Velocity fluctuations in forced Burgers turbulence
arXiv:cond-mat/9607006 · doi:10.1103/PhysRevE.54.5116
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.
10 pages latex, one postcript figure