Instanton for random advection

被引：72

作者：

Chertkov, M ^{[1
]}

机构：

[1] WEIZMANN INST SCI,DEPT PHYS COMPLEX SYST,IL-76100 REHOVOT,ISRAEL

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.55.2722

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：

A path integral over trajectories of 2n fluid particles is identified with a 2nth order correlation function of a passive scalar convected by d-dimensional short-correlated multiscale incompressible random velocity flow. Strong intermittency of the scalar is described by means of an instanton calculus (saddle point plus fluctuations about it) in the path integral at n much greater than d. The anomalous scaling exponent of the 2nth scalar's structural function is found analytically.

引用

页码：2722 / 2735

页数：14

共 28 条

[1] TEMPERATURE STRUCTURE FUNCTIONS IN TURBULENT SHEAR FLOWS [J].

ANTONIA, RA ;

HOPFINGER, EJ ;

GAGNE, Y ;

ANSELMET, F .

PHYSICAL REVIEW A, 1984, 30 (05) :2704-2707

[2]

BALKOVSKY E, 1995, JETP LETT+, V61, P1049

[3]

BALKOVSKY E, IN PRESS PHYS REV LE

[4] Anomalous scaling in the N-point functions of a passive scalar [J].

Bernard, D ;

Gawedzki, K ;

Kupiainen, A .

PHYSICAL REVIEW E, 1996, 54 (03) :2564-2572

[5] EXACT FIELD-THEORETICAL DESCRIPTION OF PASSIVE SCALAR CONVECTION IN AN N-DIMENSIONAL LONG-RANGE VELOCITY-FIELD [J].

CHERTKOV, M ;

GAMBA, A ;

KOLOKOLOV, I .

PHYSICS LETTERS A, 1994, 192 (5-6) :435-443

[6] Anomalous scaling exponents of a white-advected passive scalar [J].

Chertkov, M ;

Falkovich, G .

PHYSICAL REVIEW LETTERS, 1996, 76 (15) :2706-2709

[7] Nonuniversality of the scaling exponents of a passive scalar convected by a random flow [J].

Chertkov, M ;

Falkovich, G ;

Lebedev, V .

PHYSICAL REVIEW LETTERS, 1996, 76 (20) :3707-3710

[8] EQUILIBRIUM DYNAMICS OF A PARAMAGNETIC CLUSTER [J].

CHERTKOV, M ;

KOLOKOLOV, I .

PHYSICAL REVIEW B, 1995, 51 (06) :3974-3977

[9] NORMAL AND ANOMALOUS SCALING OF THE 4TH-ORDER CORRELATION-FUNCTION OF A RANDOMLY ADVECTED PASSIVE SCALAR [J].

CHERTKOV, M ;

FALKOVICH, G ;

KOLOKOLOV, I ;

LEBEDEV, V .

PHYSICAL REVIEW E, 1995, 52 (05) :4924-4941

[10]

De Dominicis C., 1976, J PHYS-PARIS, V37, pC1, DOI [10.1051/jphyscol:1976138, DOI 10.1051/JPHYSCOL:1976138]

← 1 2 3 →