Riemannian geometry of irrotational vortex acoustics

Simple item page
dc.creatorFischer, Uwe R.
dc.creatorVisser, Matt
dc.date2001-10-10
dc.date2002-02-07
dc.date.accessioned2026-07-07T07:35:51Z
dc.date.available2026-07-07T07:35:51Z
dc.descriptionWe consider acoustic propagation in an irrotational vortex, using the technical machinery of differential geometry to investigate the ``acoustic geometry'' that is probed by the sound waves. The acoustic space-time curvature of a constant circulation hydrodynamical vortex leads to deflection of phonons at appreciable distances from the vortex core. The scattering angle for phonon rays is shown to be quadratic in the small quantity $Γ/(2πcb)$, where $Γ$ is the vortex circulation, $c$ the speed of sound, and $b$ the impact parameter.
dc.description4 pages, 2 figures, RevTex4. Discussion of focal length added; to appear in Physical Review Letters
dc.identifierhttps://arxiv.org/abs/cond-mat/0110211
dc.identifierhttp://arxiv.org/abs/cond-mat/0110211
dc.identifierPhys.Rev.Lett. 88 (2002) 110201
dc.identifierdoi:10.1103/PhysRevLett.88.110201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120235
dc.subjectCondensed Matter
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRiemannian geometry of irrotational vortex acoustics
dc.typetext

Files

Collections

arXiv