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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3932

Title: Slow pressure modes in thin accretion discs
Authors: Saini, T.D.
Gulati, Mamta
Sridhar, S.
Keywords: accretion discs
hydrodynamics
waves
methods analytical
Issue Date: 15-Jan-2009
Publisher: Wiley Interscience for the RAS
Citation: Monthly Notices of the Royal Astronomical Society, 2009, Vol.400, p2090
Abstract: Thin accretion discs around massive compact objects can support slow pressure modes of oscillations in the linear regime that have azimuthal wavenumber m= 1 . We consider finite, flat discs composed of barotropic fluid for various surface density profiles and demonstrate – through WKB analysis and numerical solution of the eigenvalue problem – that these modes are stable and have spatial scales comparable to the size of the disc. We show that the eigenvalue equation can be mapped to a Schrödinger-like equation. The analysis of this equation shows that all eigenmodes have discrete spectra. We find that all the models we have considered support negative frequency eigenmodes; however, the positive eigenfrequency modes are only present in power-law discs, albeit for physically uninteresting values of the power-law index β and barotropic index γ.
Description: Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI: http://hdl.handle.net/2289/3932
ISSN: 1365-2966 (Online)
0035-8711
Alternative Location: http://adsabs.harvard.edu/abs/2009arXiv0901.4229D
http://arxiv.org/abs/0901.4229
http://dx.doi.org/10.1111/j.1365-2966.2009.15602.x
Copyright: 2009 Wiley Interscience for the RAS
Appears in Collections:Research Papers (A&A)

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