Phys. Rev. Lett. 78, 1452–1455 (1997)Intermittency of Burgers' TurbulenceReceived 10 September 1996; published in the issue dated 24 February 1997 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) = ∂xku, the general formula is found: lnP(|u(k)|)∝-(|u(k)|/Rek)3/(k+1). © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.1452
DOI:
10.1103/PhysRevLett.78.1452
PACS:
47.27.Ak, 03.40.Kf
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