{
  "annotation_id": "5ef34b10-7fe2-4119-bd2d-84da05b6be7e",
  "date_created": "2026-03-02T18:00:52.896000Z",
  "date_modified": "2026-03-02T18:00:52.896000Z",
  "file_hash": "2e32ca389cb2ebb78b2a455deec123d5ae37ad757ab9d207174266937631b707",
  "private": false,
  "record": {
    "abstract": "The turbulent Prandtl number has been calculated in the two-loop\napproximation of the $\\eps$ expansion of the stochastic theory of turbulence.\nThe strikingly small value obtained for the two-loop correction explains the\ngood agreement of the earlier one-loop result with the experiment. This\nsituation is drastically different from other available nontrivial two-loop\nresults, which exhibit corrections of the magnitude of the one-loop term. The\nreason is traced to the mutual cancellation of additional divergences appearing\nin two dimensions which have had a major effect on the results of previous\ncalculations of other quantities.",
    "arxiv_id": "physics/0412019",
    "authors": [
      "L. Ts. Adzhemyan",
      "J. Honkonen",
      "T. L. Kim",
      "L. Sladkoff"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.71.056311",
    "journal_ref": "Phys. Rev. E 71, 056311 (2005)",
    "title": "Two-loop calculation of the turbulent Prandtl number",
    "url": "https://arxiv.org/abs/physics/0412019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "629e71af-9159-4928-907a-acf227ba0694",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}