{
  "id": "1202.0710",
  "version": "v1",
  "published": "2012-02-03T14:10:53.000Z",
  "updated": "2012-02-03T14:10:53.000Z",
  "title": "Energy cascade and the four-fifths law in superfluid turbulence",
  "authors": [
    "Julien Salort",
    "Benoît Chabaud",
    "Emmanuel Lévêque",
    "Philippe-E. Roche"
  ],
  "comment": "6 pages, 7 figures",
  "journal": "EuroPhysics Letters : EPL 97 (2012) 34006",
  "doi": "10.1209/0295-5075/97/34006",
  "categories": [
    "physics.flu-dyn",
    "cond-mat.quant-gas",
    "cond-mat.stat-mech"
  ],
  "abstract": "The 4/5-law of turbulence, which characterizes the energy cascade from large to small-sized eddies at high Reynolds numbers in classical fluids, is verified experimentally in a superfluid 4He wind tunnel, operated down to 1.56 K and up to R_lambda ~ 1640. The result is corroborated by high-resolution simulations of Landau-Tisza's two-fluid model down to 1.15 K, corresponding to a residual normal fluid concentration below 3 % but with a lower Reynolds number of order R_lambda ~ 100. Although the K\\'arm\\'an-Howarth equation (including a viscous term) is not valid \\emph{a priori} in a superfluid, it is found that it provides an empirical description of the deviation from the ideal 4/5-law at small scales and allows us to identify an effective viscosity for the superfluid, whose value matches the kinematic viscosity of the normal fluid regardless of its concentration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-03T14:10:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy cascade",
      "four-fifths law",
      "superfluid turbulence",
      "residual normal fluid concentration",
      "superfluid 4he wind tunnel"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2012,
      "month": "Feb",
      "volume": 97,
      "number": 3,
      "pages": 34006
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012EL.....9734006S"
    }
  }
}