{
  "id": "1312.5984",
  "version": "v2",
  "published": "2013-12-20T15:18:55.000Z",
  "updated": "2014-04-25T20:50:46.000Z",
  "title": "Non-Standard Finite-Size Scaling at First-Order Phase Transitions",
  "authors": [
    "Marco Mueller",
    "Wolfhard Janke",
    "Desmond A. Johnston"
  ],
  "comment": "Minor change of title (canonical ->standard) to match the version accepted for publication, some further explanation on numerical subtleties added, wider applicability of effect discussed, typos (hopefully) fixed, references added",
  "journal": "Phys. Rev. Lett. 112 200601 (2014)",
  "doi": "10.1103/PhysRevLett.112.200601",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We note that the standard inverse system volume scaling for finite-size corrections at a first-order phase transition (i.e., 1/L^3 for an L x L x L lattice in 3D) is transmuted to 1/L^2 scaling if there is an exponential low-temperature phase degeneracy. The gonihedric Ising model which has a four-spin interaction, plaquette Hamiltonian provides an exemplar of just such a system. We use multicanonical simulations of this model to generate high-precision data which provides strong confirmation of the non-standard finite-size scaling law. The dual to the gonihedric model, which is an anisotropically coupled Ashkin-Teller model, has a similar degeneracy and also displays the non-standard scaling.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-25T20:50:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "05.70.Jk",
      "64.60.-i",
      "75.10.Hk"
    ],
    "keywords": [
      "first-order phase transition",
      "non-standard finite-size scaling",
      "exponential low-temperature phase degeneracy",
      "standard inverse system volume scaling"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2014,
      "month": "May",
      "volume": 112,
      "number": 20,
      "pages": 200601
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1273670,
      "adsabs": "2014PhRvL.112t0601M"
    }
  }
}