{
  "id": "1206.5062",
  "version": "v2",
  "published": "2012-06-22T06:13:16.000Z",
  "updated": "2014-02-28T05:52:21.000Z",
  "title": "Generalized scaling theory for critical phenomena including essential singularity and infinite dimensionality",
  "authors": [
    "Tomoaki Nogawa",
    "Takehisa Hasegawa",
    "Koji Nemoto"
  ],
  "comment": "5 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 108 (2012) 255703",
  "doi": "10.1103/PhysRevLett.108.255703",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We propose a generic scaling theory for critical phenomena that includes power-law and essential singularities in finite and infinite dimensional systems. In addition, we clarify its validity by analyzing the Potts model in a simple hierarchical network, where a saddle-node bifurcation of the renormalization-group fixed point governs the essential singularity.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-28T05:52:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.ae",
      "64.60.aq",
      "75.10.Hk",
      "89.75.Da"
    ],
    "keywords": [
      "essential singularity",
      "generalized scaling theory",
      "critical phenomena",
      "infinite dimensionality",
      "renormalization-group fixed point governs"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Jun",
      "volume": 108,
      "number": 25,
      "pages": 255703
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.108y5703N"
    }
  }
}