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
收藏
页码:2722 / 2735
页数:14
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