Intermittency of Burgers' turbulence

被引：104

作者：

Balkovsky, E

Falkovich, G

Kolokolov, I

Lebedev, V

机构：

[1] BUDKER INST NUCL PHYS, NOVOSIBIRSK 630090, RUSSIA

[2] LD LANDAU THEORET PHYS INST, MOSCOW 117940, RUSSIA

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.78.1452

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation is employed in the path integral so that the calculation of the PDF tails boils down to finding the special field-force configuration (instanton) that realizes the extremum of probability. For the PDFs of velocity and its derivatives u((k)) = partial derivative(x)(k)u, the general formula is found: In P(\u((k))\) proportional to -(\u((k))\/Re-k)(3/(k+1)).

引用

页码：1452 / 1455

页数：4

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