{
  "annotation_id": "d62ae2f9-241c-4749-8614-73d91f2e1f2b",
  "date_created": "2026-03-02T18:00:29.440000Z",
  "date_modified": "2026-03-02T18:00:29.440000Z",
  "file_hash": "c948923202c0ebe75f19243295c06cedd264415759c448889fc16dad294e9619",
  "private": false,
  "record": {
    "abstract": "We investigate the nature of the parallel-roll to spiral-defect-chaos (SDC)\ntransition in Rayleigh-Benard convection, based on the generalized\nSwift-Hohenberg model. We carry out extensive, systematic numerical studies by,\non one branch, increasing the control parameter gradually from the parallel\nroll regime to the SDC regime and, on the other branch, decreasing it in the\nopposite manner. We find that the data of several time-averaged global\nquantities all form hysteretic loops from the two branches. We also discuss\nseveral possible scenarios for the transition and analyze our data for SDC\naccordingly. We conclude that the roll-to-SDC transition is first-order in\ncharacter and that the correlation length diverges at the conduction to\nconvection onset. We further postulate that this transition can be understood\nsomewhat similar to the hexagon-to-roll transition in non-Boussinesq fluids.\nFinally we comment on the differences between our conclusion and those in two\nexperiments.",
    "arxiv_id": "patt-sol/9708002",
    "authors": [
      "Xiao-jun Li",
      "Hao-wen Xi",
      "J. D. Gunton"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.57.1705",
    "title": "Nature of Roll to Spiral-Defect-Chaos Transition",
    "url": "https://arxiv.org/abs/patt-sol/9708002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "074b6a32-180c-4309-a5ce-6b3af24e1df6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}