Velocity fluctuations in forced Burgers turbulence
- 1 November 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 54 (5) , 5116-5121
- https://doi.org/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 reasonable assumption concerning the nucleation and coalescence of shocks, we suggest, in 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. © 1996 The American Physical Society.Keywords
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This publication has 16 references indexed in Scilit:
- The Large Scale Energy Landscape of Randomly Pinned ObjectsJournal de Physique I, 1996
- Turbulence without pressurePhysical Review E, 1995
- Scaling and intermittency in Burgers turbulencePhysical Review E, 1995
- Energy decay in Burgers turbulence and interface growth: The problem of random initial conditions. IIPhysical Review E, 1994
- Interface growth and Burgers turbulence: The problem of random initial conditionsPhysical Review E, 1993
- On the multifractal properties of the energy dissipation derived from turbulence dataJournal of Fluid Mechanics, 1992
- Dynamic Scaling of Growing InterfacesPhysical Review Letters, 1986
- Quelques aspects statistiques des processus d'aimantation dans les corps ferromagnétiques. Cas du déplacement d'une seule paroi de Bloch à 180° dans un milieu monocristallin aléatoirement perturbéRevue de Physique Appliquée, 1981
- Asymptotic properties of Burgers turbulenceJournal of Fluid Mechanics, 1979
- The Nonlinear Diffusion EquationPublished by Springer Nature ,1974