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Connection of Screw Instability with Electric Current in an Accretion Disc around a Black Hole |
| AN Xiao-Xia;WANG Ding-Xiong;GAN Zhao-Ming |
| Department of Physics, Huazhong University of Science and Technology, Wuhan 430074 |
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| Cite this article: |
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AN Xiao-Xia, WANG Ding-Xiong, GAN Zhao-Ming 2005 Chin. Phys. Lett. 22 2455-2458 |
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Abstract The screw instability of the magnetic field is discussed based on its poloidal configuration generated by a single toroidal electric current flowing in the equatorial plane of a Kerr black hole (BH). The rotation of the BH relative to the disc induces an electromotive force, which in turn results in a poloidal electric current. By using Ampere's law, we calculate the toroidal component of the magnetic field and derive a criterion for the screw instability of the magnetic field connecting the rotating BH with its surrounding disc. It is determined that the screw instability is related to two parameters: the radius of the disc and the BH spin. The occurrence of screw instability is depicted in a parameter space. In addition, we discuss the effect of the screw instability on magnetic extraction of energy from the rotating BH.
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| Keywords:
97.60.Lf
98.62.Mw
98.62.Js
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Published: 01 September 2005
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| PACS: |
97.60.Lf
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(Black holes)
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98.62.Mw
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(Infall, accretion, and accretion disks)
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98.62.Js
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(Galactic nuclei (including black holes), circumnuclear matter, and bulges)
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