{
  "annotation_id": "54dfe30f-1aed-4496-b6a4-828c1ae50c17",
  "date_created": "2026-03-02T18:00:32.424000Z",
  "date_modified": "2026-03-02T18:00:32.424000Z",
  "file_hash": "0e76fba8f1d12bc342ce5792561bb22c8fd1139a54d0279be3522b611fc3677e",
  "private": false,
  "record": {
    "abstract": "Autocatalytic reaction system with a small number of molecules is studied\nnumerically by stochastic particle simulations. A novel state due to\nfluctuation and discreteness in molecular numbers is found, characterized as\nextinction of molecule species alternately in the autocatalytic reaction loop.\nPhase transition to this state with the change of the system size and flow is\nstudied, while a single-molecule switch of the molecule distributions is\nreported. Relevance of the results to intracellular processes are briefly\ndiscussed.",
    "arxiv_id": "physics/0008238",
    "authors": [
      "Yuichi Togashi",
      "Kunihiko Kaneko"
    ],
    "categories": [
      "physics.bio-ph",
      "cond-mat.stat-mech",
      "nlin.AO",
      "q-bio.SC"
    ],
    "doi": "10.1103/PhysRevLett.86.2459",
    "journal_ref": "Phys. Rev. Lett. 86, 2459 (2001)",
    "title": "Transitions Induced by the Discreteness of Molecules in a Small   Autocatalytic System",
    "url": "https://arxiv.org/abs/physics/0008238"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8aba30a2-cb31-48da-929e-f7de5c59c962",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}