{
  "annotation_id": "8cc78392-4c1d-4064-829d-cda321a0fce4",
  "date_created": "2026-03-02T18:01:07.472000Z",
  "date_modified": "2026-03-02T18:01:07.472000Z",
  "file_hash": "d66ee7871e780ce266e4c8b62d5227ba45b3754028af020b15c44bc1b6d22161",
  "private": false,
  "record": {
    "abstract": "The concept of inverse statistics in turbulence has attracted much attention\nin the recent years. It is argued that the scaling exponents of the direct\nstructure functions and the inverse structure functions satisfy an inversion\nformula. This proposition has already been verified by numerical data using the\nshell model. However, no direct evidence was reported for experimental three\ndimensional turbulence. We propose to test the inversion formula using\nexperimental data of three dimensional fully developed turbulence by\nconsidering the energy dissipation rates in stead of the usual efforts on the\nstructure functions. The moments of the exit distances are shown to exhibit\nnice multifractality. The inversion formula between the direct and inverse\nexponents is then verified.",
    "arxiv_id": "physics/0603148",
    "authors": [
      "Jian-Liang Xu",
      "Wei-Xing Zhou",
      "Hai-Feng Liu",
      "Xin Gong",
      "Fu-Cheng Wang",
      "Zun-Hong Yu"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevE.73.056308",
    "journal_ref": "Physical Review E 73, 056308 (2006)",
    "title": "Inversion formula of multifractal energy dissipation in 3D fully   developed turbulence",
    "url": "https://arxiv.org/abs/physics/0603148"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c50c47f-8b87-4c47-8b2f-fafaadb61e6f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}