{
  "annotation_id": "0cc7f1ce-c3f3-44f6-bb8f-70de443c0fc1",
  "date_created": "2026-03-02T18:00:29.158000Z",
  "date_modified": "2026-03-02T18:00:29.158000Z",
  "file_hash": "8a6e5194db9da653b8e90f30d0d2047f4dc8ae529533438e921ef646daa483af",
  "private": false,
  "record": {
    "abstract": "We derive the exact equation of motion for a vortex in two- and three-\ndimensional non-relativistic systems governed by the Ginzburg-Landau equation\nwith complex coefficients. The velocity is given in terms of local gradients of\nthe magnitude and phase of the complex field and is exact also for arbitrarily\nsmall inter-vortex distances. The results for vortices in a superfluid or a\nsuperconductor are recovered.",
    "arxiv_id": "patt-sol/9611001",
    "authors": [
      "Ola Tornkvist",
      "Elsebeth Schroder"
    ],
    "categories": [
      "patt-sol",
      "chao-dyn",
      "cond-mat.supr-con",
      "hep-th",
      "nlin.CD",
      "nlin.PS",
      "physics.chem-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.78.1908",
    "journal_ref": "Phys.Rev.Lett.78:1908-1911,1997",
    "title": "Vortex Dynamics in Dissipative Systems",
    "url": "https://arxiv.org/abs/patt-sol/9611001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a6231056-d062-47ca-9687-fc1a57482b61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}