Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex

Details Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex

1999-09-21

arxiv.org/abs/cond-mat/9909313v1

Physics

Condensed Matter

20 pages, LaTeX

Scientific paper

10.1103/PhysRevB.61.11780

I discuss the scattering of phonons by a vortex moving with respect to a superfluid condensate. This allows us to test the compatibility of the scattering-theory derivation of the Iordanskii force with the galilean invariance of the underlying fluid dynamics. In order to obtain the correct result we must retain $O(v_s^2)$ terms in the sound-wave equation, and this reinforces the interpretation, due to Volovik, of the Iordanskii force as an analogue of the gravitational Bohm-Aharonov effect.

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