{
  "id": "1504.02565",
  "version": "v1",
  "published": "2015-04-10T07:07:34.000Z",
  "updated": "2015-04-10T07:07:34.000Z",
  "title": "First-order phase transition and tricritical scaling behavior of the Blume-Capel model: a Wang-Landau sampling approach",
  "authors": [
    "Wooseop Kwak",
    "Joohyeok Jeong",
    "Juhee Lee",
    "Dong-Hee Kim"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the tricritical scaling behavior of the two-dimensional spin-$1$ Blume-Capel model using the Wang-Landau method measuring the joint density of states for lattice sizes up to $48 \\times 48$ sites. The line of the first-order phase transitions and the location of the tricritical point are determined employing the method of field mixing in conjunction with finite-size scaling. We estimate the tricritical exponents from the phenomenological finite-size scaling analysis on thermodynamic variables as well as from the finite-size scaling with the probability distribution function of a relevant field-conjugate variable at the tricritical point. Our estimations of the tricritical eigenvalue exponents, $y_t = 1.804(5)$, $y_g = 0.80(1)$, and $y_h = 1.925(3)$, are in excellent agreement with the previous calculations based on different methods and the conjectured exact values, demonstrating the effectiveness of the density-of-states-based approach in finite-size scaling study of multicritical phenomena.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-10T07:07:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first-order phase transition",
      "tricritical scaling behavior",
      "wang-landau sampling approach",
      "blume-capel model",
      "finite-size scaling"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}