{
  "annotation_id": "bfaa675b-5d19-48f1-ae68-f9da3d7b2e5e",
  "date_created": "2026-03-02T18:00:32.495000Z",
  "date_modified": "2026-03-02T18:00:32.495000Z",
  "file_hash": "922e3b11ffe7581f82c6c725b49cbf2bdf3bb9db9231ebb15b023af263d986c2",
  "private": false,
  "record": {
    "abstract": "It is shown using experimental and numerical data that within the traditional\ninertial subrange defined by where the third order structure function is linear\nthat the higher order structure function scaling exponents for longitudinal and\ntransverse structure functions converge only over larger scales, $r\u003er_S$, where\n$r_S$ has scaling intermediate between $\\eta$ and $\\lambda$ as a function of\n$R_\\lambda$. Below these scales, scaling exponents cannot be determined for any\nof the structure functions without resorting to procedures such as extended\nself-similarity (ESS). With ESS, different longitudinal and transverse higher\norder exponents are obtained that are consistent with earlier results. The\nrelationship of these statistics to derivative and pressure statistics, to\nturbulent structures and to length scales is discussed.",
    "arxiv_id": "physics/0005004",
    "authors": [
      "Robert M. Kerr",
      "Maurice Meneguzzi",
      "Toshiyuki Gotoh"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.CD"
    ],
    "doi": "10.1063/1.1373683",
    "title": "An inertial range length scale in structure functions",
    "url": "https://arxiv.org/abs/physics/0005004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3a58e5f2-6778-467b-9dba-720314a74811",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}