Instability of high-frequency acoustic waves in accretion disks with turbulent viscosity

Details Instability of high-frequency acoustic waves in accretion disks with turbulent viscosity Instability of high-frequency acoustic waves in accretion disks with turbulent viscosity

1998-08-22

arxiv.org/abs/astro-ph/9808246v1

Astronomy and Astrophysics

Astrophysics

Plain TeX, 9 pages, 3 figures (GIF), uses cp-aa.tex, Submitted to Astron. Astrophys

Scientific paper

Dynamics of linear perturbations in a differentially rotating accretion disk with non-homogeneous vertical structure is investigated. It has been found that turbulent viscosity results in instability of both pinching oscillations, and bending modes. Not only the low-frequency fundamental modes, but also the high-frequency reflective harmonics appear to be unstable. The question of the limits of applicability of the thin disk model (MTD) is also investigated. The insignificant distinctions in the dispersion properties of MTD and three-dimensional model appear for wave numbers k<(1-3)/h (h is the half-thickness of a disk). In the long-wavelenght limit, the relative difference between eigenfrequencies of the unstable acoustic mode in the 3D-model and the MTD is smaller than 5%.

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