{
  "annotation_id": "24ac8da4-b414-4453-902a-36ca4e02347b",
  "date_created": "2026-03-02T18:00:50.497000Z",
  "date_modified": "2026-03-02T18:00:50.497000Z",
  "file_hash": "5cb4704c6ef80e1e1f987f04e6c95eacd6f65126ce9758145cd717d56b627201",
  "private": false,
  "record": {
    "abstract": "We introduce a prototype model for globally-coupled oscillators in which each\nelement is given an oscillation frequency and a preferential oscillation\ndirection (polarization), both randomly distributed. We found two collective\ntransitions: to phase synchronization and to polarization ordering. Introducing\na global-phase and a polarization order parameters, we show that the transition\nto global-phase synchrony is found when the coupling overcomes a critical value\nand that polarization order enhancement can not take place before global-phase\nsynchrony. We develop a self-consistent theory to determine both order\nparameters in good agreement with numerical results.",
    "arxiv_id": "physics/0403038",
    "authors": [
      "Alessandro Scire",
      "Pere Colet",
      "Maxi San Miguel"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1103/PhysRevE.70.035201",
    "title": "Phase Synchronization and Polarization Ordering of Globally-Coupled   Oscillators",
    "url": "https://arxiv.org/abs/physics/0403038"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8646afc3-1da3-4825-9efa-2f53e033f24e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}