{
  "id": "1312.6028",
  "version": "v2",
  "published": "2013-12-20T16:41:24.000Z",
  "updated": "2014-02-10T17:57:11.000Z",
  "title": "The Kardar-Parisi-Zhang equation with spatially correlated noise: a unified picture from nonperturbative renormalization group",
  "authors": [
    "Thomas Kloss",
    "Léonie Canet",
    "Bertrand Delamotte",
    "Nicolás Wschebor"
  ],
  "comment": "13 pages, 5 figures, final version",
  "journal": "Phys. Rev. E 89, 022108 (2014)",
  "doi": "10.1103/PhysRevE.89.022108",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We investigate the scaling regimes of the Kardar-Parisi-Zhang equation in the presence of spatially correlated noise with power law decay $D(p) \\sim p^{-2\\rho}$ in Fourier space, using a nonperturbative renormalization group approach. We determine the full phase diagram of the system as a function of $\\rho$ and the dimension $d$. In addition to the weak-coupling part of the diagram, which agrees with the results from Refs. [Europhys. Lett. 47, 14 (1999), Eur. Phys. J. B 9, 491 (1999)], we find the two fixed points describing the short-range (SR) and long-range (LR) dominated strong-coupling phases. In contrast with a suggestion in the references cited above, we show that, for all values of $\\rho$, there exists a unique strong-coupling SR fixed point that can be continuously followed as a function of $d$. We show in particular that the existence and the behavior of the LR fixed point do not provide any hint for 4 being the upper critical dimension of the KPZ equation with SR noise.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-10T17:57:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.Ht",
      "05.10.Cc",
      "68.35.Ct",
      "68.35.Rh"
    ],
    "keywords": [
      "spatially correlated noise",
      "kardar-parisi-zhang equation",
      "unified picture",
      "strong-coupling sr fixed point",
      "nonperturbative renormalization group approach"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2014,
      "month": "Feb",
      "volume": 89,
      "number": 2,
      "pages": "022108"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1273477,
      "adsabs": "2014PhRvE..89b2108K"
    }
  }
}