The nonlinear turbulent dynamo in the accretion disks of black holes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Dynamo Theory, Plasma Turbulence, Helical Flow, Magnetic Fields, Rotating Plasmas

Scientific paper

To determine the maximum value which can be reached by the large scale magnetic field in the accretion disk of black holes, the nonlinear equations of the turbulent dynamo, where the sources of field generation are the differential rotation and the helicity of the turbulent pulsations of the medium, are investigated. Using a phenomenological approach, the nonlinear expression of the average helicity of turbulence is deduced. As in objects with strong differential rotation, helicity is affected by an inverse influence of magnetic field. Using the expression for average nonlinear helicity, it is shown that the energy of large scale toroidal magnetic fields in accretion disks of black holes become comparable with the thermal energy of the medium.

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