{
  "annotation_id": "8f78daa5-9b2c-44d0-af5a-64b987ab1007",
  "date_created": "2026-03-02T18:01:49.545000Z",
  "date_modified": "2026-03-02T18:01:49.545000Z",
  "file_hash": "0d183807a4ead553711dadbeb215794c2b2b080e9f4b32beeb3668ed549421e5",
  "private": false,
  "record": {
    "abstract": "We have previously studied properties of a one-dimensional potential with $N$\nequally spaced identical barriers in a (fixed) finite interval for both finite\nand infinite $N$. It was observed that scattering and spectral properties\ndepend sensitively on the ratio $c$ of spacing to width of the barriers (even\nin the limit $N \\to \\infty$). We compute here the specific heat of an ensemble\nof such systems and show that there is critical dependence on this parameter,\nas well as on the temperature, strongly suggestive of phase transitions.",
    "arxiv_id": "quant-ph/0112165",
    "authors": [
      "D. Bar",
      "L. P. Horwitz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0953-4075/35/23/314",
    "journal_ref": "Jour. Phys. B, 35, 4915-4931, (2002)",
    "title": "Phase transitions in a one-dimensional multibarrier potential of finite   range",
    "url": "https://arxiv.org/abs/quant-ph/0112165"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a0534631-b285-4499-9c59-8aa631ed505e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}