标题： 吸积盘对弯曲波的响应：角动量输运和共振 显示英文标题

标题： The response of accretion disks to bending waves: angular momentum transport and resonances

摘要： 我们研究伴星在倾斜于盘面的平面上轨道运行时对粘性开普勒盘的线性潮汐扰动。 我们考虑关于z=0中平面具有奇对称性的m=1扰动。 由于粘性盘的响应与扰动势不同相，会对盘施加潮汐力矩，导致其角动量减少。 发现这种潮汐力矩在盘中的扰动速度约为声速时，与作用于背景流的水平粘性应力相当。 如果这些速度保持亚音速，只有当耦合到垂直剪切的粘性参数\alpha 大于耦合到水平剪切的参数时，潮汐力矩才能超过水平粘性应力。 在原恒星盘中，弯曲波被发现可以深入传播到盘的内部区域。 如果波在中心反射，当潮汐波的频率等于盘的某些自由全局弯曲模式的频率时会发生共振。 如果存在这样的共振，即使双星距离较大，潮汐相互作用也可能变得重要。 在非共振情况下，与长期扰动相关的力矩通常远大于与有限频率扰动相关的力矩。 只要波在到达中心之前被阻尼，与有限频率扰动相关的力矩就不依赖于粘性。 这些计算适用于年轻恒星周围的盘，可能也适用于X射线双星系统中的盘。 （摘要） 显示英文摘要

摘要： We investigate the linear tidal perturbation of a viscous Keplerian disk by a companion star orbiting in a plane inclined to the disk. We consider m=1 perturbations with odd symmetry with respect to the z=0 midplane. Since the response of a viscous disk is not in phase with the perturbing potential, a tidal torque is exerted on the disk, resulting in a decrease of its angular momentum. This tidal torque is found to be comparable to the horizontal viscous stress acting on the background flow when the perturbed velocities in the disk are on the order of the sound speed. If these velocities remain subsonic, the tidal torque can exceed the horizontal viscous stress only if the viscous parameter \alpha which couples to the vertical shear is larger than that coupled to the horizontal shear. In protostellar disks, bending waves are found to propagate deep into the disk inner parts. If the waves are reflected at the center, resonances occur when the frequency of the tidal waves is equal to that of some free normal global bending mode of the disk. If such resonances exist, tidal interactions may then be important even when the binary separation is large. Out of resonance, the torque associated with the secular perturbation is generally much larger than that associated with the finite frequency perturbations. As long as the waves are damped before they reach the center, the torque associated with the finite frequency perturbations does not depend on the viscosity. These calculations are relevant to disks around young stars and maybe also to disks in X-ray binary systems. (abridged)