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VOLUME 96 (2012) | ISSUE 10 | PAGE 749
Whispering gallery like modes along pinned vortices
Abstract
We study sound propagation in stationary and locally irrotational vortex flows where the circulation is wound around a long (rotating) cylinder, using Unruh's formalism of acoustic space-times. 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. These modes exist for subsonic and supersonic flow velocities. In the supersonic case (corresponding to an effective ergo-region in the acoustic space-time), they can even have zero frequency ω=0 and thus the associated quasi-particles with E=\hbar\omega=0 are easy to excite from an energetic point of view. Hence they should be relevant for the question of stability or instability of this setup.