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arXiv 1202.2339astro-ph.SRastro-ph.HE
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正压恒星中是否存在稳定的磁场?

Are there any stable magnetic fields in barotropic stars?

S. K. Lander, D. I. Jones

摘要:

我们构建正压恒星平衡,包含磁场的极向和环向场分量。我们通过探索不同的磁场和电流分布的影响,扩展了早期的结果。我们的研究结果表明,边界处理起着重要的作用,无论是极向或环向场分量是全球占主导地位。使用时间演化,我们提供了第一个稳定性测试混合poloidal-toroidal场正压恒星,发现所有这些领域遭受的不稳定性,由于一个领域的组成部分:这些是本地化的极周围的超环面为主的平衡,并在闭场线区域的poloidal-dominated平衡。旋转仅提供部分稳定。在正压恒星中,稳定磁场的存在范围似乎非常有限。我们讨论了什么额外的物理从真正的恒星可能允许稳定的领域。

英文摘要:

We construct barotropic stellar equilibria, containing magnetic fields with both poloidal and toroidal field components. We extend earlier results by exploring the effect of different magnetic field and current distributions. Our results suggest that the boundary treatment plays a major role in whether the poloidal or toroidal field component is globally dominant. Using time evolutions we provide the first stability test for mixed poloidal-toroidal fields in barotropic stars, finding that all these fields suffer instabilities due to one of the field components: these are localised around the pole for toroidal-dominated equilibria and in the closed-field line region for poloidal-dominated equilibria. Rotation provides only partial stabilisation. There appears to be very limited scope for the existence of stable magnetic fields in barotropic stars. We discuss what additional physics from real stars may allow for stable fields.

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