{
  "id": "cond-mat/0607257",
  "version": "v1",
  "published": "2006-07-11T02:23:08.000Z",
  "updated": "2006-07-11T02:23:08.000Z",
  "title": "Density of Yang-Lee zeros for the Ising ferromagnet",
  "authors": [
    "Seung-Yeon Kim"
  ],
  "comment": "to appear in Physical Review E",
  "journal": "Physical Review E 74 (2006) 011119",
  "doi": "10.1103/PhysRevE.74.011119",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The densities of Yang-Lee zeros for the Ising ferromagnet on the $L\\times L$ square lattice are evaluated from the exact grand partition functions ($L=3\\sim16$). The properties of the density of Yang-Lee zeros are discussed as a function of temperature $T$ and system size $L$. The three different classes of phase transitions for the Ising ferromagnet, first-order phase transition, second-order phase transition, and Yang-Lee edge singularity, are clearly distinguished by estimating the magnetic scaling exponent $y_h$ from the densities of zeros for finite-size systems. The divergence of the density of zeros at Yang-Lee edge in high temperatures (Yang-Lee edge singularity), which has been detected only by the series expansion until now for the square-lattice Ising ferromagnet, is obtained from the finite-size data. The identification of the orders of phase transitions in small systems is also discussed using the density of Yang-Lee zeros.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-11T02:23:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yang-lee zeros",
      "yang-lee edge singularity",
      "exact grand partition functions",
      "first-order phase transition",
      "second-order phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}