dorsal/arxiv
View SchemaAvoided crossings in three coupled oscillators as a model system of acoustic bubbles
| Authors | Masato Ida |
|---|---|
| Categories | |
| ArXiv ID | physics/0506080 |
| URL | https://arxiv.org/abs/physics/0506080 |
| DOI | 10.1103/PhysRevE.72.036306 |
| Journal | Phys. Rev. E 72, 036306 (2005) |
Abstract
The 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.
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"abstract": "The resonance frequencies and oscillation phases of three acoustically\ncoupled bubbles are examined to show that avoided crossings can appear in a\nmultibubble system. Via a simple coupled oscillator model, we show that if at\nleast three bubbles exist, it is possible for their resonance frequencies as\nfunctions of the separation distances between the bubbles to experience an\navoided crossing. Furthermore, by focusing our attention on the oscillation\nphases and based on analysis of the transition frequencies [M. Ida, Phys. Lett.\nA 297, 210 (2002); M. Ida, J. Phys. Soc. Jpn. 71, 1214 (2002)] of the coupled\nbubbles, we show that a distinct state exchange takes place between the bubbles\nat a point in the avoided crossing region, where a resonance frequency of the\ntriple-bubble system crosses with a transition frequency not corresponding to\nthe resonance frequencies.",
"arxiv_id": "physics/0506080",
"authors": [
"Masato Ida"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph"
],
"doi": "10.1103/PhysRevE.72.036306",
"journal_ref": "Phys. Rev. E 72, 036306 (2005)",
"title": "Avoided crossings in three coupled oscillators as a model system of acoustic bubbles",
"url": "https://arxiv.org/abs/physics/0506080"
},
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