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25 April 2024
 
  » arxiv » cond-mat/9607006

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Velocity fluctuations in forced Burgers turbulence
J.-P. Bouchaud ; M. Mezard ;
Date 1 Jul 1996
Subject Condensed Matter; Chaotic Dynamics | cond-mat chao-dyn hep-th nlin.CD
AbstractWe 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.
Source arXiv, cond-mat/9607006
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