Astronomy and Astrophysics – Astronomy
Scientific paper
May 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...297..272w&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 297, no. 1, p. 272
Astronomy and Astrophysics
Astronomy
Accretion Disks, Acoustic Frequencies, Black Holes (Astronomy), Frequency Stability, Azimuth, Perturbation, Stability, Viscosity
Scientific paper
By analyzing the dispersion relation analytically, I conclude that the radial-azimuthal instability properties of an isothermal accretion disk are different from those in a previous research paper (Cao 1992, A&A 262, 350). In the case without viscosity, I find that the acoustic modes are always stable, whereas the non-axisymmetric mode associated with the azimuthal perturbations is unstable. These are contradictory with the results obtained by Cao, who thought that the acoustic modes are unstable and the non-axisymmetric mode is stable in both the inner and outer parts of an inviscid disk. Moreover, I find the presence of viscosity tends to enhance the acoustic instability and damp the non-axisymmetric instability, while the coupling of radial and azimuthal perturbations will prevent the acoustic instability and enhance the non-axisymmetric instability. The incorrect conclusion of Cao's research is found to arise from a wrong classification of the numerical solutions to the dispersion relation.
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