{
  "annotation_id": "a8bf6704-b21d-4f1b-bba1-f776548f9c7a",
  "date_created": "2026-03-02T18:00:39.865000Z",
  "date_modified": "2026-03-02T18:00:39.865000Z",
  "file_hash": "3e0cdcec889a1340a69d57d3590f5b6adbe55a81b11310a0f740422f35a74bfd",
  "private": false,
  "record": {
    "abstract": "We outline a statistical theory of turbulence based on the Lagrangian\nformulation of fluid motion. We derive a hierarchy of evolution equations for\nLagrangian N-point probability distributions as well as a functional equation\nfor a suitably defined probability functional which is the analog of Hopf\u0027s\nfunctional equation. Furthermore, we adress the derivation of a generalized\nFokker-Plank equation for the joint velocity - position probability density of\nN fluid particles.",
    "arxiv_id": "physics/0207015",
    "authors": [
      "R. Friedrich"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "title": "Lagrangian Probability Distributions of Turbulent Flows",
    "url": "https://arxiv.org/abs/physics/0207015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c100a8f-a712-4cc4-b21c-d5f775922793",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}