{
  "annotation_id": "9972e466-6ac2-454d-9879-d66fc81f59e8",
  "date_created": "2026-03-02T18:00:29.163000Z",
  "date_modified": "2026-03-02T18:00:29.163000Z",
  "file_hash": "bea7f947eb0f6e0851ee7638f15f49f4c66ceecef22106b37012b8dace14209a",
  "private": false,
  "record": {
    "abstract": "Explicit formulas for the rotation frequency and the long-wavenumber\ndiffusion coefficients of global spirals with $m$ arms in Rayleigh-Benard\nconvection are obtained. Global spirals and parallel rolls share exactly the\nsame Eckhaus, zigzag and skewed-varicose instability boundaries. Global spirals\nseem not to have a characteristic frequency $\\omega_m$ or a typical size $R_m$,\nbut their product $\\omega_m R_m$ is a constant under given experimental\nconditions. The ratio $R_i/R_j$ of the radii of any two dislocations ($R_i$,\n$R_j$) inside a multi-armed spiral is also predicted to be constant. Some of\nthese results have been tested by our numerical work.",
    "arxiv_id": "patt-sol/9608010",
    "authors": [
      "Xiao-jun Li",
      "Hao-wen Xi",
      "J. D. Gunton"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.54.R3105",
    "title": "Dynamical Properties of Multi-Armed Global Spirals in Rayleigh-Benard   Convection",
    "url": "https://arxiv.org/abs/patt-sol/9608010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67fb6307-2826-42c6-80bd-f5524bd8959b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}