{
  "annotation_id": "f3e735c9-18ed-41af-b5ad-3070bc578c5a",
  "date_created": "2026-03-02T18:00:29.163000Z",
  "date_modified": "2026-03-02T18:00:29.163000Z",
  "file_hash": "714b404c825e01f33437d1f380c22832eaf20f25d10204b8f00a69fe7a355e0d",
  "private": false,
  "record": {
    "abstract": "We present the first large scale numerical simulation of three-dimensional\nRayleigh-B\\\u0027enard convection near onset, under free-free boundary conditions\nfor a fluid of Prandtl number $\\sigma=0.5$. We find that a spatiotemporally\nchaotic state emerges immediately above onset, which we investigate as a\nfunction of the reduced control parameter $\\epsilon$. We conclude that the\ntransition from conduction to spatiotemporal chaos is second order and of\n``mean field\u0027\u0027 character. We also present a simple theory for the time-averaged\nconvective current. Finally, we show that the time-averaged structure factor\nsatisfies a scaling behavior with respect to the correlation length near onset.",
    "arxiv_id": "patt-sol/9610005",
    "authors": [
      "Hao-wen Xi",
      "Xiao-jun Li",
      "J. D. Gunton"
    ],
    "categories": [
      "patt-sol",
      "chao-dyn",
      "cond-mat",
      "nlin.CD",
      "nlin.PS",
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.78.1046",
    "title": "Direct Transition to Spatiotemporal Chaos in Low Prandtl Number Fluids",
    "url": "https://arxiv.org/abs/patt-sol/9610005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e1e5c9f-26ad-4db7-8cc5-e7348eee71b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}