{
  "id": "1501.07745",
  "version": "v1",
  "published": "2015-01-30T12:10:43.000Z",
  "updated": "2015-01-30T12:10:43.000Z",
  "title": "Spherical model of growing interfaces",
  "authors": [
    "Malte Henkel",
    "Xavier Durang"
  ],
  "comment": "33 pages, 4 figures, Submitted to J.Stat.Mech",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Building on an analogy between the ageing behaviour of magnetic systems and growing interfaces, the Arcetri model, a new exactly solvable model for growing interfaces is introduced, which shares many properties with the kinetic spherical model. The long-time behaviour of the interface width and of the two-time correlators and responses is analysed. For all dimensions $d\\ne 2$, universal characteristics distinguish the Arcetri model from the Edwards-Wilkinson model, although for $d>2$ all stationary and non-equilibrium exponents are the same. For $d=1$ dimensions, the Arcetri model is equivalent to the $p=2$ spherical spin glass. For $2<d<4$ dimensions, its relaxation properties are related to the ones of a particle-reaction model, namely a bosonic variant of the diffusive pair-contact process. The global persistence exponent is also derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-30T12:10:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "05.70.Ln",
      "81.10.Aj",
      "02.50.-r",
      "68.43.De"
    ],
    "keywords": [
      "growing interfaces",
      "arcetri model",
      "global persistence exponent",
      "dimensions",
      "diffusive pair-contact process"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2015/05/P05022",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2015,
      "month": "May",
      "volume": 2015,
      "number": 5,
      "pages": "05022"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1342953,
      "adsabs": "2015JSMTE..05..022H"
    }
  }
}