{
  "annotation_id": "d87943e4-08e6-456b-bf63-65e005dc280e",
  "date_created": "2026-03-02T18:00:29.381000Z",
  "date_modified": "2026-03-02T18:00:29.381000Z",
  "file_hash": "f17422b1cecbf7479dc4498e0c1c5d6a0aef404c3a4f1eb4e8d39c0eb8636b62",
  "private": false,
  "record": {
    "abstract": "The dynamics of curved vortex filaments is studied analytically and\nnumerically in the framework of a three-dimensional complex Ginzburg-Landau\nequation (CGLE). It is proved that a straight vortex line is unstable with\nrespect to spontaneous stretching and bending in a certain range of parameters\nof the CGLE, resulting in formation of persistent entangled vortex\nconfigurations. The analysis shows that the standard approach relating the\nvelocity of the filament with the local curvature, is insufficient to describe\nthe instability and self-generation of vorticity.",
    "arxiv_id": "patt-sol/9705009",
    "authors": [
      "Igor Aranson",
      "Alan Bishop"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "title": "Stretching of vortex lines and generation of vorticity in the   three-dimensional complex Ginzburg-Landau Equation",
    "url": "https://arxiv.org/abs/patt-sol/9705009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "66f889ad-26d3-4bbd-b0e7-59031daa7267",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}