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arXiv 1709.09173astro-ph.HE
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强磁化吸积盘中的不稳定性:全球观点

Instability in strongly magnetized accretion discs: A global perspective

Upasana Das, Mitchell C. Begelman, Geoffroy Lesur

摘要:

我们研究强磁化吸积盘在全球范围内的性能,特别侧重于磁流体动力学不稳定性,如磁旋转不稳定性(MRI)的演变。Pessah和Psaltis的工作表明,MRI在可压缩、差动旋转流中超过临界环向场是稳定的,并且还报告了在该场之外出现的两种新的不稳定性。他们的结果源于考虑由于超热背景环向场的几何曲率效应,这在弱场研究中以前被忽略了。然而,他们的计算是在局部近似下进行的,由于在局部框架中引入了全局几何项,因此存在引入虚假行为的危险。为了避免这种情况,我们进行了整体特征值分析的线性磁流体方程在圆柱几何。我们证实,MRI确实倾向于高度抑制时,背景环向场达到Pessah-Psaltis限制。我们还观察到两个新的不稳定性,出现在存在高度超热环形场的外观。这些结果还验证了PLUTO中的数值模拟。然而,局部和全局结果之间存在一定的差异,特别是在各种不稳定性的垂直波数方面,我们将详细讨论。我们还研究了最不稳定的模式在超热制度,这是不可访问的本地分析的全球本征函数。总的来说,我们的研究结果强调了全球治疗的必要性,准确建模强磁化吸积盘。

英文摘要:

We examine the properties of strongly magnetized accretion discs in a global framework, with particular focus on the evolution of magnetohydrodynamic instabilities such as the magnetorotational instability (MRI). Work by Pessah and Psaltis showed that MRI is stabilized beyond a critical toroidal field in compressible, differentially rotating flows and, also, reported the appearance of two new instabilities beyond this field. Their results stemmed from considering geometric curvature effects due to the suprathermal background toroidal field, which had been previously ignored in weak-field studies. However, their calculations were performed under the local approximation, which poses the danger of introducing spurious behavior due to the introduction of global geometric terms in an otherwise local framework. In order to avoid this, we perform a global eigenvalue analysis of the linearized MHD equations in cylindrical geometry. We confirm that MRI indeed tends to be highly suppressed when the background toroidal field attains the Pessah-Psaltis limit. We also observe the appearance of two new instabilities that emerge in the presence of highly suprathermal toroidal fields. These results were additionally verified using numerical simulations in PLUTO. There are, however, certain differences between the the local and global results, especially in the vertical wavenumber occupancies of the various instabilities, which we discuss in detail. We also study the global eigenfunctions of the most unstable modes in the suprathermal regime, which are inaccessible in the local analysis. Overall, our findings emphasize the necessity of a global treatment for accurately modeling strongly magnetized accretion discs.

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