{
  "id": "1301.4935",
  "version": "v3",
  "published": "2013-01-21T17:32:52.000Z",
  "updated": "2013-11-27T12:56:41.000Z",
  "title": "Phase transition in equilibrium fluctuations of symmetric slowed exclusion",
  "authors": [
    "Tertuliano Franco",
    "Patricia Gonçalves",
    "Adriana Neumann"
  ],
  "comment": "published",
  "journal": "Stochastic Processes and their Applications, 123, Issue 12, 4156-4185, 2013",
  "doi": "10.1016/j.spa.2013.06.016",
  "categories": [
    "math.PR",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We analyze the equilibrium fluctuations of the density, current and tagged particle in symmetric exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump rate is everywhere equal to one except at the slow bond where it is $\\alpha n^-\\beta$, where $\\alpha,\\beta\\geq{0}$ and $n$ is the scaling parameter. Depending on the regime of $\\beta$, we find three different behaviors for the limiting fluctuations whose covariances are explicitly computed. In particular, for the critical value $\\beta=1$, starting a tagged particle near the slow bond, we obtain a family of gaussian processes indexed in $\\alpha$, interpolating a fractional brownian motion of Hurst exponent 1/4 and the degenerate process equal to zero.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-27T12:56:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "26A24",
      "35K55"
    ],
    "keywords": [
      "symmetric slowed exclusion",
      "equilibrium fluctuations",
      "phase transition",
      "slow bond",
      "tagged particle"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.4935F"
    }
  }
}