On the possibility of exciting one-armed corrugation waves in relativistic accretion disks

Statistics – Computation

Scientific paper

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Accretion Disks, Stellar Oscillations, X Ray Binaries, Computational Astrophysics, Perturbation Theory, Stability

Scientific paper

The present study examines the possibility of exciting one-armed corrugation waves by viscous processes in geometrically thin, polytropic disks for the case where the radial wavelength of the waves is shorter than the radial scale of the disk, but longer than the disk thickness. The viscosity is assumed to have a given functional dependence on density and temperature. The results show that, in the innermost region of relativistic disks, one-armed corrugation waves are very close to neutral stability (slightly damped), even though they are highly damped in the outer region where the disks are nonrelativistic. This result depends only slightly on parameters specifying the disks and the functional form of viscosity. The closeness to neutral stability in relativistic disks results from the fact that since the epicyclic frequency is low there, a density variation is essentially associated with the waves.

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