Nonaxisymmetric instabilities of a toroidal magnetic field in a rotating sphere
文献类型:期刊论文
作者 | Zhang, KK; Liao, XH; Schubert, G |
刊名 | ASTROPHYSICAL JOURNAL |
出版日期 | 2003-03-10 |
卷号 | 585期号:2页码:1124-1137 |
关键词 | instabilities magnetic fields Sun : magnetic fields |
英文摘要 | It has been suggested that nonaxisymmetric instabilities of an axisymmetric toroidal magnetic field, independent of the existence of convective turbulence, provide an important dynamo effect for stars when the convective turbulence is largely suppressed by the magnetic field. We investigate analytically such three-dimensional magnetic instabilities arising from a purely toroidal magnetic field whose strength is proportional to distance from the rotation axis of a star. A three-dimensional perturbation approach is used in our stability analysis. The leading-order problem neglects dissipative effects and describes two- or three-dimensional hydromagnetic waves in spherical geometry. For the first time we are able to obtain general explicit solutions for the problem. Interesting properties of the hydromagnetic waves are revealed by the explicit solutions. We investigate the effect of ohmic dissipation on the stability of the toroidal magnetic field by first deriving the magnetic boundary layer solution and then matching it onto the interior leading-order solution. Furthermore, for the first time we are able to derive an explicit analytic expression for the growth rate of the magnetic instabilities. We find that the most unstable mode of the instabilities is always three-dimensional and characterized by small radial and latitudinal scales. Implications of these magnetic instabilities for the solar dynamo are discussed. |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Astronomy & Astrophysics |
研究领域[WOS] | Astronomy & Astrophysics |
关键词[WOS] | POINCARE EQUATION ; DYNAMO MODELS ; HEAT-EQUATION ; SOLAR DYNAMO ; FLUX TUBES ; INTERFACE ; WAVES ; SHELL ; TRANSPORT ; FLOWS |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000181287200048 |
源URL | [http://119.78.226.72/handle/331011/18264] |
专题 | 上海天文台_天文地球动力学研究中心 |
作者单位 | 1.Univ Exeter, Sch Math Sci, Exeter EX4 4QE, Devon, England 2.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China 3.Univ Calif Los Angeles, Dept Earth & Space Sci, Los Angeles, CA 90095 USA 4.Univ Calif Los Angeles, Inst Geophys & Planetary Phys, Los Angeles, CA 90095 USA |
推荐引用方式 GB/T 7714 | Zhang, KK,Liao, XH,Schubert, G. Nonaxisymmetric instabilities of a toroidal magnetic field in a rotating sphere[J]. ASTROPHYSICAL JOURNAL,2003,585(2):1124-1137. |
APA | Zhang, KK,Liao, XH,&Schubert, G.(2003).Nonaxisymmetric instabilities of a toroidal magnetic field in a rotating sphere.ASTROPHYSICAL JOURNAL,585(2),1124-1137. |
MLA | Zhang, KK,et al."Nonaxisymmetric instabilities of a toroidal magnetic field in a rotating sphere".ASTROPHYSICAL JOURNAL 585.2(2003):1124-1137. |
入库方式: OAI收割
来源:上海天文台
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