Non-axisymmetric instabilities in shocked adiabatic accretion flows

Details Non-axisymmetric instabilities in shocked adiabatic accretion flows Non-axisymmetric instabilities in shocked adiabatic accretion flows

2005-11-08

arxiv.org/abs/astro-ph/0511211v1

Mon.Not.Roy.Astron.Soc.365:647-652,2006

Astronomy and Astrophysics

Astrophysics

14 pages, 7 figures, accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2005.09750.x

We investigate the linear stability of a shocked accretion flow onto a black hole in the adiabatic limit. Our linear analyses and numerical calculations show that, despite the post-shock deceleration, the shock is generally unstable to non-axisymmetric perturbations. The simulation results of Molteni, T\'oth & Kuznetsov can be well explained by our linear eigenmodes. The mechanism of this instability is confirmed to be based on the cycle of acoustic waves between the corotation radius and the shock. We obtain an analytical formula to calculate the oscillation period from the physical parameters of the flow. We argue that the quasi-periodic oscillation should be a common phenomenon in accretion flows with angular momentum.

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