标题： 垂直温度梯度对原行星盘中三维波传播的影响 显示英文标题

标题： The Effect of Vertical Temperature Gradient on the Propagation of Three-dimensional Waves in a Protoplanetary Disk

摘要： 研究了具有任意垂直温度分布的热分层盘中波的激发与传播问题。以往关于三维波的解析研究主要集中在等温或多方垂直盘结构上。然而，在原行星盘中恒星辐射为主要加热源的位置，垂直方向的温度梯度可能变为正值。我们将分析扩展到研究垂直温度结构对在Lindblad共振处激发的波的影响。对于较热的盘大气层，$f$模式对扭矩的贡献较小，并且随着远离共振点而被限制在靠近盘面附近。另一方面，$g$模式的激发更强。当它们传播时，这些波会聚集到盘大气层的顶部，并且群速度减小。与之前的研究相比，这些差异可能有助于理解真实盘结构中的波动动力学。 显示英文摘要

摘要： Excitation and propagation of waves in a thermally stratified disk with an arbitrary vertical temperature profile are studied. Previous analytical studies of three-dimensional waves had been focused on either isothermal or polytropic vertical disk structures. However, at the location in a protoplanetary disk where the dominant heating source is stellar irradiation, the temperature gradient may become positive in the vertical direction. We extend the analysis to study the effects of the vertical temperature structure on the waves that are excited at the Lindblad resonances. For a hotter disk atmosphere, the $f$-mode contributes less to the torque and remains confined near the midplane as it propagates away from the resonances. On the other hand, the excitation of the $g$-modes is stronger. As they propagate, they channel to the top of disk atmosphere and their group velocities decrease. The differences compared to previous studies may have implications in understanding the wave dynamics in a realistic disk structure.