Alpha-squared-dynamos and Taylor's constraint

Details Alpha-squared-dynamos and Taylor's constraint Alpha-squared-dynamos and Taylor's constraint

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gapfd..27...87s&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics (ISSN 0309-1929), vol. 27, no. 1-2, 1983, p. 87-122.

Mathematics

30

Dynamo Theory, Geodynamics, Taylor Instability, Branching (Mathematics), Kinematics, Magnetohydrodynamics, Suction

Scientific paper

An idealized alpha-squared-omega dynamo is considered in which the alpha-effect is prescribed. The mathematical statement of the plane layer dynamo is given. The shear is assumed to be constant in magnitude; the resulting kinematic dynamo is the two-dimensional analog of an axisymmetric problem considered by Proctor (1975). The magnetic field magnitudes for the situations when alpha-star is close to alpha(c)-star and to alpha(T)-star, and when it is close to neither of these values are obtained. They show that a smooth transition may occur from the small amplitude states at alpha-star = alpha(c)-star to the large amplitude states at alpha-star = alpha(T)-star. In some cases, however, the transition is not possible, and Taylor solutions must be approached by a finite amplitude instability.

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