On the accreting tori sequences in Ringed Accretion Disks models. Polytropic equations of state and toroidal magnetic fields

TL;DR

This paper models ringed accretion disks around Kerr black holes, analyzing their structure and stability considering polytropic fluids and magnetic fields, advancing understanding of their complex dynamics.

Contribution

It introduces a leading function for the inner structure of RADs, incorporating magnetic fields and hydro-mechanical instabilities, extending previous hydrodynamical models.

Findings

Derived the RAD inner structure function.

Analyzed stability with magnetic fields.

Compared hydrodynamical and magnetized models.

Abstract

We consider ringed accretion disks (RADs), representing models of aggregates of corotating and counterrotating toroids orbiting a central Kerr super-massive black hole (SMBH). We comment on system of two-tori governed by the polytropic equation of state and including a toroidal magnetic field. We found the RADs leading function describing the RAD inner structure and governing the distribution of orbiting toroidal structures and the emergence of the (hydro-mechanical) instabilities in the disk. We perform this analysis first in pure hydrodynamical models by considering one-specie perfect fluid toroids and then by considering the contribution of toroidal magnetic field.