Secular instability in quasi-viscous disc accretion

Abstract

A first-order correction in the $\alpha$-viscosity parameter of Shakura and Sunyaev has been introduced in the standard inviscid and thin accretion disc. A linearised time-dependent perturbative study of the stationary solutions of this "quasi-viscous" disc leads to 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. Stability of the flow is restored when viscosity disappears.

15 pages, 2 figures, AASTeX. Added some new material and upgraded the reference list

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Cited by in corpus (9)

• Hysteresis effects and diagnostics of the shock formation in low angular momentum axisymmetric accretion in the Kerr metric
• The role of flow geometry in influencing the stability criteria for low angular momentum axisymmetric black hole accretion
• Quasi-viscous accretion flow -- I: Equilibrium conditions and asymptotic behaviour
• Axially Symmetric Accretion of Fractal Medium onto Rotating Black Holes and the emergence of the Acoustic Manifold
• Carter-Penrose diagrams for emergent spacetime in axisymmetrically accreting black hole systems
• Nonlinear variations in axisymmetric accretion
• An Analytical Study on the Multi-critical Behaviour and Related Bifurcation Phenomena for Relativistic Black Hole Accretion
• Dissipation and acoustic tunnelling about the sonic horizon of Bondi accretion
• Transonic behaviour and stability analysis of quasi-viscous black hole accretion