Dynamo Action in Turbulent Accretion Discs around Black Holes - Part Two - the Mean Magnetic Field

Astronomy and Astrophysics – Astronomy

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Scientific paper

The presence of strong differential rotation and vertical density gradients in thin accretion discs allows the generation of a large-scale, mean magnetic field by αω dynamo action.
Analytic expressions for the preferred steady-state solutions are found, which when matched on to an exterior vacuum field show that the class of quadrupole modes (Bφ and Br even, and Bz odd functions of z) are most easily excited. The critical dynamo number of this mode is |Q*e,c1/3 = 2.4, corresponding to a turbulent Mach number of Met = 0.19.

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