{
  "id": "cond-mat/0206522",
  "version": "v2",
  "published": "2002-06-26T16:05:00.000Z",
  "updated": "2002-10-24T08:49:56.000Z",
  "title": "First- and second-order phase transitions in scale-free networks",
  "authors": [
    "Ferenc Iglói",
    "Loïc Turban"
  ],
  "comment": "4 pages, 1 figure, published version",
  "journal": "Phys. Rev. E, 66 (2002) 036140",
  "doi": "10.1103/PhysRevE.66.036140",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study first- and second-order phase transitions of ferromagnetic lattice models on scale-free networks, with a degree exponent $\\gamma$. Using the example of the $q$-state Potts model we derive a general self-consistency relation within the frame of the Weiss molecular-field approximation, which presumably leads to exact critical singularities. Depending on the value of $\\gamma$, we have found three different regimes of the phase diagram. As a general trend first-order transitions soften with decreasing $\\gamma$ and the critical singularities at the second-order transitions are $\\gamma$-dependent.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-10-24T08:49:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "second-order phase transitions",
      "scale-free networks",
      "general trend first-order transitions soften",
      "weiss molecular-field approximation",
      "state potts model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}