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arXiv 1402.7102astro-ph.EPastro-ph.SR
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原行星盘中霍尔效应控制的气体动力学:I。内轮盘的风力解决方案

Hall-effect Controlled Gas Dynamics in Protoplanetary Disks: I. Wind Solutions at the Inner Disk

Xue-Ning Bai

摘要:

原行星盘(protoplanetary disk,PPD)的气体动力学在很大程度上受到非理想磁流体动力学(MHD)效应的控制,包括欧姆电阻率、霍尔效应和双极扩散。其中,霍尔效应的作用是最少探索和最知之甚少。我们已经包括所有三个非理想的MHD效应在一个自洽的方式调查的霍尔效应的PPD气体动力学的作用,使用本地剪切盒模拟。在这第一篇论文中,我们专注于PPD的内部区域,以前的研究不包括霍尔效应已经发现,内部磁盘高达~10 AU主要是层流,吸积驱动的磁离心风。我们证实了这一基本的图片,并表明霍尔效应引入适度的修改风的解决方案,这取决于大规模的极向磁场B_0线程磁盘的极性。当B_0.Omega>0时,水平磁场向盘内部强烈放大,导致更强的盘风(就风驱动吸积率而言,放大约50%或更少)。增强的水平场也导致更强的大规模麦克斯韦应力(磁制动),这有助于相当大一部分的风驱动吸积率。当B_0.Omega<0时,水平磁场减小,导致较弱的盘风(约20%)和可忽略的磁制动。当B_0.Omega>0时,在磁转动不稳定性发生之前,层流区扩展到~15 AU,而当B_0.Omega<0时,在典型的PPD吸积率下,层流区仅扩展到~3- 5AU。风的属性,特别是风驱动的吸积率的标度关系,提供对齐和反对齐的字段的几何形状。还讨论了风解的对称性和谷物丰度的问题。

英文摘要:

The gas dynamics of protoplanetary disks (PPDs) is largely controlled by non-ideal magnetohydrodynamic (MHD) effects including Ohmic resistivity, the Hall effect and ambipolar diffusion. Among these the role of the Hall effect is the least explored and most poorly understood. We have included all three non-ideal MHD effects in a self-consistent manner to investigate the role of the Hall effect on PPD gas dynamics using local shearing-box simulations. In this first paper, we focus on the inner region of PPDs, where previous studies excluding the Hall effect have revealed that the inner disk up to ~10 AU is largely laminar, with accretion driven by a magnetocentrifugal wind. We confirm this basic picture and show that the Hall effect introduces modest modifications to the wind solutions, depending on the polarity of the large-scale poloidal magnetic field B_0 threading the disk. When B_0.Omega>0, the horizontal magnetic field is strongly amplified toward the disk interior, leading to a stronger disk wind (by ~50% or less in terms of the wind-driven accretion rate). The enhanced horizontal field also leads to much stronger large-scale Maxwell stress (magnetic braking) that contributes to a considerable fraction of the wind-driven accretion rate. When B_0.Omega<0, the horizontal magnetic field is reduced, leading to a weaker disk wind (by ~20%) and negligible magnetic braking. Moreover, we find that when B_0.Omega>0, the laminar region extends farther to ~15 AU before the magneto-rotational instability sets in, while for B_0.Omega<0, the laminar region extends only to ~3-5 AU for a typical PPD accretion rates. Scaling relations for the wind properties, especially the wind-driven accretion rate, are provided for aligned and anti-aligned field geometries. Issues with the symmetry of the wind solutions and grain abundance are also discussed.

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