{
  "annotation_id": "89e1b292-df56-434c-8392-9b8617f89593",
  "date_created": "2026-03-02T18:01:25.403000Z",
  "date_modified": "2026-03-02T18:01:25.403000Z",
  "file_hash": "1ffe4627baca328780bf405c5b5400c8bf72ea7d66dc09a897fda087683e1d81",
  "private": false,
  "record": {
    "abstract": "We study a model of flocking in order to describe the transitions during the\ncollective motion of organisms in three dimensions (e.g., birds). In this model\nthe particles representing the organisms are self-propelled, i.e., they move\nwith the same absolute velocity. In addition, the particles locally interact by\nchoosing at each time step the average direction of motion of their neighbors\nand the effects of fluctuations are taken into account as well. We present the\nfirst results for large scale flocking in the presence of noise in three\ndimensions. We show that depending on the control parameters both disordered\nand long-range ordered phases can be observed. The corresponding phase diagram\nhas a number of features which are qualitatively different from those typical\nfor the analogous equilibrium models.",
    "arxiv_id": "physics/9902021",
    "authors": [
      "A. Czirok",
      "M. Vicsek",
      "T. Vicsek"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio"
    ],
    "doi": "10.1016/S0378-4371(98)00468-3",
    "journal_ref": "Physica A 264, 299-304 (1999)",
    "title": "Collective motion of organisms in three dimensions",
    "url": "https://arxiv.org/abs/physics/9902021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "29c87986-85ce-4935-b5da-c224c6f9e6cd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}