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arXiv 1609.07930astro-ph.EPastro-ph.SR
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关于原行星盘中的尘埃-气体引力不稳定性

On dust-gas gravitational instabilities in protoplanetary discs

Henrik Latter, Roxana Rosca

摘要:

在原行星盘中,粒子和气体之间的空气动力学摩擦引起了各种不稳定性,这些不稳定性促进了行星形成。其中,我们研究了所谓的“长期引力不稳定性”(SGI)在两种流体近似,推导出其稳定性标准和增长率的解析表达式。同时,我们提出了一个物理解释的不稳定性,表明它是如何体现在一个中间范围的长度尺度表现出地转平衡的气体成分。与单流体处理相反,SGI在临界盘半径内淬灭,对于cm和mm尺寸的颗粒分别为10 AU和30 AU,尽管建立稳健的估计受到参数(特别是湍流强度)中的不确定性和我们采用的剃刀薄盘模型中的缺陷的阻碍。然而,SGI不太可能与耦合良好的尘埃相关。最后,我们将这些结果应用到星子的形成和大规模的尘埃环的起源问题。

英文摘要:

In protoplanetary disks the aerodynamical friction between particles and gas induces a variety of instabilities that facilitate planet formation. Of these we examine the so-called `secular gravitational instability' (SGI) in the two-fluid approximation, deriving analytical expressions for its stability criteria and growth rates. Concurrently, we present a physical explanation of the instability that shows how it manifests upon an intermediate range of lengthscales exhibiting geostrophic balance in the gas component. In contrast to a single-fluid treatment, the SGI is quenched within a critical disk radius, as large as 10 AU and 30 AU for cm and mm sized particles respectively, although establishing robust estimates is hampered by uncertainties in the parameters (especially the strength of turbulence) and deficiencies in the razor-thin disk model we employ. It is unlikely, however, that the SGI is relevant for well-coupled dust. We conclude by applying these results to the question of planetesimal formation and the provenance of large-scale dust rings.

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