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arXiv 2211.09261astro-ph.HE
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磁转动不稳定性的饱和与磁抬升吸积盘的起源

Saturation of the magnetorotational instability and the origin of magnetically elevated accretion discs

Mitchell C. Begelman, Philip J. Armitage

AI总结:

本文提出MRI通过自调节机制决定净垂直磁场吸积盘中角动量输运强度,再现α∝β_z^{-1/2}标度关系,并将其推广到强环向磁场情形,指出磁抬升盘需额外湍流源,推测撕裂模可能是候选机制。

摘要:

我们提出,在贯穿净垂直磁场的吸积盘中,角动量输运的强度由一种自调节机制决定:磁转动不稳定性(MRI)持续增长,直到其自身的湍流电阻率在盘厚度尺度上阻尼掉增长最快的模式。在对MRI衍生湍流结构的弱假设下,并得到先前模拟证据的支持,所提出的机制再现了已知的粘性α参数标度关系,α∝β_z^{-1/2}。这里,β_z = 8πp_g/B_{z0}^2是盘中间平面上的初始等离子体β参数,B_{z0}是净磁场,p_g是中间平面气体压强。我们将该论证推广到具有强超热环向磁场的吸积盘,此时MRI增长率相对于弱场极限发生改变。如果这类盘要成为磁抬升盘,并具有模拟中所见的中间平面附近增大的标高,则需要额外的湍流源。我们推测,与由有效电阻率展宽的电流片相关的撕裂模,是抬升盘中增强湍流的一个可能来源。

英文摘要:

We propose that the strength of angular momentum transport in accretion discs threaded by net vertical magnetic field is determined by a self-regulation mechanism: the magnetorotational instability (MRI) grows until its own turbulent resistivity damps the fastest growing mode on the scale of the disc thickness. Given weak assumptions as to the structure of MRI-derived turbulence, supported by prior simulation evidence, the proposed mechanism reproduces the known scaling of the viscous $α$-parameter, $α\propto β_z^{-1/2}$. Here, $β_z = 8πp_g/B_{z0}^2$ is the initial plasma $β$-parameter on the disc midplane, $B_{z0}$ is the net field, and $p_g $ is the midplane gas pressure. We generalize the argument to discs with strong suprathermal toroidal magnetic fields, where the MRI growth rate is modified from the weak-field limit. Additional sources of turbulence are required if such discs are to become magnetically elevated, with the increased scale heights near the midplane that are seen in simulations. We speculate that tearing modes, associated with current sheets broadened by the effective resistivity, are a possible source of enhanced turbulence in elevated discs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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