标题： 沿着固定涡旋的似曾相识模式 显示英文标题

标题： Whispering gallery like modes along pinned vortices

摘要： 利用引力的Unruh类比，我们研究了在静止且局部无旋的涡流中的声波传播，其中环流围绕一个长（旋转）圆柱体缠绕。 除了通常的散射解，我们发现了异常模式，这些模式局限于圆柱体附近并沿其轴线传播——类似于回声廊模式。 对于超音速流动速度（对应于有效能区），这些模式甚至可以具有零频率。 因此，它们应该与这种设置的稳定性或不稳定性问题相关。 显示英文摘要

摘要： Employing Unruh's analogy to gravity, we study sound propagation in stationary and locally irrotational vortex flows where the circulation is wound around a long (rotating) cylinder. Apart from the usual scattering solutions, we find anomalous modes which are bound to the vicinity of the cylinder and propagate along its axis -- similar to whispering gallery modes. For supersonic flow velocities (corresponding to an effective ergoregion), these modes can even have zero frequency. Thus they should be relevant for the question of stability or instability of this set-up.