{
  "annotation_id": "148ed0e7-43c4-48cf-8199-e86474c57aaa",
  "date_created": "2026-03-02T18:02:50.632000Z",
  "date_modified": "2026-03-02T18:02:50.632000Z",
  "file_hash": "7fa6fd7d8c28cc8cfbf0c65438f5886bdb9e7dad54c058db0e6cdb08160a280d",
  "private": false,
  "record": {
    "abstract": "In this article, I have investigated statistical mechanics of a non-stretched\nelastica in two dimensional space using path integral method. In the\ncalculation, the MKdV hierarchy naturally appeared as the equations including\nthe temperature fluctuation.I have classified the moduli of the closed elastica\nin heat bath and summed the Boltzmann weight with the thermalfluctuation over\nthe moduli. Due to the bilinearity of the energy functional,I have obtained its\nexact partition function.By investigation of the system,I conjectured that an\nexpectation value at a critical point of this system obeys the Painlev\\\u0027e\nequation of the first kind and its related equations extended by the KdV\nhierarchy.Furthermore I also commented onthe relation between the MKdV\nhierarchy and BRS transformationin this system.",
    "arxiv_id": "solv-int/9707003",
    "authors": [
      "Shigeki Matsutani"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/11/017",
    "title": "Statistical Mechanics of Elastica on Plane as a Model of Supercoiled   DNA-Origin of the MKdV hierarchy-",
    "url": "https://arxiv.org/abs/solv-int/9707003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "16c3d00f-d481-4ec3-b78b-b7dd242e99c1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}