Local stability of thick accretion disks. I - Basic equations and parallel perturbations in the negligible viscosity case

Astronomy and Astrophysics – Astrophysics

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Accretion Disks, Astronomical Models, Dynamic Stability, Plasma Dynamics, Rotating Bodies, Astronomical Catalogs, Conservation Equations, Stellar Rotation, Temperature Effects, Thickness, Viscous Flow

Scientific paper

The authors describe a general approach to the stability of axisymmetric rotating non-self-gravitating bodies to local perturbations, and then specialize to systems such as thick accretion disks, where viscosity is negligible. A detailed analysis of the case where velocity perturbations are parallel to the non-azimuthal flow is carried out by examining the dominant terms in the fifth order dispersion relation. It is found that the stability criteria applicable in different regimes are close analogs of the Hoiland condition, and that oscillations similar to the g- and p-modes in stars exist in thick disks.

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