Dynamo action in turbulent accretion discs around black holes. I - The fluctuations. II - The mean magnetic field

Astronomy and Astrophysics – Astronomy

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Black Holes (Astronomy), Dynamo Theory, Stellar Magnetic Fields, Stellar Mass Accretion, Internal Energy, Magnetic Variations, Magnetohydrodynamics, Nonrelativistic Mechanics, Plasma Turbulence, Steady State, Vacuum

Scientific paper

The reported investigation is concerned with an application of the concepts of mean field electrodynamics to the general problem of magnetohydrodynamics in turbulent accretion discs. If the magnetic field in such a disk is decomposed into large-scale mean, and microscale fluctuating components, then the correlation of velocity and magnetic fluctuations gives rise to new terms in the induction equation for the mean magnetic field. A large turbulent diffusivity for the mean field may arise. In addition, if the turbulence possesses helicity, it is possible for a mean magnetic field to grow via the action of a turbulent dynamo. The magnetic fluctuations arise from the twisting of lines of mean field by localized velocity fluctuations. The interaction of velocity, thermal, and magnetic fluctuations in a turbulent accretion disk are examined. A great number of additional effects arise when magnetic fields are included. Attention is given to the energy balance, under stationary conditions, between the various fluctuating fields. An analysis is conducted concerning the generation of a mean magnetic field in the disk, taking into account associated basic physics, the exact steady-state solutions for the mean induction equation, and the matching of these solutions to an exterior vacuum magnetic field.

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