The power law range for the velocity gradient probability density function in forced Burgers turbulence has been an issue of intense discussion recently. It is shown in E and Vanden Eijnden, Phys. Rev. Lett. 83, 2572 (1999) that the negative exponent in the assumed power law range has to be strictly larger than 3. Here we give another direct argument for that result, working with finite viscosity. At the same time we discuss viscous corrections to the power law range. This should answer the questions raised in Kraichnan, Phys. Fluids 11, 3738 (1999) regarding the results of E and Vanden Eijnden, Phys. Rev. Lett. 83 2572 (1999). (C) 2000 American Institute of Physics.
All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
- Fluid Flow and Transfer Processes