The disk dynamo

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamo Theory, Galactic Structure, Interstellar Magnetic Fields, Rotating Fluids, Turbulent Flow, Astronomical Models, Cosmology, Disks (Shapes), X Ray Sources

Scientific paper

The simplest alpha-omega dynamo in a thin disk is analyzed. If the antisymmetric helicity function alpha(z) (where z is a coordinate perpendicular to the disk plane) is smooth and limited, then the conditions for generating a magnetic field and the symmetry of the resulting solutions depend only on the form of alpha at the segment (O, h) where h is the half-thickness of the disk - and the value of the dimensionless dynamo number D. The old exact solutions of the disk alpha-omega dynamo are studied and new ones are found. The results can be of importance when applied to the problem of the generation of a magnetic field in galactic and turbulent disks appearing around some X-ray sources.

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