{
  "annotation_id": "b50c89af-d094-45c2-a724-5a9ee547e753",
  "date_created": "2026-03-02T18:01:21.293000Z",
  "date_modified": "2026-03-02T18:01:21.293000Z",
  "file_hash": "526e1562aed2c4e609c6e91fd01c381051beffa266e650548c9b6145d89c3efe",
  "private": false,
  "record": {
    "abstract": "In the past many papers have appeared which simulated surface growth with\ndifferent growth models. The results showed that, if models differed only\nslightly in their `growth\u0027 rules, the resulting surfaces may belong to\ndifferent universality classes, i.e. they are described by different\ndifferential equations. In the present paper we describe a mapping of ``growth\nrules\u0027\u0027 to differential operators and give plausibility arguments for this\nmapping. We illustrate the validity of our theory by applying it to published\nresults.",
    "arxiv_id": "physics/9806033",
    "authors": [
      "W. E. Hagston",
      "H. Ketterl"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.59.2699",
    "title": "Growth Models And The Question Of Universality Classes",
    "url": "https://arxiv.org/abs/physics/9806033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b11a3625-73bc-4738-baa9-d6f6debf7584",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}