ANALOGIES BETWEEN SCALING IN TURBULENCE, FIELD-THEORY, AND CRITICAL PHENOMENA

被引：50

作者：

EYINK, G ^{[1
]}

GOLDENFELD, N ^{[1
]}

机构：

[1] UNIV ILLINOIS, BECKMAN INST, URBANA, IL 61801 USA

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.50.4679

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：

We discuss two distinct analogies between turbulence and field theory. In one analog, the field theory has an infrared attractive renormalization-group fixed point and corresponds to critical phenomena. In the other analog, the field theory has an ultraviolet attractive fixed point, as in quantum chromodynamics. © 1994 The American Physical Society.

引用

收藏

页码：4679 / 4683

页数：5

相关论文

共 28 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]

Barenblatt G, 1979, SIMILARITY SELF SIMI

[3] ANOMALOUS DIMENSIONS OF COMPOSITE OPERATORS NEAR 2 DIMENSIONS FOR FERROMAGNETS WITH O(N) SYMMETRY [J].

BREZIN, E ;

ZINNJUSTIN, J ;

LEGUILLOU, JC .

PHYSICAL REVIEW B, 1976, 14 (11) :4976-4977

[4] RENORMALIZATION OF NONLINEAR SIGMA MODEL IN 2 + EPSILON DIMENSIONS [J].

BREZIN, E ;

ZINNJUSTIN, J ;

GUILLOU, JCL .

PHYSICAL REVIEW D, 1976, 14 (10) :2615-2621

[5]

De Dominicis C., 1976, J PHYS COLLOQUES, V37, P247, DOI [10.1051/jphyscol:1976138, DOI 10.1051/JPHYSCOL:1976138]

[6]

DEGENNES PG, 1975, NATO ADV STUDY I B, V11, P1

[7] MULTIFRACTALS, OPERATOR PRODUCT EXPANSION, AND FIELD-THEORY [J].

DUPLANTIER, B ;

LUDWIG, AWW .

PHYSICAL REVIEW LETTERS, 1991, 66 (03) :247-251

[8]

EYINK G, UNPUB

[9] RENORMALIZATION-GROUP AND OPERATOR PRODUCT EXPANSION IN TURBULENCE - SHELL MODELS [J].

EYINK, GL .

PHYSICAL REVIEW E, 1993, 48 (03) :1823-1838

[10] LAGRANGIAN FIELD-THEORY, MULTIFRACTALS, AND UNIVERSAL SCALING IN TURBULENCE [J].

EYINK, GL .

PHYSICS LETTERS A, 1993, 172 (05) :355-360