Analysis of the Effect of a Mean Velocity Field on Mean Field Dynamo

Details Analysis of the Effect of a Mean Velocity Field on Mean Field Dynamo Analysis of the Effect of a Mean Velocity Field on Mean Field Dynamo

2007-04-17

arxiv.org/abs/0704.2217v1

Physics

Plasma Physics

9 pages, 10 figures, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2007.11863.x

We study semi-analytically and in a consistent manner, the generation of a mean velocity field $\bar{\mathbf{U}}$ by helical MHD turbulence, and the effect that this field can have on a Mean Field Dynamo. Assuming a prescribed, maximally helical small scale velocity field, we show that large scale flows can be generated in MHD turbulent flows, via small scale Lorentz force. These flows back-react on the mean electromotive force of a Mean Field Dynamo through new terms, leaving the original $\alpha $ and $\beta $ terms explicitly unmodified. Cross-helicity plays the key role in interconnecting all the effects. In the minimal $\tau$ closure that we chose to work with, the effects are stronger for large relaxation times.

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