{
  "annotation_id": "58197335-b3d0-427e-b460-8600a16ea493",
  "date_created": "2026-03-02T18:01:21.561000Z",
  "date_modified": "2026-03-02T18:01:21.561000Z",
  "file_hash": "5561baaeb79e040c3d4327bf38b2332e99069730eb3f81b199eda722d5e0a2b5",
  "private": false,
  "record": {
    "abstract": "Numerical evidence for a finite-time singularity in ideal 3D\nmagnetohydrodynamics (MHD) is presented. The simulations start from two\ninterlocking magnetic flux rings with no initial velocity. The magnetic\ncurvature force causes the flux rings to shrink until they come into contact.\nThis produces a current sheet between them. In the ideal compressible\ncalculations, the evidence for a singularity in a finite time $t_c$ is that the\npeak current density behaves like $|J|_\\infty \\sim 1/(t_c-t)$ for a range of\nsound speeds (or plasma betas). For the incompressible calculations consistency\nwith the compressible calculations is noted and evidence is presented that\nthere is convergence to a self-similar state. In the resistive reconnection\ncalculations the magnetic helicity is nearly conserved and energy is\ndissipated.",
    "arxiv_id": "physics/9812017",
    "authors": [
      "Robert M. Kerr",
      "Axel Brandenburg"
    ],
    "categories": [
      "physics.plasm-ph",
      "astro-ph",
      "chao-dyn",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevLett.83.1155",
    "title": "Evidence for a singularity in ideal magnetohydrodynamics: implications   for fast reconnection",
    "url": "https://arxiv.org/abs/physics/9812017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9025796-3aee-415b-87e7-49d4e7812bab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}