{
  "annotation_id": "915fe0db-16e3-44c7-b53d-f3c5141962e0",
  "date_created": "2026-03-02T18:01:00.411000Z",
  "date_modified": "2026-03-02T18:01:00.411000Z",
  "file_hash": "d30503579d29a695becafd25f372968851cfd35fad263163ac5d60cbe0b63dd1",
  "private": false,
  "record": {
    "abstract": "We introduce a generalization of Obukhov\u0027s model [A.M. Obukhov, Adv. Geophys.\n6, 113 (1959)] for the description of the joint position-velocity statistics of\na single fluid particle in fully developed turbulence. In the presented model\nthe velocity is assumed to undergo a continuous time random walk. This takes\ninto account long time correlations. As a consequence the evolution equation\nfor the joint position-velocity probability distribution is a Fokker-Planck\nequation with a fractional time derivative. We determine the solution of this\nequation in the form of an integral transform and derive a relation for\narbitrary single time moments. Analytical solutions for the joint probability\ndistribution and its moments are given.",
    "arxiv_id": "physics/0509268",
    "authors": [
      "A. Baule",
      "R. Friedrich"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.data-an"
    ],
    "doi": "10.1016/j.physleta.2005.10.017",
    "journal_ref": "Physics Letters A 350 (2006) 167-173",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Investigation of a generalized Obukhov Model for Turbulence",
    "url": "https://arxiv.org/abs/physics/0509268"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "337ca2a7-a065-4f66-a22b-9b6e9a2a0604",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}