{
  "annotation_id": "75afe7b4-854f-48e5-a7f7-b24e19d855d7",
  "date_created": "2026-03-02T18:00:46.157000Z",
  "date_modified": "2026-03-02T18:00:46.157000Z",
  "file_hash": "79e4626327fb1afaab9bb3c62c6e99329598a252119437b0790306b7896d414b",
  "private": false,
  "record": {
    "abstract": "We have previously discussed the diffusion limited problem of the bounded\none-dimensional multitrap system where no external fiel is included and pay\nspecial attention to the transmission of the diffusing particles through the\nsystem of imperfect traps. We discuss here the case in which an external field\nis included to each trap and find not only the transmission but also the energy\nassociated with the diffusing particles in the presence and absence of such\nfields. From the energy we find the specific heat $C_h$ and show that for\ncertain values of the parameters associated with the multitrap system it\nbehaves in a manner which is suggestive of phase transition. Moreover, this\nphase transition is demonstrated not only through the conventional single peak\nat which the specific heat function is undifferentiable but also through the\nless frequent phenomenon of double peaks.",
    "arxiv_id": "physics/0308068",
    "authors": [
      "D. Bar"
    ],
    "categories": [
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevE.70.016607",
    "journal_ref": "Physical Review E, 70, 016607 (2004)",
    "title": "Phase transition in the bounded one-dimensional multitrap system",
    "url": "https://arxiv.org/abs/physics/0308068"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1c7326f1-1b5a-45ac-82da-0d26eed9e3eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}