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Phys. Rev. Lett. 80, 2121–2124 (1998)

Intermittent Dissipation of a Passive Scalar in Turbulence

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M. Chertkov1, G. Falkovich2, and I. Kolokolov3
1Physics Department, Princeton University, Princeton, New Jersey 08544
2Institute for Advanced Study, Princeton, New Jersey and Weizmann Institute, Rehovot, Israel
3Budker Institute of Nuclear Physics, Novosibirsk 630090, Russia

Received 3 September 1997; published in the issue dated 9 March 1998

The probability density function (PDF) of passive scalar dissipation P(ε) is found analytically in the limit of large Peclet and Prandtl numbers (Batchelor-Kraichnan regime) in two dimensions. The tail of PDF at ε≫〈ε〉 is shown to be stretched exponent lnP(ε)∝ε1/3; at ε≪〈ε〉, P∝1/√ε.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.2121
DOI:
10.1103/PhysRevLett.80.2121
PACS:
47.27.-i, 05.40.+j, 47.10.+g
 
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