{
  "id": "cond-mat/0507633",
  "version": "v2",
  "published": "2005-07-27T10:33:26.000Z",
  "updated": "2006-06-19T08:53:22.000Z",
  "title": "Scaling laws at the critical point",
  "authors": [
    "S. Davatolhagh"
  ],
  "comment": "Revised version, 1 added figure, 3 pages, 1 table",
  "journal": "S. Davatolhagh, Am. J. Phys. 74, 441 (2006)",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "There are two independent critical exponents that describe the behavior of systems near their critical point. However, at the critical point only the exponent $\\eta$, which describes the decay of the correlation function, is usually discussed. We emphasize that there is a second independent exponent $\\eta'$ that describes the decay of the fourth-order correlation function. The exponent $\\eta'$ is related to the exponents determining the behavior of thermodynamic functions near criticality via a fluctuation-response equation for the specific heat. We also discuss a scaling law for $\\eta'$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-06-19T08:53:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical point",
      "scaling law",
      "fourth-order correlation function",
      "second independent exponent",
      "specific heat"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}