Emergence of vortices at the edges of planet-driven gaps in protoplanetary discs
Emergence of vortices at the edges of planet-driven gaps in protoplanetary discs
复制标题
原行星盘中行星驱动间隙边缘出现涡旋
DOI：
10.1093/mnras/stac3507
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发表时间：
2023
影响因子：
4.8
通讯作者：
Cimerman N
中科院分区：
文献类型：
--
作者：
Cimerman N
嵌在原行星盘（PPDs）中的年轻行星激发螺旋密度波，这些密度波传播激波并在原行星盘中沉积角动量。这导致行星轨道周围的间隙打开，即使是低（亚热）质量的行星，只要圆盘的有效粘度很低。通过罗斯比波不稳定性（RWI），已知这些行星引起的间隙的边缘容易出现可观察到的漩涡。我们研究了由低质量行星在无粘性圆盘中驱动的漩涡发展的时间尺度。我们采用最近发展的行星驱动激波产生涡旋的半解析理论来预测行星附近的涡旋演化，从中我们得出了行星引起的间隙的径向轮廓作为时间的函数（这个过程可以有多种其他用途，例如研究尘埃捕获，抑制卵石吸积等）。然后，我们根据RWI分析间隙边缘的线性稳定性，获得间隙边缘首次出现不稳定模式和（后来）完全发展的涡的时间尺度。我们提出了这些时间尺度作为行星和圆盘参数函数的有用公式，并提供了它们的物理依据。我们还针对高分辨率二维流体动力学模拟彻底测试了我们的半分析框架，证实了我们理论预测的准确性。我们讨论了我们的半解析框架可以扩展到包含额外物理的方法，例如行星吸积，迁移和非零圆盘粘度。我们的结果可以用来解释PPDs的观测结果，并在模拟中预测漩涡的出现。
Young planets embedded in protoplanetary discs (PPDs) excite spiral density waves, which propagate shock and deposit angular momentum in the disc. This results in gap opening around the planetary orbit, even for low (sub-thermal) mass planets, provided that the effective viscosity in the disc is low. The edges of these planet-induced gaps are known to be prone to emergence of observable vortices via the Rossby wave instability (RWI). We study time-scales for the development of vortices driven by low-mass planets in inviscid discs. We employ a recently developed semi-analytical theory of vortensity production by the planet-driven shock to predict vortensity evolution near the planet, from which we derive the radial profile of the planet-induced gap as a function of time (this procedure can have multiple other uses, e.g. to study dust trapping, suppression of pebble accretion, etc.). We then analyse the linear stability of the gap edges against the RWI, obtaining the time-scales for the first appearance of unstable modes and (later) fully developed vortices at gap edges. We present useful formulae for these time-scales as functions of planetary and disc parameters and provide their physical justification. We also thoroughly test our semi-analytical framework against high-resolution 2D hydrodynamic simulations, confirming the accuracy of our theoretical predictions. We discuss ways in which our semi-analytical framework can be extended to incorporate additional physics, e.g. planetary accretion, migration, and non-zero disc viscosity. Our results can be used to interpret observations of PPDs and to predict emergence of vortices in simulations.
数学表格和其他计算辅助工具。
DOI：
--
发表时间：
1946
期刊：
影响因子：
--
作者：
Clare Archibald;D. H. Lehmer
通讯作者：
D. H. Lehmer