Velocity fluctuations in forced Burgers turbulence
Condensed Matter
2009-10-28 v1 chao-dyn
High Energy Physics - Theory
Chaotic Dynamics
Abstract
We propose a simple method to compute the velocity difference statistics in forced Burgers turbulence in any dimension. Within a reasonnable assumption concerning the nucleation and coalescence of shocks, we find in particular that the `left' tail of the distribution decays 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, replicas.
Keywords
Cite
@article{arxiv.cond-mat/9607006,
title = {Velocity fluctuations in forced Burgers turbulence},
author = {J. -P. Bouchaud and M. Mezard},
journal= {arXiv preprint arXiv:cond-mat/9607006},
year = {2009}
}
Comments
10 pages latex, one postcript figure