Mathematics – Logic
Scientific paper
Dec 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007agufmsh33b..03b&link_type=abstract
American Geophysical Union, Fall Meeting 2007, abstract #SH33B-03
Mathematics
Logic
2149 Mhd Waves And Turbulence (2752, 6050, 7836), 4490 Turbulence (3379, 4568, 7863), 7863 Turbulence (4490)
Scientific paper
We consider imbalanced, or cross-helical MHD Alfvenic turbulence where the waves traveling in one direction have higher amplitudes than the opposite waves. This paper is dedicated to so-called strong turbulence, which cannot be treated perturbatively. Our main result is that the anisotropy of the weak waves is stronger than the anisotropy of a strong waves. This seemingly contradicts the conventional interpretation of so-called critical balance (Goldreich & Sridhar 1995). We propose that critical balance, that was originally conceived as a causality argument, has to be amended by what we call a propagation argument. This revised formulation is consistent with the old one in the balanced case, and is able to include the imbalanced case. We also provide phenomenological model of energy cascading and discuss possibility of self-similar solutions in a realistic setup of driven turbulence.
Beresnyak Andrey
Lazarian Alex
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