Collisionless kinetic regimes for quasi-stationary axisymmetric accretion disc plasmas

Abstract

This paper is concerned with the kinetic treatment of quasi-stationary axisymmetric collisionless accretion disc plasmas. The conditions of validity of the kinetic description for non-relativistic magnetized and gravitationally-bound plasmas of this type are discussed. A classification of the possible collisionless plasma regimes which can arise in these systems is proposed, which can apply to accretion discs around both stellar-mass compact objects and galactic-center black holes. Two different classifications are determined, which are referred to respectively as energy-based and magnetic field-based classifications. Different regimes are pointed out for each plasma species, depending both on the relative magnitudes of kinetic and potential energies and the magnitude of the magnetic field. It is shown that in all cases, there can be quasi-stationary Maxwellian-like solutions of the Vlasov equation. The perturbative approach outlined here permits unique analytical determination of the functional form for the distribution function consistent, in each kinetic regime, with the explicit inclusion of finite Larmor radius-diamagnetic and/or energy-correction effects.

arXiv comment13 pages

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Cited by in corpus (8)

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• Covariant formulation of spatially non-symmetric kinetic equilibria in magnetized astrophysical plasmas
• Carter-constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems
• Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria
• Polytropic representation of the kinetic pressure tensor of non-ideal magnetized fluids in equilibrium toroidal structures
• Asymptotic orderings and approximations of the Master kinetic equation for large hard spheres systems