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On the eigenvalues of kinematic α-effect dynamos

✍ Scribed by M. R. E. Proctor

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
524 KB
Volume
298
Category
Article
ISSN
0004-6337

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✦ Synopsis

Abstract

The kinematic α‐effect dynamo problem is investigated in the case of an exterior perfect conductor. It is shown that certain approximate symmetries discovered in the numerical analysis of ROBERTS (1972) are exact for this case. As an illustration, an exact solution is given in a cylindrical geometry, where the equations can be written in terms of one variable. The implications for the earth's dynamo are discussed.

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Oscillating α 2-dynamos and the reversal
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✍ A. Giesecke; G. Rüdiger; D. Elstner 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 664 KB

A geodynamo-model based on an α-effect which has been computed under conditions suitable for the geodynamo is constructed. For a highly restricted class of radial α-profiles the linear α 2 -model exhibits oscillating solutions on a timescale given by the turbulent diffusion time. The basic propertie