Three-point correlation function of a scalar mixed by an almost smooth random velocity field

被引:15
作者
Balkovsky, E [1 ]
Falkovich, G [1 ]
Lebedev, V [1 ]
机构
[1] LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA
关键词
D O I
10.1103/PhysRevE.55.R4881
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 demonstrate that if the exponent gamma that measures nonsmoothness of the velocity field is small then the isotropic zero modes of the scalar's triple correlation function have the scaling exponents proportional to root gamma. Therefore, zero modes are subleading with respect to the forced solution that has normal scaling with the exponent gamma.
引用
收藏
页码:R4881 / R4884
页数:4
相关论文
共 20 条
[1]  
BALKOVSKY E, 1995, JETP LETT+, V61, P1049
[3]   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
[4]   STATISTICS OF A PASSIVE SCALAR ADVECTED BY A LARGE-SCALE 2-DIMENSIONAL VELOCITY-FIELD - ANALYTIC SOLUTION [J].
CHERTKOV, M ;
FALKOVICH, G ;
KOLOKOLOV, I ;
LEBEDEV, V .
PHYSICAL REVIEW E, 1995, 51 (06) :5609-5627
[5]   Anomalous scaling exponents of a white-advected passive scalar [J].
Chertkov, M ;
Falkovich, G .
PHYSICAL REVIEW LETTERS, 1996, 76 (15) :2706-2709
[6]   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
[7]   NONLOCAL VORTICITY CASCADE IN 2 DIMENSIONS [J].
FALKOVICH, G ;
LEBEDEV, V .
PHYSICAL REVIEW E, 1994, 49 (03) :R1800-R1804
[8]   Nonperturbative zero modes in the Kraichnan model for turbulent advection [J].
Gat, O ;
Lvov, VS ;
Podivilov, E ;
Procaccia, I .
PHYSICAL REVIEW E, 1997, 55 (04) :R3836-R3839
[9]  
GAT O, CHAODYN9610016
[10]  
GAWEDZKI A, 1995, PHYS REV LETT, V75, P3608