Strong Imbalanced Turbulence

Details Strong Imbalanced Turbulence Strong Imbalanced Turbulence

2007-09-05

arxiv.org/abs/0709.0554v2

Astronomy and Astrophysics

Astrophysics

this is shorter, 5 page version of what is to appear in ApJ 682, Aug. 1, 2008

Scientific paper

10.1086/589428

We consider stationary, forced, 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. We propose that critical balance, which was originally conceived as a causality argument, has to be amended by what we call a propagation argument. This revised formulation of critical balance is able to handle the imbalanced case and reduces to old formulation in the balanced case. We also provide phenomenological model of energy cascading and discuss possibility of self-similar solutions in a realistic setup of driven turbulence.

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