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Article

Intermittency in Burgers' Turbulence

Physical Review Letters. 1997. Vol. 78. No. 8. P. 1452-1455.
Kolokolov I., Lebedev V., Falkovich G., Balkovsky E.

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)=kxu, the general formula is found: lnP(|u(k)|)(|u(k)|/Rek)3/(k+1).