{
  "id": "cond-mat/0208347",
  "version": "v1",
  "published": "2002-08-18T18:00:40.000Z",
  "updated": "2002-08-18T18:00:40.000Z",
  "title": "New Evidence of Discrete Scale Invariance in the Energy Dissipation of Three-Dimensional Turbulence: Correlation Approach and Direct Spectral Detection",
  "authors": [
    "W. -X. Zhou",
    "D. Sornette",
    "V. Pisarenko"
  ],
  "comment": "9 RevTex4 papes including 8 eps figures",
  "journal": "Int. J. Modern Phys. C 14 (4), 459-470 (2003)",
  "doi": "10.1142/S0129183103004632",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We extend the analysis of [Zhou and Sornette, Physica D 165, 94-125, 2002] showing statistically significant log-periodic corrections to scaling in the moments of the energy dissipation rate in experiments at high Reynolds number ($\\approx 2500$) of three-dimensional fully developed turbulence. First, we develop a simple variant of the canonical averaging method using a rephasing scheme between different samples based on pairwise correlations that confirms Zhou and Sornette's previous results. The second analysis uses a simpler local spectral approach and then performs averages over many local spectra. This yields stronger evidence of the existence of underlying log-periodic undulations, with the detection of more than 20 harmonics of a fundamental logarithmic frequency $f = 1.434 \\pm 0.007$ corresponding to the preferred scaling ratio $\\gamma = 2.008 \\pm 0.006$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-18T18:00:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.27.-i",
      "05.45.Df"
    ],
    "keywords": [
      "discrete scale invariance",
      "direct spectral detection",
      "energy dissipation",
      "correlation approach",
      "three-dimensional turbulence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "International Journal of Modern Physics C",
      "year": 2003,
      "volume": 14,
      "number": 4,
      "pages": 459
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003IJMPC..14..459Z"
    }
  }
}