{
  "id": "cond-mat/0503029",
  "version": "v1",
  "published": "2005-03-02T16:00:09.000Z",
  "updated": "2005-03-02T16:00:09.000Z",
  "title": "Comment on \"First-order phase transitions: equivalence between bimodalities and the Yang-Lee theorem\"",
  "authors": [
    "Hugo Touchette"
  ],
  "comment": "3 pages, revtex4, 1 figure",
  "journal": "Physica A 359, 375-379, 2005.",
  "doi": "10.1016/j.physa.2005.05.098",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "I discuss the validity of a result put forward recently by Chomaz and Gulminelli [Physica A 330 (2003) 451] concerning the equivalence of two definitions of first-order phase transitions. I show that distributions of zeros of the partition function fulfilling the conditions of the Yang-Lee Theorem are not necessarily associated with nonconcave microcanonical entropy functions or, equivalently, with canonical distributions of the mean energy having a bimodal shape, as claimed by Chomaz and Gulminelli. In fact, such distributions of zeros can also be associated with concave entropy functions and unimodal canonical distributions having affine parts. A simple example is worked out in detail to illustrate this subtlety.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-02T16:00:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first-order phase transitions",
      "yang-lee theorem",
      "equivalence",
      "bimodalities",
      "canonical distributions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}