{
  "annotation_id": "55e99687-7bf2-4e43-9833-b94588d17d8c",
  "date_created": "2026-03-02T18:00:46.789000Z",
  "date_modified": "2026-03-02T18:00:46.789000Z",
  "file_hash": "426008dfebcc9162c4b0dfcd170f1a60be13f92fb7becde7356e289cb49608e4",
  "private": false,
  "record": {
    "abstract": "We investigate the effects of spatial discreteness of molecules in\nreaction-diffusion systems. It is found that discreteness within the so called\nKuramoto length can lead to a localization of molecules, resulting in novel\nsteady states that do not exist in the continuous case. These novel states are\nanalyzed theoretically as the fixed points of accelerated localized reactions,\nan approach that was verified to be in good agreement with stochastic particle\nsimulations. The relevance of this discreteness-induced state to biological\nintracellular processes is discussed.",
    "arxiv_id": "physics/0310083",
    "authors": [
      "Yuichi Togashi",
      "Kunihiko Kaneko"
    ],
    "categories": [
      "physics.chem-ph",
      "nlin.PS",
      "physics.bio-ph",
      "q-bio.SC"
    ],
    "doi": "10.1103/PhysRevE.70.020901",
    "journal_ref": "Phys. Rev. E 70, 020901 (2004)",
    "title": "Molecular Discreteness in Reaction-Diffusion Systems Yields Steady   States Not Seen in the Continuum Limit",
    "url": "https://arxiv.org/abs/physics/0310083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "910c362d-a224-4305-808d-7be95bda970a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}