{
  "annotation_id": "d85839e2-b41e-4ddb-b4f5-c843c8f3db12",
  "date_created": "2026-03-02T18:00:29.355000Z",
  "date_modified": "2026-03-02T18:00:29.355000Z",
  "file_hash": "98686a0a64161877ccdf837a0efcf47f6a97d1f42c7dd55a9040f6e4d8eedf62",
  "private": false,
  "record": {
    "abstract": "We study the kinetics of phase transitions in a Rayleigh-Benard system after\nonset of convection using 2D Swift-Hohenberg equation. An initially uniform\nstate evolves to one whose ground state is spatially periodic. We confirmed\nprevious results which showed that dynamical scaling occurs at medium quench\n($\\epsilon = 0.25$) with scaling exponents 1/5 and 1/4 under zero noise and\nfinite noise respectively. We find logarithmic scaling behavior for a deep\nquench ($\\epsilon = 0.75$) at zero noise. A simple method is devised to measure\nthe proxy of domain wall length. We find that the energy and domain wall length\nexhibit scaling behavior with the same exponent. For $\\epsilon = 0.25$, the\nscaling exponents are 1/4 and 0.3 at zero and finite noise respectively.",
    "arxiv_id": "patt-sol/9808001",
    "authors": [
      "Qing Hou",
      "Shin-ichi Sasa",
      "Nigel Goldenfeld"
    ],
    "categories": [
      "patt-sol",
      "cond-mat.soft",
      "nlin.PS"
    ],
    "doi": "10.1016/S0378-4371(96)00480-3",
    "journal_ref": "Physica A 239, 219-226 (1997)",
    "title": "Dynamical Scaling Behavior of the Swift-Hohenberg Equation Following a   Quench to the Modulated State",
    "url": "https://arxiv.org/abs/patt-sol/9808001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fcffa16e-d772-4c53-bccb-2057194caba0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}