{
  "annotation_id": "99d73cfc-06f8-4639-805b-92f2ff36f4ef",
  "date_created": "2026-03-02T18:00:28.614000Z",
  "date_modified": "2026-03-02T18:00:28.614000Z",
  "file_hash": "4d9eeae91d89aeca7d9382b75f75fbd1bb464dfc6f8139cd0bebdf17669946db",
  "private": false,
  "record": {
    "abstract": "We propose a mean-field model for describing the averaged properties of a\nclass of stochastic diffusion-limited growth systems. We then show that this\nmodel exhibits a morphology transition from a dense-branching structure with a\nconvex envelope to a dendritic one with an overall concave morphology. We have\nalso constructed an order parameter which describes the transition\nquantitatively. The transition is shown to be continuous, which can be verified\nby noting the non-existence of any hysteresis.",
    "arxiv_id": "patt-sol/9505001",
    "authors": [
      "Yuhai Tu",
      "Herbert Levine"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.52.5134",
    "title": "Mean Field Theory of the Morphology Transition in Stochastic Diffusion   Limited Growth",
    "url": "https://arxiv.org/abs/patt-sol/9505001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "57999c13-9d62-4ea5-a6a9-ffe8a0f20f7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}