Particles and fields in fluid turbulence

被引:981
作者
Falkovich, G [1 ]
Gawedzki, K
Vergassola, M
机构
[1] Weizmann Inst Sci, IL-76100 Rehovot, Israel
[2] IHES, CNRS, F-91940 Bures Sur Yvette, France
[3] Ecole Normale Super Lyon, F-69364 Lyon, France
[4] Observ Cote Azur, CNRS, UMR 6529, F-06304 Nice, France
关键词
D O I
10.1103/RevModPhys.73.913
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The understanding of fluid turbulence has considerably progressed in recent years. The application of the methods of statistical mechanics to the description of the motion of fluid particles, i.e., to the Lagrangian dynamics, has led to a new quantitative theory of intermittency in turbulent transport. The first analytical description of anomalous scaling laws in turbulence has been obtained. The underlying physical mechanism reveals the role of statistical integrals of motion in nonequilibrium systems. For turbulent transport, the statistical conservation laws are hidden in the evolution of groups of fluid particles and arise from the competition between the expansion of a group and the change of its geometry. By breaking the scale-invariance symmetry, the statistically conserved quantities lead to the observed anomalous scaling of transported fields. Lagrangian methods also shed new light on some practical issues, such as mixing and turbulent magnetic dynamo.
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收藏
页码:913 / 975
页数:63
相关论文
共 252 条
[1]   CONDUCTIVITY OF QUASI-ONE-DIMENSIONAL METAL SYSTEMS [J].
ABRIKOSOV, AA ;
RYZHKIN, IA .
ADVANCES IN PHYSICS, 1978, 27 (02) :147-230
[2]  
Adzhemyan L. T., 1999, The Field Theoretic Renormalization Group in Fully Developed Turbulence
[3]  
Adzhemyan L. Ts., 1989, Soviet Physics - JETP, V68, P733
[4]   Anomalous scaling of a passive scalar in the presence of strong anisotropy [J].
Adzhemyan, LT ;
Antonov, NV ;
Hnatich, M ;
Novikov, SV .
PHYSICAL REVIEW E, 2001, 63 (01)
[5]   Renormalization group, operator product expansion, and anomalous scaling in a model of advected passive scalar [J].
Adzhemyan, LT ;
Antonov, NV ;
Vasil'ev, AN .
PHYSICAL REVIEW E, 1998, 58 (02) :1823-1835
[6]   Renormalization group and anomalous scaling in a simple model of passive scalar advection in compressible flow [J].
Adzhemyan, LT ;
Antonov, NV .
PHYSICAL REVIEW E, 1998, 58 (06) :7381-7396
[7]  
Adzhemyan LT, 2001, PHYS REV E, V63, DOI 10.1103/PhysRevE.63.025303
[8]   Shell model for time-correlated random advection of passive scalars [J].
Andersen, KH ;
Muratore-Ginanneschi, P .
PHYSICAL REVIEW E, 1999, 60 (06) :6663-6681
[9]  
[Anonymous], 1977, NEW PHENOMENA SUBNUC
[10]  
[Anonymous], 1972, S MATH