A note on Burgers' turbulence
S. Boldyrev
Abstract
In this note the Polyakov equation [Phys. Rev. E 52 (1995) 6183] for the velocity-difference PDF, with the exciting force correlation function κ(y)1-yα is analyzed. Several solvable cases are considered, which are in a good agreement with available numerical results. Then it is shown how the method developed by A. Polyakov can be applied to turbulence with short-scale-correlated forces, a situation considered in models of self-organized criticality.
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