The stability of slim accretion disks

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Thermal Stability, X Ray Binaries, Active Galactic Nuclei, Stellar Mass, Thin Bodies

Scientific paper

The conditions of stability are investigated theoretically for slim accretion disks in parameter space, and the results from the unstable modes are compared to observed variability in compact sources. The generalized Hurwitz conditions for stability are applied to slim disk theory to compare solutions of the dispersion relation with standard solutions. Slim disks tend toward stabilization against the classical thermal and viscous instabilities because the drift timescale decreases for smaller radii and/or higher accretion rates. A special relationship between the surface density and the accretion rate is identified in the slim disks which is partly unstable. The thermal and the acoustic instability frequencies for the inner region are developed for a 10 solar-mass central object; the results appear to be consistent with the normal- and horizontal-branch oscillations observed in X-ray binaries.

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