Secular Instability in Quasi‐viscous Disk Accretion | Zendy

Jayanta K. Bhattacharjee | Zendy; Arnab Ray | Zendy

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Secular Instability in Quasi‐viscous Disk Accretion

Author(s) -

Jayanta K. Bhattacharjee,

Arnab Ray

Publication year - 2007

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/521042

Subject(s) - inviscid flow , instability , physics , accretion disc , viscosity , accretion (finance) , mechanics , flow (mathematics) , classical mechanics , astrophysics , thermodynamics

A first-order correction in the $\alpha$-viscosity parameter of Shakura andSunyaev has been introduced in the standard inviscid and thin accretion disc. Alinearised time-dependent perturbative study of the stationary solutions ofthis "quasi-viscous" disc leads to the development of a secular instability onlarge spatial scales. This qualitative feature is equally manifest for twodifferent types of perturbative treatment -- a standing wave on subsonicscales, as well as a radially propagating wave. Stability of the flow isrestored when viscosity disappears.Comment: 15 pages, 2 figures, AASTeX. Added some new material and upgraded the reference lis

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