Velocity fluctuations in forced Burgers turbulence

被引:40
作者
Bouchaud, JP
Mezard, M
机构
[1] ECOLE NORMALE SUPER, PHYS THEOR LAB, CNRS, UNITE PROPRE, F-75231 PARIS 05, FRANCE
[2] UNIV PARIS 11, ORSAY, FRANCE
关键词
D O I
10.1103/PhysRevE.54.5116
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 propose a simple method to compute the velocity difference statistics in forced Burgers turbulence in any dimension. Within a reasonable assumption concerning the nucleation and coalescence of shocks, we suggest, particular, that the ''left'' tail of the distribution may decay as an inverse square power, which is compatible with numerical data. Our results are compared to those of various recent approaches: instantons, operator product expansion, and replicas.
引用
收藏
页码:5116 / 5121
页数:6
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