{
  "annotation_id": "35d747b7-471c-422f-87df-13eebb41481f",
  "date_created": "2026-03-02T18:01:24.040000Z",
  "date_modified": "2026-03-02T18:01:24.040000Z",
  "file_hash": "85cb077c7dc116611298255ffd3b73ca5bc543a10ab8f9b15191d5f066001339",
  "private": false,
  "record": {
    "abstract": "With the aim of understanding the emergence of collective motion from local\ninteractions of organisms in a \"noisy\" environment, we study biologically\ninspired, inherently non-equilibrium models consisting of self-propelled\nparticles. In these models particles interact with their neighbors by turning\ntowards the local average direction of motion. In the limit of vanishing\nvelocities this behavior results in a dynamics analogous to some Monte Carlo\nrealization of equilibrium ferromagnets. However, numerical simulations\nindicate the existence of new types of phase transitions which are not present\nin the corresponding ferromagnets. In particular, here we demonstrate both\nnumerically and analytically that even in certain one dimensional\nself-propelled particle systems an ordered phase exists for finite noise\nlevels.",
    "arxiv_id": "physics/9902023",
    "authors": [
      "A. Czirok",
      "T. Vicsek"
    ],
    "categories": [
      "physics.bio-ph",
      "q-bio"
    ],
    "doi": "10.1007/BFb0105013",
    "title": "Collective Motion",
    "url": "https://arxiv.org/abs/physics/9902023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "87e9c51a-42cd-47dd-8ca6-610694fbfb32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}