2007/03/31 by Jayanta K. Bhattacharjee, Arnab Ray, Arnab K. Ray
Earth and Planetary Sciences · Physics and Astronomy · #Accretion (finance) #Accretion disc #Astrophysical Phenomena and Observations #Astrophysics #Astrophysics and Star Formation Studies #Classical mechanics #Flow (mathematics) #High-pressure geophysics and materials #Instability #Inviscid flow #Mechanics #Physics #Thermodynamics #Viscosity #astro-ph
paper · pdf · doi:10.1086/521042
published as The Astrophysical Journal, Vol. 668, Pg. 409, Year 2007 · 15 pages, 2 figures, AASTeX. Added some new material and upgraded the reference list
openalex publication_date 2007/10/10 · arxiv created 2007/11/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A first-order correction in the α-viscosity parameter of Shakura & Sunyaev has been introduced in the standard inviscid and thin accretion disk. A linearized time-dependent perturbative study of the stationary solutions of this "quasi-viscous" disk reveals the development of a secular instability on large spatial scales. This qualitative feature is equally manifest for two different types of perturbative treatment: a standing wave on subsonic scales, as well as a radially propagating wave. The stability of the flow is restored when the viscosity disappears.