1996/10/13 by Stanislav Boldyrev, S. Boldyrev · 1 citation
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Complex Systems and Time Series Analysis #Fluid Dynamics and Turbulent Flows #Statistical Mechanics and Entropy #chao-dyn #hep-th #nlin.CD
paper · pdf · doi:10.1103/physreve.55.6907
published as Phys.Rev. E55 (1997) 6907 · 11 pages, Latex
arxiv created 1996/10/13 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper the Polyakov equation [Phys. Rev. E 52, 6183 (1995)] for the velocity-difference probability density functions, with the random Gaussian external force, with the correlation function \ensuremathκ(y)\ensuremath∼1-y^\mathrm\ensuremathα, is analyzed. Solutions for the cases \ensuremathα=2,1/2,1 are found, which agree very well with available numerical results. It is also argued that the stationary regime of Burgers turbulence can depend not only on the distribution of the external force, but also on the dissipative regularization.