Behaviour of highly supercritical alpha-effect dynamos

Details Behaviour of highly supercritical alpha-effect dynamos Behaviour of highly supercritical alpha-effect dynamos

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...238..369m&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 238, no. 1-2, Nov. 1990, p. 369-376.

Physics

Atomic Physics

19

Computational Astrophysics, Dynamo Theory, Stellar Activity, Magnetic Fields, Partial Differential Equations, Quenching (Atomic Physics)

Scientific paper

The behavior of alpha-squared-dynamos is discussed for highly supercritical dynamo numbers, with alpha-quenching assumed to be the dominant nonlinearity. Particular attention is paid to a one-dimensional reduction of the dynamo equations. For sufficiently high dynamo numbers both steady and time-dependent solutions (limit cycles) are possible. The basins of attraction of these solutions depend on the dynamo number as well as on the degree of the nonlinearity assumed. For extreme nonlinearities the limit-cycle solutions, at particular time instants (turning points), closely approach the steady solutions. In this case some noise of small but finite amplitude may cause transitions between the limit-cycle and the steady solutions. This leads to an irregular time-behavior including nearly steady stages as well as reversals of the magnetic polarity.

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