{
  "annotation_id": "4386d938-1f89-4908-be02-59d8ef0c1897",
  "date_created": "2026-03-02T18:00:29.154000Z",
  "date_modified": "2026-03-02T18:00:29.154000Z",
  "file_hash": "6314942bab05e78200f7d1fd1680eceb74a5976d7ff8ea6f951879b5c2bc4d33",
  "private": false,
  "record": {
    "abstract": "We propose a phenomenological model for pattern formation in a vertically\nvibrated layer of granular material. This model exhibits a variety of stable\ncellular patterns including standing rolls and squares as well as localized\nobjects (oscillons and worms), similar to recent experimental\nobservations(Umbanhowar et al., 1996). The model is an amplitude equation for\nthe parametrical instability coupled to the mass conservation law. The\nstructure and dynamics of the solutions resemble closely the properties of\nlocalized and cellular patterns observed in the experiments.",
    "arxiv_id": "patt-sol/9703009",
    "authors": [
      "Lev Tsimring",
      "Igor Aranson"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevLett.79.213",
    "title": "Localized and Cellular Patterns in a Vibrated Granular Layer",
    "url": "https://arxiv.org/abs/patt-sol/9703009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb4ceb03-ac73-4b3e-9f23-4f229868344d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}