{
  "id": "1601.05957",
  "version": "v1",
  "published": "2016-01-22T11:02:49.000Z",
  "updated": "2016-01-22T11:02:49.000Z",
  "title": "Large deviations for the height in 1D Kardar-Parisi-Zhang growth at late times",
  "authors": [
    "Pierre Le Doussal",
    "Satya N. Majumdar",
    "Gregory Schehr"
  ],
  "comment": "5 pages + 8 pages of supplemental material",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We study the atypically large deviations of the height $H \\sim {{\\cal O}}(t)$ at the origin at late times in $1+1$-dimensional growth models belonging to the Kardar-Parisi-Zhang (KPZ) universality class. We present exact results for the rate functions for the discrete single step growth model, as well as for the continuum KPZ equation in a droplet geometry. Based on our exact calculation of the rate functions we argue that models in the KPZ class undergo a third order phase transition from a strong coupling to a weak coupling phase, at late times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-22T11:02:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "late times",
      "1d kardar-parisi-zhang growth",
      "large deviations",
      "discrete single step growth model",
      "rate functions"
    ],
    "publication": {
      "doi": "10.1209/0295-5075/113/60004",
      "journal": "EPL (Europhysics Letters)",
      "year": 2016,
      "month": "Mar",
      "volume": 113,
      "number": 6,
      "pages": 60004
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016EL....11360004L"
    }
  }
}