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Stability of radiation-pressure dominated disks: I. the dispersion relation for a delayed heating α-viscosity prescription

Journal article
Authors A. Ciesielski
M. Wielgus
W. Kluźniak
A. Sa̧dowski
Marek A Abramowicz
J. P. Lasota
P. Rebusco
Published in Astronomy and Astrophysics
Volume 538
ISSN 00046361
Publication year 2012
Published at Department of Physics (GU)
Language en
Links dx.doi.org/10.1051/0004-6361/201117...
Keywords accretion, accretion disks, hydrodynamics, instabilities
Subject categories Physical Sciences

Abstract

We derive and investigate the dispersion relation for accretion disks with retarded or advanced heating. We follow the α-prescription but allow for a time offset τ between heating and pressure perturbations, as well as for a diminished response of heating to pressure variations. We study in detail solutions of the dispersion relation for disks with radiation-pressure fraction, 1-β, and ξ, the ratio of viscous stress response to pressure perturbations. For τ < 0 (advanced heating) the number and sign of real solutions for the growth rate depend on the values of τ, and ξ: if the magnitude of τ is larger than a critical value (e.g., more than twice the thermal time,-τ > 2 τ th, for β = 0 and ξ = 1) two real solutions exist, which are both negative. These results imply that radiation-pressure dominated accretion disks may be stabilized when there is a time delay between stress fluctuations and fluctuations in heating. © 2012 ESO.

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