Large negative velocity gradients in Burgers turbulence

A. I. Chernykh, M. G. Stepanov

Research output: Contribution to journalArticle

44 Scopus citations


The remote left tail of the velocity gradients probability density function (PDF) in Burgers forced turbulence was analyzed by saddle point approximation in the path integral describing the velocity statistics. The velocity field configuration realizing the maximum of probability was studied numerically. The analytical solution for the long-time part of the instanton was studied numerically. Direct solving of instanton equations by iterations were also demonstrated.

Original languageEnglish (US)
Article number026306
Pages (from-to)263061-263069
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number2 II
StatePublished - Aug 1 2001


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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