{
  "annotation_id": "e6973a31-5fc0-4639-92e5-38948ce8d329",
  "date_created": "2026-03-02T18:01:20.659000Z",
  "date_modified": "2026-03-02T18:01:20.659000Z",
  "file_hash": "56b213fb274d311a656c252da34ba3ecf3bb16017f9d21102ce5047ab97c7125",
  "private": false,
  "record": {
    "abstract": "A cellular automaton model is presented for random walkers with biologically\nmotivated interactions favoring local alignment and leading to collective\nmotion or swarming behavior. The degree of alignment is controlled by a\nsensitivity parameter, and a dynamical phase transition exhibiting spontaneous\nbreaking of rotational symmetry occurs at a critical parameter value. The model\nis analyzed using nonequilibrium mean field theory: Dispersion relations for\nthe critical modes are derived, and a phase diagram is constructed. Mean field\npredictions for the two critical exponents describing the phase transition as a\nfunction of sensitivity and density are obtained analytically.",
    "arxiv_id": "physics/9706008",
    "authors": [
      "H. J. Bussemaker",
      "A. Deutsch",
      "E. Geigant"
    ],
    "categories": [
      "physics.bio-ph",
      "cond-mat.stat-mech"
    ],
    "doi": "10.1103/PhysRevLett.78.5018",
    "journal_ref": "Phys. Rev. Lett. 78, 5018-5021 (1997)",
    "title": "Mean-field analysis of a dynamical phase transition in a cellular   automaton model for collective motion",
    "url": "https://arxiv.org/abs/physics/9706008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8d1a5e99-b44e-4d49-a924-b8a9bea84faf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}