{
  "annotation_id": "31d0a894-9505-4dcf-a38d-ee222a233cf9",
  "date_created": "2026-03-02T18:01:25.023000Z",
  "date_modified": "2026-03-02T18:01:25.023000Z",
  "file_hash": "9dc38ae4b382cc7ce539369d550a1e41fa923f8c400c7fd99476b97f15756f17",
  "private": false,
  "record": {
    "abstract": "We investigate the solutions to the Lorentz-Dirac equation and show that its\nsolution flow has a structure identical to the one of renormalization group\nflows in critical phenomena. The physical solutions of the Lorentz-Dirac\nequation lie on the critical surface. The critical surface is repelling, i.e.\nany slight deviation from it is amplified and as a result the solution runs\naway to infinity. On the other hand, Dirac\u0027s asymptotic condition (acceleration\nvanishes for long times) forces the solution to be on the critical manifold.\nThe critical surface can be determined perturbatively. Thereby one obtains an\neffective second order equation, which we apply to various cases, in particular\nto the motion of an electron in a Penning trap.",
    "arxiv_id": "physics/9911027",
    "authors": [
      "Herbert Spohn"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.class-ph"
    ],
    "doi": "10.1209/epl/i2000-00268-x",
    "journal_ref": "Europhys.Lett.49:287-292,2000",
    "title": "The critical manifold of the Lorentz-Dirac equation",
    "url": "https://arxiv.org/abs/physics/9911027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a4eb8b23-af83-48b6-a2f6-3c7a2a14bfaf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}