{
  "annotation_id": "23f27eb9-4aec-45a5-8bce-6d38a370f8d9",
  "date_created": "2026-03-02T18:00:36.466000Z",
  "date_modified": "2026-03-02T18:00:36.466000Z",
  "file_hash": "56102c2fe555ed8f1e8553e369cee1ef8c20a8fd95752cda131af70ce874d39e",
  "private": false,
  "record": {
    "abstract": "The rigorous analytical calculation of the diffusion coefficient is performed\nfor the chaotic motion of a particle in a set of longitudinal waves with random\nphases and large amplitudes (~ A). A first step proves the existence of a\nquasilinear diffusion on a time scale ~ A^{-2/3} \\ln A. A second step uses this\nproperty to extend the result to asymptotic times by introducing the\nconditional probability distribution of position and velocity of an orbit at a\ngiven time when they are known at a previous time.",
    "arxiv_id": "physics/0111206",
    "authors": [
      "D. F. Escande",
      "Y. Elskens"
    ],
    "categories": [
      "physics.plasm-ph",
      "cond-mat.stat-mech",
      "nlin.CD"
    ],
    "journal_ref": "Acta Phys. Pol. B 33 (2002) 1073-1084",
    "title": "Quasilinear diffusion for the chaotic motion of a particle in a set of   longitudinal waves",
    "url": "https://arxiv.org/abs/physics/0111206"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "04abe3d4-bb3f-40c7-87e4-9f33fb29ae20",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}