Avoided crossings in three coupled oscillators as a model system of acoustic bubbles

Simple item page
dc.creatorIda, Masato
dc.date2005-06-09
dc.date2005-10-27
dc.date.accessioned2026-07-07T06:43:20Z
dc.date.available2026-07-07T06:43:20Z
dc.descriptionThe resonance frequencies and oscillation phases of three acoustically coupled bubbles are examined to show that avoided crossings can appear in a multibubble system. Via a simple coupled oscillator model, we show that if at least three bubbles exist, it is possible for their resonance frequencies as functions of the separation distances between the bubbles to experience an avoided crossing. Furthermore, by focusing our attention on the oscillation phases and based on analysis of the transition frequencies [M. Ida, Phys. Lett. A 297, 210 (2002); M. Ida, J. Phys. Soc. Jpn. 71, 1214 (2002)] of the coupled bubbles, we show that a distinct state exchange takes place between the bubbles at a point in the avoided crossing region, where a resonance frequency of the triple-bubble system crosses with a transition frequency not corresponding to the resonance frequencies.
dc.description16 pages, 6 figures, REVTeX4; Fig. 3 replaced, present address given
dc.identifierhttps://arxiv.org/abs/physics/0506080
dc.identifierhttp://arxiv.org/abs/physics/0506080
dc.identifierPhys. Rev. E 72, 036306 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.036306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102375
dc.subjectFluid Dynamics
dc.subjectAtmospheric and Oceanic Physics
dc.titleAvoided crossings in three coupled oscillators as a model system of acoustic bubbles
dc.typetext

Files

Collections

arXiv