Large negative velocity gradients in Burgers turbulence

A. I. Chernykh, Mikhail Stepanov

Research output: Contribution to journalArticle

44 Citations (Scopus)

Abstract

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
Volume64
Issue number2 II
StatePublished - Aug 2001
Externally publishedYes

Fingerprint

Instantons
instantons
Turbulence
turbulence
Gradient
Saddlepoint Approximation
gradients
saddle points
Curvilinear integral
probability density functions
Probability density function
Velocity Field
iteration
Tail
Analytical Solution
velocity distribution
statistics
Statistics
Iteration
Configuration

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Large negative velocity gradients in Burgers turbulence. / Chernykh, A. I.; Stepanov, Mikhail.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 64, No. 2 II, 026306, 08.2001, p. 263061-263069.

Research output: Contribution to journalArticle

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