Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers

Details Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers Problems with kinematic mean field electrodynamics at high magnetic Reynolds numbers

2008-05-14

arxiv.org/abs/0805.2138v1

Mon. Not. R. Astron Soc. 395, L48 (2009)

Astronomy and Astrophysics

Astrophysics

5 pages, LaTeX, no figures

Scientific paper

10.1111/j.1745-3933.2009.00639.x

We discuss the applicability of the kinematic $\alpha$-effect formalism at high magnetic Reynolds numbers. In this regime the underlying flow is likely to be a small-scale dynamo, leading to the exponential growth of fluctuations. Difficulties arise with both the actual calculation of the $\alpha$ coefficients and with its interpretation. We argue that although the former may be circumvented -- and we outline several procedures by which the the $\alpha$ coefficients can be computed in principle -- the interpretation of these quantities in terms of the evolution of the large-scale field may be fundamentally flawed.

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