{
  "annotation_id": "1433984a-d315-42fd-94e4-eb2761814088",
  "date_created": "2026-03-02T18:00:53.576000Z",
  "date_modified": "2026-03-02T18:00:53.576000Z",
  "file_hash": "3e3de044401b67dcadca146837160f25a81da302109964fba21102bba286d24a",
  "private": false,
  "record": {
    "abstract": "We consider the dynamics of systems of self propelling particles with\nnonholonomic constraints. A continuum model for a discrete algorithm used in\nworks by T. Vicsek et al. is proposed. For a case of planar geometry the finite\nflocking behavior is obtained. The circulation of the velocity field is found\nnot to be conserved as a consequence of the nonholomicity. The stability of\nordered motion with respect to noise is discussed. An analogy with the kinetics\nof charges in superconductors is noted.",
    "arxiv_id": "physics/0409046",
    "authors": [
      "V. L. Kulinskii",
      "V. I. Ratushnaya",
      "A. V. Zvelindovsky",
      "D. Bedeaux"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "title": "Collective behavior in the system of self propelling particles with   nonholonomic constraints",
    "url": "https://arxiv.org/abs/physics/0409046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "38c70e49-3122-4d53-83c5-3affc4f3a794",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}