{
  "annotation_id": "742af5c1-87f2-48fa-bc88-3d6287255bf4",
  "date_created": "2026-03-02T18:00:59.999000Z",
  "date_modified": "2026-03-02T18:00:59.999000Z",
  "file_hash": "bda352ab8d38ca2b3564d8b3e73090db3502175896664251dac293643b5354da",
  "private": false,
  "record": {
    "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"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "18e857c5-9587-4278-9bb0-1b74799a4dcf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}