検索対象:     
報告書番号:
※ 半角英数字
 年 ~ 
 年

複数気泡系モデルとしての3結合振動子に観測されるavoided crossing

Avoided crossings observed in three coupled oscillators as a model of acoustically coupled bubbles

井田 真人

Ida, Masato

流体中で音響的に相互作用する3つの気泡の共振周波数と脈動位相について議論し、複数気泡系にavoided crossingが起こりうることを示す。結合振動子モデルを用いた解析により、気泡が3つ以上存在し相互作用する場合には、気泡間距離の関数として示された共振周波数がavoided crossingを示しうることを明らかにする。さらに、気泡の脈動位相と遷移周波数[Ida, Phys. Lett. A 297, 210 (2002); J. Phys. Soc. Jpn. 71, 1214 (2002)]に着目することで、avoided crossing領域において気泡間で明確な状態交換がなされることを示す。この状態交換は、共振周波数には相当しない遷移周波数が共振周波数と交わる点上で引き起こされる。

The resonance frequencies and oscillation phases of three acoustically coupled bubbles in a fluid are examined to show that avoided crossings can appear in a few-bubble system. Using 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 the transition frequencies [Ida, Phys. Lett. A 297, 210 (2002); 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.

Access

:

- Accesses

InCites™

:

Altmetrics

:

[CLARIVATE ANALYTICS], [WEB OF SCIENCE], [HIGHLY CITED PAPER & CUP LOGO] and [HOT PAPER & FIRE LOGO] are trademarks of Clarivate Analytics, and/or its affiliated company or companies, and used herein by permission and/or license.