Publication date: Jun 2019
Abstract:
We study behaviour of ionized region of a Keplerian disk orbiting a
Schwarzschild black hole immersed in an asymptotically uniform magnetic
field. In dependence on the magnetic parameter B, and inclination angle
θ of the disk plane with respect to the magnetic field direction, the
charged particles of the ionized disk can enter three regimes: (1)
regular oscillatory motion, (2) destruction due to capture by the
magnetized black hole, (3) chaotic regime of the motion. In order to
study transition between the regular and chaotic type of the charged
particle motion, we generate time series of the solution of equations of
motion under various conditions, and study them by non-linear (box
counting, correlation dimension, Lyapunov exponent, recurrence analysis,
machine learning) methods of chaos determination. We demonstrate that
the machine learning method appears to be the most efficient in
determining the chaotic region of the θ -r space. We show that the
chaotic character of the ionized particle motion increases with the
inclination angle. For the inclination angles θ ̃ 0 whole the ionized
internal part of the Keplerian disk is captured by the black hole.
Authors:
Pánis, Radim; Kološ, Martin; Stuchlík, Zdeněk;