{
  "id": "0806.1350",
  "version": "v2",
  "published": "2008-06-08T19:39:04.000Z",
  "updated": "2008-06-30T11:37:04.000Z",
  "title": "Slow decorrelations in KPZ growth",
  "authors": [
    "Patrik L. Ferrari"
  ],
  "comment": "22 pages, 9 figures, LaTeX; Minor language revisions",
  "journal": "J. Stat. Mech. (2008), P07022",
  "doi": "10.1088/1742-5468/2008/07/P07022",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP",
    "math.PR"
  ],
  "abstract": "For stochastic growth models in the Kardar-Parisi-Zhang (KPZ) class in 1+1 dimensions, fluctuations grow as t^{1/3} during time t and the correlation length at a fixed time scales as t^{2/3}. In this note we discuss the scale of time correlations. For a representant of the KPZ class, the polynuclear growth model, we show that the space-time is non-trivially fibred, having slow directions with decorrelation exponent equal to 1 instead of the usual 2/3. These directions are the characteristic curves of the PDE associated to the surface's slope. As a consequence, previously proven results for space-like paths will hold in the whole space-time except along the slow curves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-30T11:37:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22",
      "60K35"
    ],
    "keywords": [
      "kpz growth",
      "slow decorrelations",
      "stochastic growth models",
      "decorrelation exponent equal",
      "polynuclear growth model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2008,
      "month": "Jul",
      "volume": 2008,
      "number": 7,
      "pages": 7022
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JSMTE..07..022F"
    }
  }
}