{
  "annotation_id": "80a1e475-0aab-49e3-8a92-229da7c35805",
  "date_created": "2026-03-02T18:00:46.615000Z",
  "date_modified": "2026-03-02T18:00:46.615000Z",
  "file_hash": "27b09c4f347711ff2b6ea5ed5063ab64fbd63bfc79ca2873b11bcca215db1414",
  "private": false,
  "record": {
    "abstract": "We present new point of view on the old problem, the Kramers problem. The\npassage from the Fokker-Planck equation to the Smoluchowski equation, including\ncorrections to the Smoluchowski current, is treated through an asymptotic\nexpansion of the solution of the stochastic dynamical equations. The case of an\nextremely weak force of friction is also discussed",
    "arxiv_id": "physics/0311042",
    "authors": [
      "A. Samoletov"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "journal_ref": "J. Stat. Phys. Vol. 96, Nos.5/6, p.1350 (1999)",
    "title": "A Remark on the Kramers Problem",
    "url": "https://arxiv.org/abs/physics/0311042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f7a8af4e-6a9b-4a28-8f3a-47b68ea78067",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}