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arXiv 1105.1789astro-ph.HEgr-qc
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Turbulence在磁化薄吸积盘全球模拟中的应用

Turbulence in Global Simulations of Magnetized Thin Accretion Disks

Kris Beckwith, Philip J. Armitage, Jacob B. Simon

摘要:

利用磁流体动力学方法对几何薄吸积盘进行了模拟,研究了磁旋转不稳定性(MRI)驱动的湍流的局部性和详细结构。模型盘具有纵横比$H / R \simeq 0.07$,并使用具有精确通量的高阶Goddom MHD方案进行计算。我们集中在后期的分析后,系统已经失去了它的初始磁通量状态的直接记忆。盘进入饱和湍流状态,其中MRI的最快增长模式被很好地分辨,具有相对高的角动量传输效率$< < α> > \approx 2.5 \times 10^{-2}$。吸积应力在盘中平面处达到峰值,在盘中平面的上方和下方存在一个中等磁化强度的日冕,日冕上有一片过热场。通过分析湍流场的空间和时间相关性,我们发现磁场和动能的空间结构具有中等程度的局域性(相关长度分别沿$2.5H$和$1.5H$的长轴),并且与均匀不可压湍流的预期基本一致。密度场,相反,表现出较长的相关长度和较长的相关时间,结果,我们归因于流动内的螺旋密度波的重要性。与以前的结果相一致,我们表明,平均局部应力显示出一个良好的定义与当地的垂直通量的相关性,这种关系显然是因果关系(在这个意义上的通量刺激的应力)在一个全球发电机周期的部分。我们认为,所观察到的磁通量-应力关系支持发电机模型中,日冕磁场的结构起着核心作用,在确定薄盘吸积的动力学。

英文摘要:

We use a global magnetohydrodynamic simulation of a geometrically thin accretion disk to investigate the locality and detailed structure of turbulence driven by the magnetorotational instability (MRI). The model disk has an aspect ratio $H / R \simeq 0.07$, and is computed using a higher-order Godunov MHD scheme with accurate fluxes. We focus the analysis on late times after the system has lost direct memory of its initial magnetic flux state. The disk enters a saturated turbulent state in which the fastest growing modes of the MRI are well-resolved, with a relatively high efficiency of angular momentum transport $< < α> > \approx 2.5 \times 10^{-2}$. The accretion stress peaks at the disk midplane, above and below which exists a moderately magnetized corona with patches of superthermal field. By analyzing the spatial and temporal correlations of the turbulent fields, we find that the spatial structure of the magnetic and kinetic energy is moderately well-localized (with correlation lengths along the major axis of $2.5H$ and $1.5H$ respectively), and generally consistent with that expected from homogenous incompressible turbulence. The density field, conversely, exhibits both a longer correlation length and a long correlation time, results which we ascribe to the importance of spiral density waves within the flow. Consistent with prior results, we show that the mean local stress displays a well-defined correlation with the local vertical flux, and that this relation is apparently causal (in the sense of the flux stimulating the stress) during portions of a global dynamo cycle. We argue that the observed flux-stress relation supports dynamo models in which the structure of coronal magnetic fields plays a central role in determining the dynamics of thin-disk accretion.

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