Navigation   about theory   people   projects   publications   review   simulations   home		Renormalized Dissipation in the Nonconservatively Forced Burgers Equation Author: John A. Krommes Date of PPPL Report: January 2000 Submitted to: Plasmas of Physics A previous calculation of the renormalized dissipation in the nonconservatively forced one-dimensional Burgers equation, which encountered a catastrophic long-wavelength divergence approximately [kmin]-3 , is reconsidered. In the absence of velocity shear, analysis of the eddy-damped quasi-normal Markovian closure predicts only a benign logarithmic dependence on kmin. The original divergence is traced to an inconsistent resonance-broadening type of diffusive approximation, which fails in the present problem. Ballistic scaling of renormalized pulses is retained, but such scaling does not, by itself, imply a paradigm of self-organized criticality. An improved scaling formula for a model with velocity shear is also given.
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