{
  "id": "cond-mat/0604223",
  "version": "v3",
  "published": "2006-04-08T13:12:15.000Z",
  "updated": "2006-07-04T19:23:19.000Z",
  "title": "Conformal invariance and its breaking in a stochastic model of a fluctuating interface",
  "authors": [
    "Francisco C. Alcaraz",
    "Erel Levine",
    "Vladimir Rittenberg"
  ],
  "comment": "22 pages and 20 figures",
  "journal": "J. Stat. Mech. (2006) P08003",
  "doi": "10.1088/1742-5468/2006/08/P08003",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "Using Monte-Carlo simulations on large lattices, we study the effects of changing the parameter $u$ (the ratio of the adsorption and desorption rates) of the raise and peel model. This is a nonlocal stochastic model of a fluctuating interface. We show that for $0<u<1$ the system is massive, for $u=1$ it is massless and conformal invariant. For $u>1$ the conformal invariance is broken. The system is in a scale invariant but not conformal invariant phase. As far as we know it is the first example of a system which shows such a behavior. Moreover in the broken phase, the critical exponents vary continuously with the parameter $u$. This stays true also for the critical exponent $\\tau$ which characterizes the probability distribution function of avalanches (the critical exponent $D$ staying unchanged).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-07-04T19:23:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal invariance",
      "fluctuating interface",
      "critical exponent",
      "conformal invariant phase",
      "probability distribution function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}