Large negative velocity gradients in Burgers turbulence

A. I. Chernykh; M. G. Stepanov

Large negative velocity gradients in Burgers turbulence

A. I. Chernykh
, M. G. Stepanov

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Article number	026306
Pages (from-to)	263061-263069
Number of pages	9
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	2 II
State	Published - Aug 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Cite this

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title = "Large negative velocity gradients in Burgers turbulence",

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.",

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AB - 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.

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M3 - Article

AN - SCOPUS:17744403743

SN - 1539-3755

VL - 64

SP - 263061

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 2 II

M1 - 026306

ER -

Large negative velocity gradients in Burgers turbulence

Abstract

ASJC Scopus subject areas

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