PDF's of the Burgers equation on the semiline with fluctuating flux at the origin
Abstract
We derive the asymptotic behavior of the one point probability density for the inhomogeneous shock slopes in the turbulent regime, when a Gaussian fluctuating flux at origin derives the system. We also calculate the time dependence of the xf beyond which there won't exist any velocity shocks as xf≅ t3/4(log t) 1/4.
- Publication:
-
Physics Letters A
- Pub Date:
- June 1999
- DOI:
- 10.1016/S0375-9601(99)00285-6
- arXiv:
- arXiv:cond-mat/9808002
- Bibcode:
- 1999PhLA..257..158D
- Keywords:
-
- BURGERS TURBULENCE;
- DISORDERED SYSTEMS;
- STOCHASTIC PROCESSES;
- Condensed Matter - Soft Condensed Matter;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Chaotic Dynamics
- E-Print:
- 10 paged Text, 2 Postscript figures