论文标题
关于恒星光盘对外部扰动的自洽时间依赖性的线性化响应
On the self-consistent time-dependent linearized response of stellar discs to external perturbations
论文作者
论文摘要
我们通过将线性化无碰撞的无碰撞玻尔兹曼方程重新铸造为积分方程并应用kalnajs的矩阵方法，研究了剃须刀 - 薄的轴对称盘对外部施加的扰动的明确依赖性响应。作为应用程序，我们考虑了在稳定旋转的二维栏上计算动力学摩擦扭矩的理想化问题。我们考虑了矩阵方法中基础函数的两个选择，表明两者都会带来可比的结果。我们线性化计算中的扭矩与从$ n $ simulation中测量的扭矩非常吻合，只要栏扰动与光盘恒星的很大一部分产生共鸣。
We study the explicitly time-dependent response of a razor-thin axisymmetric disc to externally imposed perturbations by recasting the linearized Collisionless Boltzmann equation as an integral equation and applying Kalnajs' matrix method. As an application we consider the idealized problem of calculating the dynamical friction torque on a steadily rotating, two-dimensional bar. We consider two choices of basis functions in the matrix method, showing that both lead to comparable results. The torques from our linearised calculation are in excellent agreement with those measured from $N$-body simulation, as long as the bar perturbation does not resonate with a significant fraction of the disc's stars.
