VELOCITY FLUCTUATIONS IN FORCED BURGERS TURBULENCE

Authors
BOUCHAUD JP MEZARD M
Citation
Jp. Bouchaud et M. Mezard, VELOCITY FLUCTUATIONS IN FORCED BURGERS TURBULENCE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 5116-5121
Citations number
29
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
54
Issue
5
Year of publication
1996
Pages
5116 - 5121
Database
ISI
SICI code
1063-651X(1996)54:5<5116:VFIFBT>2.0.ZU;2-N
Abstract
We propose a simple method to compute the velocity difference statisti cs in forced Burgers turbulence in any dimension. Within a reasonable assumption concerning the nucleation and coalescence of shocks, we sug gest, 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: instan tons, operator product expansion, and replicas.