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The Helicity Issue in Large Scale Dynamos

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Turbulence and Magnetic Fields in Astrophysics

Part of the book series: Lecture Notes in Physics ((LNP,volume 614))

Abstract

The connection between helically isotropic MHD turbulence and mean-field dynamo theory is reviewed. The nonlinearity in the mean-field theory is not yet well established, but detailed comparison with simulations begin to help select viable forms of the nonlinearity. The crucial discriminant is the magnetic helicity, which is known to evolve only on a slow resistive time scale in the limit of large magnetic Reynolds number. Particular emphasis is put on the possibility of memory effects, which means that an additional explicitly time-dependent equation for the nonlinearity is solved simultaneously with the mean-field equations. This approach leads to better agreement with the simulations, while it would also produce more favorable agreement between models and stellar dynamos.

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Authors and Affiliations

  1. NORDITA, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark

    Axel Brandenburg

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  1. Axel Brandenburg
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Editors and Affiliations

  1. Laboratoire de Radioastronomie, Ecole Normale Supérieure, 24, Rue Lhomond, 75231, Paris Cedex 05, France

    Edith Falgarone

  2. Observatoire de la Côte d’azur, CNRS, B.P.4229, 06304, Nice Cédex 4, France

    Thierry Passot

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Brandenburg, A. (2003). The Helicity Issue in Large Scale Dynamos. In: Falgarone, E., Passot, T. (eds) Turbulence and Magnetic Fields in Astrophysics. Lecture Notes in Physics, vol 614. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36238-X_15

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  • DOI: https://doi.org/10.1007/3-540-36238-X_15

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