model for acceleration in turbulent flows [J].

Pope, SB .

PHYSICS OF FLUIDS, 2002, 14 (07) :2360-2375

[19] Non-extensive statistics and three-dimensional fully developed turbulence [J].

Ramos, FM ;

Rosa, RR ;

Neto, CR ;

Bolzan, MJA ;

Sá, LDA ;

Velho, HFC .

PHYSICA A, 2001, 295 (1-2) :250-253

[20] On the application of nonextensive statistics to Lagrangian turbulence [J].

Reynolds, AM .

PHYSICS OF FLUIDS, 2003, 15 (01) :L1-L4

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