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A powerful local shear instability in weakly magnetized disks. I - Linear analysis. II - Nonlinear evolution
Abstract
A broad class of astronomical accretion disks is presently shown to be dynamically unstable to axisymmetric disturbances in the presence of a weak magnetic field, an insight with consequently broad applicability to gaseous, differentially-rotating systems. In the first part of this work, a linear analysis is presented of the instability, which is local and extremely powerful; the maximum growth rate, which is of the order of the angular rotation velocity, is independent of the strength of the magnetic field. Fluid motions associated with the instability directly generate both poloidal and toroidal field components. In the second part of this investigation, the scaling relation between the instability's wavenumber and the Alfven velocity is demonstrated, and the independence of the maximum growth rate from magnetic field strength is confirmed.
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Cited by
First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
The Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Asada, K., Azulay, R., Baczko, A.-K., Ball, D., Baloković, M., Barrett, J., et al. (2019) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ab0ec7 · Cited by 4,205
Astrophysical magnetic fields and nonlinear dynamo theory
Brandenburg, A., & Subramanian, K. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.06.005 · Cited by 1,640
Hot Accretion Flows Around Black Holes
Yuan, F., & Narayan, R. (2014) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-082812-141003 · Cited by 1,529
First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
The Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Asada, K., Azulay, R., Baczko, A.-K., Ball, D., Baloković, M., Barrett, J., et al. (2019) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ab0f43 · Cited by 1,424
Esin, A. A., McClintock, J. E., & Narayan, R. (1997) · The Astrophysical Journal · doi:10.1086/304829 · Cited by 1,313
Metadata
- Authors
- Balbus, S. A., & Hawley, J. F.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1991-07
- Volume
- 376
- Pages
- 214
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2049013365
- Cited by
- 4,469
- References
- 0
- FWCI
- 23.60
- Type
- journal article
- Language
- en
- Open access
- closed
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- Balbus, S. A., & Hawley, J. F. (1991). A powerful local shear instability in weakly magnetized disks. I - Linear analysis. II - Nonlinear evolution. The Astrophysical Journal. https://doi.org/10.1086/170270
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