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arXiv 1106.3528astro-ph.EP
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一种快速精确计算原行星和环行星带电尘埃粒子电离度的方法

A Fast and Accurate Calculation Scheme for Ionization Degrees in Protoplanetary and Circumplanetary Disks with Charged Dust Grains

Yuri I. Fujii, Satoshi Okuzumi, Shu-ichiro Inutsuka

摘要:

发展了一种快速、精确计算含尘埃颗粒的原行星盘和环行星盘电离度的方法。我们应用我们的方法计算了环行星盘的电离度。了解原行星/环行星盘的结构和演化是很重要的,因为它们被认为是行星/卫星形成的场所。引起气体吸积的湍流被认为是由磁旋转不稳定性(MRI)驱动的,磁旋转不稳定性仅在电离度足够高以使磁场耦合到气体时发生。我们计算了环行星盘的电离度,以估计MRI不活跃区域的大小。我们适当地包括尘埃颗粒的影响,因为它们有效地捕获带电粒子,使电离度较低。包含尘埃颗粒使反应方程复杂化,需要昂贵的计算。为了加速电离反应的计算,我们发展了一种基于电荷分布模型的半解析方法。这种方法使我们能够研究广泛的模型参数的磁盘的电离状态。对于以前的模型的环木星盘,我们发现,MRI不活跃的区域几乎覆盖了所有的地区,即使没有尘埃颗粒。这表明,在环行星盘中的气体吸积率比以前认为的要小得多。

英文摘要:

We develop a fast and accurate calculation method for ionization degrees in protoplanetary and circumplanetary disks including dust grains. We apply our method to calculate the ionization degree of circumplanetary disks. It is important to understand the structure and evolution of protoplanetary/circumplanetary disks since they are thought to be the sites of planet/satellite formation. The turbulence that causes gas accretion is supposed to be driven by magnetorotational instability (MRI) that occurs only when the ionization degree is high enough for magnetic field to be coupled to gas. We calculate the ionization degrees in circumplanetary disks to estimate the sizes of MRI-inactive regions. We properly include the effect of dust grains because they efficiently capture charged particles and make ionization degree lower. Inclusion of dust grains complicates the reaction equations and requires expensive computation. In order to accelerate the calculation of ionization reactions, we develop a semianalytic method based on the charge distribution model proposed previously. This method enables us to study the ionization state of disks for a wide range of model parameters. For a previous model of circum-Jovian disk, we find that an MRI-inactive region covers almost all regions even without dust grains. This suggests that the gas accretion rates in circumplanetary disks are much smaller than previously thought.

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