{
  "id": "1506.03291",
  "version": "v1",
  "published": "2015-06-10T13:30:18.000Z",
  "updated": "2015-06-10T13:30:18.000Z",
  "title": "Conformal invariance of loop ensembles under Kardar-Parisi-Zhang dynamics",
  "authors": [
    "Xiangyu Cao",
    "Alberto Rosso",
    "Raoul Santachiara"
  ],
  "comment": "6 pages, 8 figures, 1 table",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study scaling properties of the honeycomb fully packed loop ensemble associated with a lozenge tiling model of rough surface, when the latter is driven out of equilibrium by Kardar-Parisi-Zhang (KPZ) type dynamics. We show numerically that conformal invariance and signatures of critical percolation appear in the stationary KPZ state. In terms of the two-component Coulomb gas description of the Edwards-Wilkinson stationary state, our finding is understood as the invariance of one component under the effect of the non-linear KPZ term. On the other hand, we show a breaking of conformal invariance when the level lines of the other component are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-10T13:30:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal invariance",
      "kardar-parisi-zhang dynamics",
      "fully packed loop ensemble",
      "two-component coulomb gas description",
      "non-linear kpz term"
    ],
    "publication": {
      "doi": "10.1209/0295-5075/111/16001",
      "journal": "EPL (Europhysics Letters)",
      "year": 2015,
      "month": "Jul",
      "volume": 111,
      "number": 1,
      "pages": 16001
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015EL....11116001C"
    }
  }
}