{
  "annotation_id": "e56d1d69-9ea6-41be-98b3-92ed2dde12cd",
  "date_created": "2026-03-02T18:00:29.288000Z",
  "date_modified": "2026-03-02T18:00:29.288000Z",
  "file_hash": "d2a02527cf2c7b09ea8ba0174c0ac6585fecc79bdc8f61b6cac2206d3a437ad7",
  "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 shown that a straight vortex line is unstable with\nrespect to spontaneous stretching and bending in a substantial range of\nparameters of the CGLE, resulting in formation of persistent entangled vortex\nconfigurations. The boundary of the three-dimensional instability in parameter\nspace is determined. Near the stability boundary, the supercritical saturation\nof the instability is found, resulting in the formation of stable helicoidal\nvortices.",
    "arxiv_id": "patt-sol/9712004",
    "authors": [
      "I. S. Aranson",
      "A. R. Bishop",
      "L. Kramer"
    ],
    "categories": [
      "patt-sol",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.57.5276",
    "title": "The dynamics of vortex lines in the three-dimensional complex   Ginzburg-Landau equation: instability, stretching, entanglement, and helices",
    "url": "https://arxiv.org/abs/patt-sol/9712004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "15a5acab-cfe4-445b-a977-5df9c4d5e1d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}