Intermittent dissipation of a passive scalar in turbulence

被引:63
作者
Chertkov, M [1 ]
Falkovich, G
Kolokolov, I
机构
[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA
[2] Weizmann Inst Sci, IL-76100 Rehovot, Israel
[3] Inst Adv Study, Princeton, NJ 08540 USA
[4] Budker Inst Nucl Phys, Novosibirsk 630090, Russia
关键词
D O I
10.1103/PhysRevLett.80.2121
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The probability density function (PDF) of passive scalar dissipation P(epsilon) is found analytically in the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime) in two dimensions. The tail of PDF at epsilon >> [epsilon] is shown to be stretched exponent ln P(epsilon) proportional to epsilon(1/3); at epsilon << [epsilon], P proportional to 1/root epsilon.
引用
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页码:2121 / 2124
页数:4
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