{
  "annotation_id": "e1fb5821-ac62-4e38-97f3-bd031918eed7",
  "date_created": "2026-03-02T18:00:46.560000Z",
  "date_modified": "2026-03-02T18:00:46.560000Z",
  "file_hash": "e878628ae42d6ecf7dbc0292785522085663c425bbbc58b9f701975b7be90efe",
  "private": false,
  "record": {
    "abstract": "We address the problem of differences between longitudinal and transverse\nvelocity increments in isotropic small scale turbulence. The relationship of\nthese two quantities is analyzed experimentally by means of stochastic\nMarkovian processes leading to a phenomenological Fokker- Planck equation from\nwhich a generalization of the Karman equation is derived. From these results, a\nsimple relationship between longitudinal and transverse structure functions is\nfound which explains the difference in the scaling properties of these two\nstructure functions.",
    "arxiv_id": "physics/0309106",
    "authors": [
      "M. Siefert",
      "J. Peinke"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.70.015302",
    "title": "On different cascade-speeds for longitudinal and transverse velocity   increments",
    "url": "https://arxiv.org/abs/physics/0309106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ffe8a667-b218-4e82-8309-b9a1b0a559aa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}