{
  "annotation_id": "57f792c8-0cf5-4434-ad85-0360b286ad4b",
  "date_created": "2026-03-02T18:00:28.612000Z",
  "date_modified": "2026-03-02T18:00:28.612000Z",
  "file_hash": "1503a8d2b2c99e941a5141c2a82ef98c5789a91697c203f06e0c73eadd09a90a",
  "private": false,
  "record": {
    "abstract": "The existence of stable links and knots is demonstrated in three-dimensional,\nbistable, chemical media. The reaction-diffusion medium segregates into regions\nof high and low concentration separated by sharp interfaces. The interfaces\nrepel at short distances so that domains with various topologies are possible\ndepending on the initial conditions and system parameters. Front instabilities\ncan give rise to knotted labyrinthine patterns. A lattice-gas model whose\nmean-field limit is the FitzHugh-Nagumo equation is described and implemented\nto carry out the simulations.",
    "arxiv_id": "patt-sol/9606003",
    "authors": [
      "Anatoly Malevanets",
      "Raymond Kapral"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.77.767",
    "journal_ref": "Phys. Rev. Lett. 77(4) 767-770, 1996",
    "title": "Links, Knots and Knotted Labyrinths in Bistable Systems",
    "url": "https://arxiv.org/abs/patt-sol/9606003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c5148900-d4c7-451c-bfa3-6d1432497216",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}