Steady dynamos in finite domains: an integral equation approach

Details Steady dynamos in finite domains: an integral equation approach Steady dynamos in finite domains: an integral equation approach

2000-01-31

arxiv.org/abs/astro-ph/0001524v1

Astron.Nachr.321:65-73,2000

Astronomy and Astrophysics

Astrophysics

18 pages, submitted to Astron. Nachr

Scientific paper

10.1002/(SICI)1521-3994(200003)3

The paper deals with the integral equation approach to steady kinematic dynamo models in finite domains based on Biot-Savart's law. The role of the electric potential at the boundary is worked out explicitly. As an example, a modified version of the simple spherical $\alpha$-effect dynamo model proposed by Krause and Steenbeck is considered in which the $\alpha$-coefficient is no longer constant but may vary with the radial coordinate. In particular, the results for the original model are re-derived. Possible applications of this integral equation approach for numerical simulations of dynamos in arbitrary geometry and for an ''inverse dynamo theory'' are sketched.

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