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

Abstract

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.

20 pages, LaTeX

References in corpus (4)

• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Magnetic Force Exerted by the Aharonov-Bohm Line (II)
• Vortex vs spinning string: Iordanskii force and gravitational Aharonov-Bohm effect
• Scattering of Phonons by a Vortex in a Superfluid

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