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arXiv 1111.4219astro-ph.HE
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吸积盘边界层中的磁流体应力

On Hydromagnetic Stresses in Accretion Disk Boundary Layers

Martin E. Pessah, Chi-kwan Chan

摘要:

对吸积盘边界层物理结构的详细计算,以及由此推断的观测性质,依赖于角动量输运与盘的径向角频率梯度相反的假设。湍流剪切粘度的标准模型通过构造满足这一假设。然而,这种行为是不支持的湍流磁流体动力学(MHD)吸积盘,这表明,由磁旋转不稳定性(MRI)驱动的角动量输运是低效的磁盘区域,如预期的边界层,角频率随半径增加。为了阐明物理上可行的机制,角动量输运在这个内部磁盘区域,我们研究产生的磁流体应力和能量密度在差分旋转的背景下,角频率增加向外的剪切片框架。我们隔离的模式,是无关的标准MRI和由此产生的剪切MHD波的长期演变提供解析解。我们发现,虽然这些波的能量密度可以显着放大,其相关的应力在零附近振荡,使它们成为一个低效的机制,以运输显着的角动量(向内)。这些发现与MHD吸积盘边界层的数值模拟结果是一致的,并挑战了标准的假设,有效的角动量输运的内部磁盘区域。这表明,湍流MHD吸积盘边界层的详细结构可能与湍流剪切粘性的标准框架内导出的结构明显不同。

英文摘要:

Detailed calculations of the physical structure of accretion disk boundary layers, and thus their inferred observational properties, rely on the assumption that angular momentum transport is opposite to the radial angular frequency gradient of the disk. The standard model for turbulent shear viscosity satisfies this assumption by construction. However, this behavior is not supported by numerical simulations of turbulent magnetohydrodynamic (MHD) accretion disks, which show that angular momentum transport driven by the magnetorotational instability (MRI) is inefficient in disk regions where, as expected in boundary layers, the angular frequency increases with radius. In order to shed light into physically viable mechanisms for angular momentum transport in this inner disk region, we examine the generation of hydromagnetic stresses and energy density in differentially rotating backgrounds with angular frequencies that increase outward in the shearing-sheet framework. We isolate the modes that are unrelated to the standard MRI and provide analytic solutions for the long-term evolution of the resulting shearing MHD waves. We show that, although the energy density of these waves can be amplified significantly, their associated stresses oscillate around zero, rendering them an inefficient mechanism to transport significant angular momentum (inward). These findings are consistent with the results obtained in numerical simulations of MHD accretion disk boundary layers and challenge the standard assumption of efficient angular momentum transport in the inner disk regions. This suggests that the detailed structure of turbulent MHD accretion disk boundary layers could differ appreciably from those derived within the standard framework of turbulent shear viscosity.

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