Abstract
On the basis of hydrodynamic equations and the new anomalous viscosity, we numerically calculate the steady state of geometrically thin accretion disk around a black hole, including surface density, temperature and radial velocity distribution. We found the density distribution, especially in the inner region, is greatly different from the one with conventional α-viscosity. The stability of the accretion disks with anomalous viscosity is also examined. The results show that the Outward–moving mode is unstable, and the viscous mode is stable throughout the disk. The instability of the Inward–moving mode depends on the wavelength. The results show that the prescription of viscosity has some influence on the stability properties of the disk.
Similar content being viewed by others
References
Balbus, S.A., Hawley, J.F.: Rev. Mod. Phys. 70, 12 (1998)
Belloni, T., Méndez, M., King, A.R., Van Der Klis, M., Van Paradijs, J.: Astrophys. J. 479, 145–148 (1997)
Chen, X.M., Taam Ronald, E.: Astrophys. J. 412, 254–266 (1993)
Chen, Y.Q., Liu, S.Q.: J. Plasmas Phys. 73, 273–283 (2007)
Ciesielski, A., Wielgus, M., Kluzniak, W., Sadowski, A., Abramowicz, M., Lasota, J.P., Rebusco, P.: Astron. Astrophys. 538, 148 (2012)
Done, C., Wardzinski, G., Gierlinski, M.: Mon. Not. R. Astron. Soc. 349, 393–403 (2004)
Don Page, N., Thorne, K.S.: Astrophys. J. 191, 499–506 (1974)
Li, X.Q.: Collapsing Dynamics of Plasmons, p. 291. Chinese Science and Technology Press, Beijing (2004) (in Chinese)
Li, X.Q., Zhang, H.: Astron. Astrophys. 390, 767–777 (2002)
Lightman, A.P.: Astrophys. J. 194, 429–437 (1974)
Lin, D.B., Gu, W.M., Lu, J.F.: Mon. Not. R. Astron. Soc. 415, 2319–2322 (2011)
Lin, F.J., Liu, S.Q.: Astrophys. Space Sci. 332, 379–384 (2011)
Schramkowski, G.P., Torkelsson, U.: Astron. Astrophys. Rev. 7, 55–96 (1996)
Pandey, M., Rao, A.P., Pooley, G.G., Durouchoux, P., Manchanda, R.K., Ishwara-Chandra, C.H.: Astron. Astrophys. 447, 525–532 (2006)
Pringle, J.E.: Annu. Rev. Astron. Astrophys. 19, 137–162 (1981)
Shakura, N.I., Sunyaev, R.A.: Astron. Astrophys. 24, 337–355 (1973)
Shakura, N.I., Sunyaev, R.A.: Mon. Not. R. Astron. Soc. 175, 613–632 (1976)
Wallinder, F.H.: Astron. Astrophys. 237, 270 (1990)
Wu, X.B., Yang, L.T.: Astrophys. J. 432, 672–679 (1994)
Acknowledgements
I thanks the Department of Physics of Nanchang University for giving me an opportunity to visit. I am very grateful to Professor X.Q. Li and Dr. F.J. Lin for their helpful suggestions.
Author information
Authors and Affiliations
Corresponding author
Additional information
Visiting scholar in Nanchang University.
Rights and permissions
About this article
Cite this article
Zhou, Ap. Study on the instability of accretion disks with anomalous viscosity. Astrophys Space Sci 343, 45–51 (2013). https://doi.org/10.1007/s10509-012-1201-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10509-012-1201-8