Global singularity-free solution of the Iordanskii force problem
arXiv:cond-mat/0608053 · doi:10.1103/PhysRevB.74.224503
Abstract
We present a derivation of the transverse force acting on a hydrodynamic vortex in the presence of an incoming sound wave from a global solution of the scattering problem, using the method of matched asymptotic expansions. The solution presented includes a detailed treatment of the interaction of the incident wave with the vortex core, and is free from the singularities in the momentum exchange between vortex and sound wave which have led to contradictory results for the value of the transverse force in the literature.
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References in corpus (14)
- Excitation of phonons in a Bose-Einstein condensate by light scattering
- The Magnus force in superfluids and superconductors
- Transverse force on a quantized vortex in a superfluid
- Acoustic Energy and Momentum in a Moving Medium
- Wave Equation for Sound in Fluids with Vorticity
- Iordanskii Force and the Gravitational Aharonov-Bohm effect for a Moving Vortex
- Magnetic Force Exerted by the Aharonov-Bohm Line (II)
- Vortex vs spinning string: Iordanskii force and gravitational Aharonov-Bohm effect
- Interactions of Collective Excitations with Vortices in Superfluid Systems
- Magnus and Iordanskii Forces in Superfluids
- Berry Phase Effects on Dynamics of Quasiparticles in a Superfluid with a Vortex
- Vortex Dynamics in the Two-Fluid Model
- Scattering of Phonons by a Vortex in a Superfluid
- Comment on "Transverse Force on a Quantized Vortex in a Superfluid"
Cited by in corpus (6)
- Finite-temperature dynamics of a single vortex in a Bose-Einstein condensate: Equilibrium precession and rotational symmetry breaking
- Vortex dynamics in superfluids governed by an interacting gauge theory
- Modelling of vorticity, sound and their interaction in two-dimensional superfluids
- Propagation of sound on line vortices is superfluids: role of ergoregions
- Quantum vortex dynamics in two-dimensional neutral superfluids
- Dynamics of quantum vortices at finite temperature