Nonlinear mean-field dynamo models - Stability and evolution of three-dimensional magnetic field configurations

Details Nonlinear mean-field dynamo models - Stability and evolution of three-dimensional magnetic field configurations Nonlinear mean-field dynamo models - Stability and evolution of three-dimensional magnetic field configurations

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...239..413r&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 239, no. 1-2, Nov. 1990, p. 413-423.

Astronomy and Astrophysics

Astrophysics

49

Dynamo Theory, Magnetic Field Configurations, Magnetohydrodynamic Stability, Stellar Magnetic Fields, Astronomical Models, Rotating Environments, Solar Magnetic Field, Stellar Evolution

Scientific paper

The stability and evolution of three-dimensional magnetic field configurations of nonlinear mean-field dynamo models are investigated. A single stable solution showing the same symmetry is found for two models with isotropic alpha effect. A model with anisotropic alpha effect is investigated for which the marginal solution is known to be nonaxisymmetric, and a nonaxisymmetric solution is found to be the only stable one for slightly supercritical dynamo numbers. A stable axisymmetric solution is found for dynamo numbers exceeding a certain value. For even higher dynamo numbers, the nonaxisymmetric solution loses stability to the axisymmetric solution. Mixed parity solutions with periodic time dependence are found for a model with differential rotation in a parameter regime where four different modes are approximately equally excitable.

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