{
  "annotation_id": "99a496e3-374b-4dba-accc-b69516c30666",
  "date_created": "2026-03-02T18:01:14.205000Z",
  "date_modified": "2026-03-02T18:01:14.205000Z",
  "file_hash": "d787e4291b84359eca860d5564ac853fcbe17f074a156a5bf2834dd699b35de9",
  "private": false,
  "record": {
    "abstract": "A stochastic representation for the solutions of the Poisson-Vlasov equation\nis obtained. The representation involves both an exponential and a branching\nprocess. The stochastic representation, besides providing an alternative\nexistence proof and an intuitive characterization of the solutions, may also be\nused to obtain an intrinsic definition of the fluctuations.",
    "arxiv_id": "physics/0611186",
    "authors": [
      "R. Vilela Mendes",
      "Fernanda Cipriano"
    ],
    "categories": [
      "physics.plasm-ph",
      "physics.flu-dyn"
    ],
    "journal_ref": "Commun. Nonlinear Science and Num. Simulation 13 (2008) 221-226",
    "title": "A stochastic representation for the Poisson-Vlasov equation",
    "url": "https://arxiv.org/abs/physics/0611186"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "408e253d-fcf4-400f-86e6-b985d9f2d077",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}