{
  "annotation_id": "d7ca9a5f-49f6-49f8-ab76-8da5d748b5f0",
  "date_created": "2026-03-02T18:00:39.480000Z",
  "date_modified": "2026-03-02T18:00:39.480000Z",
  "file_hash": "e30f9af7070b7e6afeafb4d29ce108d5083de8dd093f5e69e70b2f29ce84370c",
  "private": false,
  "record": {
    "abstract": "New aspects of turbulence are uncovered if one considers flow motion from the\nperspective of a fluid particle (known as the Lagrangian approach) rather than\nin terms of a velocity field (the Eulerian viewpoint). Using a new experimental\ntechnique, based on the scattering of ultrasounds, we have obtained a direct\nmeasurement of particle velocities, resolved at all scales, in a fully\nturbulent flow. It enables us to approach intermittency in turbulence from a\ndynamical point of view and to analyze the Lagrangian velocity fluctuations in\nthe framework of random walks. We find experimentally that the elementary steps\nin the \u0027walk\u0027 have random uncorrelated directions but a magnitude that is\nextremely long-range correlated in time. Theoretically, we study a Langevin\nequation that incorporates these features and we show that the resulting\ndynamics accounts for the observed one- and two-point statistical properties of\nthe Lagrangian velocity fluctuations. Our approach connects the intermittent\nstatistical nature of turbulence to the dynamics of the flow.",
    "arxiv_id": "physics/0206013",
    "authors": [
      "N. Mordant",
      "J. Delour",
      "E. Leveque",
      "A. Arneodo",
      "J. -F. Pinton"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1103/PhysRevLett.89.254502",
    "title": "Long time correlations in Lagrangian dynamics: a key to intermittency in   turbulence",
    "url": "https://arxiv.org/abs/physics/0206013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "19246031-ea60-4e19-a7f6-14426a527bf0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}