{
  "annotation_id": "9742aed5-e3ac-46e9-a491-9dd8e94fc47c",
  "date_created": "2026-03-02T18:00:35.983000Z",
  "date_modified": "2026-03-02T18:00:35.983000Z",
  "file_hash": "6ecafaba436c011ed8f628548d69ef97a2606467c0855276ae521ae5b719f900",
  "private": false,
  "record": {
    "abstract": "The problem of the dynamo effect for a Kraichnan incompressible helicity-free\nvelocity field is considered. Exploiting a quantum formalism first introduced\nby Kazantsev (A.P. Kazantsev, Sov. Phys. JETP 26, 1031-1034 (1968)), we show\nthat a critical magnetic Reynolds number exists for the presence of dynamo. The\nvalue of the Prandtl number influences the spatial distribution of the magnetic\nfield and its growth in time. The magnetic field correlation length is always\nthe largest between the diffusive scale and the viscous scale of the flow. In\nthe same way the field growth is characterized by a time scale that corresponds\nto the largest between the diffusive and the viscous characteristic time.",
    "arxiv_id": "physics/0106090",
    "authors": [
      "D. Vincenzi"
    ],
    "categories": [
      "physics.flu-dyn",
      "astro-ph"
    ],
    "journal_ref": "J. Stat. Phys., 106, 1073-1091 (2002)",
    "title": "The Kraichnan-Kazantsev dynamo",
    "url": "https://arxiv.org/abs/physics/0106090"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a69bafdb-8b28-4567-816a-4e89b316cdef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}