On the pulsational overstability in narrowly confined viscous rings

Statistics – Computation

Scientific paper

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Accretion Disks, Computational Astrophysics, Pulsed Radiation, Shear Stress, Stability, Active Galactic Nuclei, Binary Stars, Energy Transfer, Planetary Systems, Star Formation, Time Dependence

Scientific paper

Viscous accretion disks and rings are subject to pulsational overstability if the effective viscous stress is a rapidly increasing function of the disks' (or rings') surface density. Such a phenomenon is induced by the transfer of energy from shear to normal mode oscillations through viscous stress. The paper examines the global response of viscous accretion disks or rings to pulsational overstabilities. The analytic and preliminary numerical results indicate that all modes with wavelength longer than the scale height of the disk or ring are overstable. From the results, some examples of the complex time-dependent structure which may be induced by this overstability are illustrated. Finally, results are applied to narrow planetary rings to address the issues of maintenance of uniform precession and origin of eccentricity.

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