Intermittency of Burgers' Turbulence
Abstract
We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian largescale force. The saddlepoint approximation is employed in the path integral so that the calculation of the PDF tails boils down to finding the special fieldforce configuration (instanton) that realizes the extremum of probability. For the PDFs of velocity and its derivatives u^{\(k\)} = ∂^{k}_{x}u, the general formula is found: lnP\(\u^{\(k\)}\\)~\(\u^{\(k\)}\/Re^{k}\)^{3/\(k+1\)}.
 Publication:

Physical Review Letters
 Pub Date:
 February 1997
 DOI:
 10.1103/PhysRevLett.78.1452
 arXiv:
 arXiv:chaodyn/9609005
 Bibcode:
 1997PhRvL..78.1452B
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics;
 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 4 pages, RevTeX 3.0, short version of chaodyn/9603015, submitted to Phys. Rev. Lett