{
  "id": "0807.2621",
  "version": "v4",
  "published": "2008-07-16T18:03:16.000Z",
  "updated": "2011-08-12T18:25:18.000Z",
  "title": "Decay of covariances, uniqueness of ergodic component and scaling limit for a class of \\nablaφsystems with non-convex potential",
  "authors": [
    "Codina Cotar",
    "Jean-Dominique Deuschel"
  ],
  "comment": "41 pages, 5 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a gradient interface model on the lattice with interaction potential which is a nonconvex perturbation of a convex potential. Using a technique which decouples the neighboring vertices sites into even and odd vertices, we show for a class of non-convex potentials: the uniqueness of ergodic component for \\nabla\\phi-Gibbs measures, the decay of covariances, the scaling limit and the strict convexity of the surface tension.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-08-12T18:25:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B24",
      "35J15"
    ],
    "keywords": [
      "ergodic component",
      "non-convex potential",
      "scaling limit",
      "uniqueness",
      "covariances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2621C"
    }
  }
}