Key points are not available for this paper at this time.
The dynamics of velocity fluctuations, governed by the one-dimensional Burgers equation, driven by a white-in-time random force f with the spatial spectrum (k) ^2k^-1, is considered. High-resolution numerical experiments conducted in this work give the energy spectrum E (k) k^- with =5/30. 02. The observed two-point correlation function C (k, ) reveals k^z with the ``dynamic exponent'' z2/3. High-order moments of velocity differences show strong intermittency and are dominated by powerful large-scale shocks. The results are compared with predictions of the one-loop renormalized perturbation expansion.
Chekhlov et al. (Sat,) studied this question.