# Secular instability in quasi-viscous disc accretion

Source: [Secular instability in quasi-viscous disc accretion](<https://www.sota2.com/research/paper/68fa27f12c2a3760193c5d2b>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T12:11:19.623Z

Authors: Jayanta K. Bhattacharjee, Arnab K. Ray

Published: 2007-03-13T11:29:35.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/astro-ph/0703304>)

[PDF](<https://arxiv.org/pdf/astro-ph/0703304.pdf>)