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