Torus Dynamos for Galaxies and Accretion Disks - Part One - the Axisymmetric Omega-Dynamo Embedded Into Vacuum

Details Torus Dynamos for Galaxies and Accretion Disks - Part One - the Axisymmetric Omega-Dynamo Embedded Into Vacuum Torus Dynamos for Galaxies and Accretion Disks - Part One - the Axisymmetric Omega-Dynamo Embedded Into Vacuum

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...273..405d&link_type=abstract

Astronomy and Astrophysics, Vol.273, NO. 2/JUNII, P. 405, 1993

Astronomy and Astrophysics

Astrophysics

8

Scientific paper

Accretion disks around compact objects as well as the gaseous components in galaxies often have the form of a torus. To study the structure and behaviour of magnetic fields generated in such rings, a kinematic α ω-dynamo is investigated which is working inside a torus embedded into vacuum. The axisymmetric dynamo equations are solved by series expansion into exponential decay modes of slender tori, which are available analytically. A linear, homogeneous system of equations follows for the expansion coefficients: its eigenvalues determine the time-dependence of the dynamo solutions. Modes symmetric and antisymmetric with respect to the equatorial plane are obtained separately. The results are presented for different excitation conditions. By far the most easily excited dynamo mode is stationary and of quadrupolar symmetry. This basic mode appears for negative dynamo numbers and could he responsible for the axisymmetric field observed in spiral galaxies like M 31 or IC 342. Quadrupolar modes for positive dynamo numbers as well as all excited dipolar modes are of an oscillatory nature. They need considerably stronger excitation than the stationary solution and are not expected under galactic conditions, but they might play a role in accretions disks around compact objects.

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