{
  "annotation_id": "dbab0548-d3dd-42eb-9436-08c505487c89",
  "date_created": "2026-03-02T18:00:59.999000Z",
  "date_modified": "2026-03-02T18:00:59.999000Z",
  "file_hash": "613d4d1520fcc47aebc0d938cad3f9ef0d15b2ed58540265774c4c973c786ece",
  "private": false,
  "record": {
    "abstract": "We present direct numerical simulations and Lagrangian averaged (also known\nas alpha-model) simulations of forced and free decaying magnetohydrodynamic\nturbulence in two dimensions. The statistics of sign cancellations of the\ncurrent at small scales is studied using both the cancellation exponent and the\nfractal dimension of the structures. The alpha-model is found to have the same\nscaling behavior between positive and negative contributions as the direct\nnumerical simulations. The alpha-model is also able to reproduce the time\nevolution of these quantities in free decaying turbulence. At large Reynolds\nnumbers, an independence of the cancellation exponent with the Reynolds numbers\nis observed.",
    "arxiv_id": "physics/0506088",
    "authors": [
      "Jonathan Pietarila-Graham",
      "Pablo D. Mininni",
      "Annick Pouquet"
    ],
    "categories": [
      "physics.plasm-ph",
      "astro-ph",
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.72.045301",
    "journal_ref": "Phys.Rev. E72 (2005) 045301",
    "title": "Cancellation exponent and multifractal structure in two-dimensional   magnetohydrodynamics: direct numerical simulations and Lagrangian averaged   modeling",
    "url": "https://arxiv.org/abs/physics/0506088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e5cbc8d3-2916-4377-97f1-50fd3b93bd8a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}