Saturation of the magnetic field above the dynamo threshold

  • F. Pétrélis
  • S. Fauve

Abstract:

We show that the saturation level of the magnetic field generated by a fluid dynamo just above threshold, can be estimated using simple dimensional arguments when the flow is turbulent. We then discuss other scalings by considering the structure of the weakly nonlinear problem above the dynamo threshold. Finally, we compare these predictions with recent experimental results.

PACS. 47.65.+a Magnetohydrodynamics and electrohydrodynamics – 52.65.Kj Magnetohydrodynamic and fluid equation – 91.25.Cw Origins and models of the magnetic field; dynamo theories 

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Copyright information

© EDP Sciences, Springer-Verlag 2001

Authors and Affiliations

  • F. Pétrélis
    • 1
  • S. Fauve
    • 1
  1. 1.Laboratoire de Physique Statistique, École Normale Supérieure, 24 rue Lhomond, 75005 Paris, FranceFR

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