Abstract
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 , the general formula is found: .
- Received 10 September 1996
DOI:https://doi.org/10.1103/PhysRevLett.78.1452
©1997 American Physical Society