{
  "id": "1108.2917",
  "version": "v2",
  "published": "2011-08-15T01:54:23.000Z",
  "updated": "2011-10-16T22:09:44.000Z",
  "title": "Correlations and critical behavior of the q-model",
  "authors": [
    "Alexander V. St. John",
    "Harsh Mathur"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall",
    "cond-mat.stat-mech"
  ],
  "abstract": "The q-model is a random walk model used to describe the flow of stress in a stationary granular medium. Here we derive the exact horizontal and vertical correlation functions for the q-model in two dimensions. We show that close to a critical point identified in earlier work these correlation functions have a universal scaling form reminiscent of thermodynamic critical phenomena. We determine the form of the universal scaling function and the associated critical exponents $\\nu$ and $z$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-10-16T22:09:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical behavior",
      "random walk model",
      "stationary granular medium",
      "universal scaling form reminiscent",
      "vertical correlation functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2917S"
    }
  }
}