The stability of nonlinear dynamos and the limited role of kinematic growth rates

Details The stability of nonlinear dynamos and the limited role of kinematic growth rates The stability of nonlinear dynamos and the limited role of kinematic growth rates

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...213..411b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 213, no. 1-2, April 1989, p. 411-422.

Astronomy and Astrophysics

Astrophysics

135

Axes Of Rotation, Dynamo Theory, Kinematic Equations, Solar Magnetic Field, Astronomical Models, Nonlinear Equations, Rotating Spheres

Scientific paper

The growth rate behavior of several kinematic dynamo models was investigated in the context of the observation that, as a rule, a magnetic field of a single symmetry dominates in the sun and other cosmic objects. For all dynamo models considered, it is shown that, as the dynamo numbers increase, the kinematic growth rates of fields of different parities are asymptotically equal, indicating that growth rates do not dominate the final state of the field. The possibility that the stability of different solutions of nonlinear dynamos determines the final state was then investigated. Dynamo models in spherical geometry were found in which both symmetric and antisymmetric solutions are stable. The kind of symmetry finally established depends in these cases on the initial conditions, i.e., on the history of the object. It is noted that the basic mechanism stabilizing or destabilizing different solutions is not well understood.

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