{
  "id": "1001.5121",
  "version": "v3",
  "published": "2010-01-28T09:26:03.000Z",
  "updated": "2010-06-14T01:49:58.000Z",
  "title": "Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals",
  "authors": [
    "Kazumasa A. Takeuchi",
    "Masaki Sano"
  ],
  "comment": "4 pages, 5 figures; minor changes made; note added",
  "journal": "Phys. Rev. Lett. 104, 230601 (2010)",
  "doi": "10.1103/PhysRevLett.104.230601",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We investigate growing interfaces of topological-defect turbulence in the electroconvection of nematic liquid crystals. The interfaces exhibit self-affine roughening characterized by both spatial and temporal scaling laws of the Kardar-Parisi-Zhang theory in 1+1 dimensions. Moreover, we reveal that the distribution and the two-point correlation of the interface fluctuations are universal ones governed by the largest eigenvalue of random matrices. This provides quantitative experimental evidence of the universality prescribing detailed information of scale-invariant fluctuations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-14T01:49:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.40.-a",
      "47.27.Sd",
      "64.70.mj",
      "89.75.Da"
    ],
    "keywords": [
      "turbulent liquid crystals",
      "growing interfaces",
      "universal fluctuations",
      "nematic liquid crystals",
      "quantitative experimental evidence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2010,
      "month": "Jun",
      "volume": 104,
      "number": 23,
      "pages": 230601
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvL.104w0601T"
    }
  }
}