Quasinormal ringing of acoustic black holes in Laval nozzles: Numerical simulations

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dc.creatorOkuzumi, Satoshi
dc.creatorSakagami, Masa-aki
dc.date2007-03-13
dc.date2007-08-29
dc.date.accessioned2026-07-07T11:01:48Z
dc.date.available2026-07-07T11:01:48Z
dc.descriptionQuasinormal ringing of acoustic black holes in Laval nozzles is discussed. The equation for sounds in a transonic flow is written into a Schrödinger-type equation with a potential barrier, and the quasinormal frequencies are calculated semianalytically. From the results of numerical simulations, it is shown that the quasinormal modes are actually excited when the transonic flow is formed or slightly perturbed, as well as in the real black hole case. In an actual experiment, however, the purely-outgoing boundary condition will not be satisfied at late times due to the wave reflection at the end of the apparatus, and a late-time ringing will be expressed as a superposition of "boxed" quasinormal modes. It is shown that the late-time ringing damps more slowly than the ordinary quasinormal ringing, while its central frequency is not greatly different from that of the ordinary one. Using this fact, an efficient way for experimentally detecting the quasinormal ringing of an acoustic black hole is discussed.
dc.description9 pages, 8 figures, accepted for publication in Physical Review D
dc.identifierhttps://arxiv.org/abs/gr-qc/0703070
dc.identifierhttp://arxiv.org/abs/gr-qc/0703070
dc.identifierPhys.Rev.D76:084027,2007
dc.identifierdoi:10.1103/PhysRevD.76.084027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188059
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectFluid Dynamics
dc.titleQuasinormal ringing of acoustic black holes in Laval nozzles: Numerical simulations
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