{
  "id": "1409.7282",
  "version": "v1",
  "published": "2014-09-25T14:58:00.000Z",
  "updated": "2014-09-25T14:58:00.000Z",
  "title": "Exact finite-size corrections for the spanning-tree model under different boundary conditions",
  "authors": [
    "Nickolay Izmailian",
    "Ralph Kenna"
  ],
  "comment": "13 pages. arXiv admin note: text overlap with arXiv:1402.5856",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We express the partition functions of the spanning tree on finite square lattices under five different sets of boundary conditions (free, cylindrical, toroidal, M\\\"{o}bius strip, and Klein bottle) in terms of a principal partition function with twisted boundary conditions. Based on these expressions, we derive the exact asymptotic expansions of the logarithm of the partition function for each case. We have also established several groups of identities relating spanning-tree partition functions for the different boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-25T14:58:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "64.60.an",
      "64.60.De",
      "75.10.-b"
    ],
    "keywords": [
      "boundary conditions",
      "exact finite-size corrections",
      "spanning-tree model",
      "identities relating spanning-tree partition functions",
      "principal partition function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.91.022129",
      "journal": "Physical Review E",
      "year": 2015,
      "month": "Feb",
      "volume": 91,
      "number": 2,
      "pages": "022129"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvE..91b2129I"
    }
  }
}