{
  "annotation_id": "9a6fd970-232a-4025-babb-39adb20a22bd",
  "date_created": "2026-03-02T18:00:29.420000Z",
  "date_modified": "2026-03-02T18:00:29.420000Z",
  "file_hash": "250631da09d386357e103098fe4f7e1a44c085898695e6dbfafb893a688201df",
  "private": false,
  "record": {
    "abstract": "The diffusion problem over a saddle is studied using a multi-dimensional\nLangevin equation. An analytical solution is derived for a quadratic potential\nand the probability to pass over the barrier deduced. A very simple solution is\ngiven for the one dimension problem and a general scheme is shown for higher\ndimensions.",
    "arxiv_id": "nucl-th/9911077",
    "authors": [
      "Y. Abe",
      "D. Boilley",
      "B. G. Giraud",
      "T. Wada"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevE.61.1125",
    "journal_ref": "Phys.Rev. E61 (2000) 1125-1133",
    "title": "Diffusion over a saddle with a Langevin equation",
    "url": "https://arxiv.org/abs/nucl-th/9911077"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b9a00ccf-1d17-475b-a9ef-ba4c26dfb711",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}