Scaling laws of turbulent dynamos

Stéphan Fauve; François Pétrélis

doi:10.1016/j.crhy.2006.12.011

Physics/Mathematical physics, theoretical physics

Scaling laws of turbulent dynamos
[Comportements asymptotiques des dynamos turbulentes]

Présenté par : Jacques Villain

Stéphan Fauve ¹ ; François Pétrélis ¹

¹ LPS, CNRS UMR 8550, ENS, 24, rue Lhomond, 75005 Paris, France

Comptes Rendus. Physique, Observation of black holes and extreme gravitational events, Volume 8 (2007) no. 1, pp. 87-92.

Résumé
Abstract

Nous étudions le comportement asymptotique des dynamos engendrées par un écoulement turbulent homogène isotrope et invariant par symétrie plane. Nous montrons que différents comportements asymptotiques simples pour le seuil, l'énergie magnétique et la dissipation Joule peuvent être obtenus en fonction de la valeur du nombre de Prandtl magnétique.

We consider magnetic fields generated by homogeneous isotropic and parity invariant turbulent flows. We show that simple scaling laws for the dynamo threshold, magnetic energy and Ohmic dissipation can be obtained depending on the value of the magnetic Prandtl number.

Reçu le : 2006-12-08
Accepté le : 2006-12-21
Publié le : 2007-01-01

DOI : 10.1016/j.crhy.2006.12.011

Keywords: Dynamo, Turbulence, Magnetic field
Mots-clés : Dynamo, Turbulence, Champ magnétique

Affiliations des auteurs :

Stéphan Fauve ¹ ; François Pétrélis ¹

¹ LPS, CNRS UMR 8550, ENS, 24, rue Lhomond, 75005 Paris, France

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Stéphan Fauve; François Pétrélis. Scaling laws of turbulent dynamos. Comptes Rendus. Physique, Observation of black holes and extreme gravitational events, Volume 8 (2007) no. 1, pp. 87-92. doi : 10.1016/j.crhy.2006.12.011. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2006.12.011/

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