arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2108.01423astro-ph.EP
收藏

原行星盘中行星驱动的密度波:非线性演化理论的数值验证

Planet-driven density waves in protoplanetary discs: numerical verification of nonlinear evolution theory

Nicolas P. Cimerman, Roman R. Rafikov

摘要:

原行星盘和嵌入其中的行星之间的引力耦合导致螺旋密度波的出现,当它们通过盘传播时演变成冲击。我们探讨了一个半分析框架的性能,用于描述全球行星驱动的密度波的非线性演化,专注于低行星质量制度(低于所谓的热质量)。我们发现,这个框架准确地捕捉(准)自相似演化的波的性质表示在适当的尺度变量,提供了某些理论输入校准使用数值模拟(近似,第一性原理计算的波的演化的基础上的无粘Burgers方程是在定性的模拟协议,但过度预测波阻尼在定量水平)。我们提供了这样的输入,特别是,强度和全球形状的行星驱动的冲击占非线性效应的拟合公式。我们使用这个非线性框架,理论计算涡度生产的整体螺旋激波在光盘和数值验证这种计算的准确性。我们的研究结果可用于解释磁盘中的螺旋功能,嵌入式行星在CO线发射(“扭结”)的运动学签名的意见,并了解行星驱动的旋涡在原行星盘的出现。

英文摘要:

Gravitational coupling between protoplanetary discs and planets embedded in them leads to the emergence of spiral density waves, which evolve into shocks as they propagate through the disc. We explore the performance of a semi-analytical framework for describing the nonlinear evolution of the global planet-driven density waves, focusing on the low planet mass regime (below the so-called thermal mass). We show that this framework accurately captures the (quasi-)self-similar evolution of the wave properties expressed in terms of properly rescaled variables, provided that certain theoretical inputs are calibrated using numerical simulations (an approximate, first principles calculation of the wave evolution based on the inviscid Burgers equation is in qualitative agreement with simulations but overpredicts wave damping at the quantitative level). We provide fitting formulae for such inputs, in particular, the strength and global shape of the planet-driven shock accounting for nonlinear effects. We use this nonlinear framework to theoretically compute vortensity production in the disc by the global spiral shock and numerically verify the accuracy of this calculation. Our results can be used for interpreting observations of spiral features in discs, kinematic signatures of embedded planets in CO line emission ("kinks"), and for understanding the emergence of planet-driven vortices in protoplanetary 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。

↑