Secular instability in quasi-viscous disc accretion

Details Secular instability in quasi-viscous disc accretion Secular instability in quasi-viscous disc accretion

2007-03-13

arxiv.org/abs/astro-ph/0703304v2

The Astrophysical Journal, Vol. 668, Pg. 409, Year 2007

Astronomy and Astrophysics

Astrophysics

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

Scientific paper

10.1086/521042

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.

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