{
  "id": "1512.05510",
  "version": "v1",
  "published": "2015-12-17T09:46:12.000Z",
  "updated": "2015-12-17T09:46:12.000Z",
  "title": "Superfluid Phase Transition with Activated Velocity Fluctuations: Renormalization Group Approach",
  "authors": [
    "M. Dančo",
    "M. Hnatič",
    "M. V. Komarova",
    "T. Lučivjanský",
    "M. Yu. Nalimov"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A quantum field model that incorporates Bose-condensed systems near their phase transition into a superfluid phase and velocity fluctuations is proposed. The stochastic Navier-Stokes equation is used for a generation of the velocity fluctuations. As such this model generalizes model F of critical dynamics. The field-theoretic action is derived using the Martin-Siggia-Rose formalism and path integral approach. The regime of equilibrium fluctuations is analyzed within perturbative renormal- ization group method. The double $(\\epsilon ,\\delta)$-expansion scheme is employed, where is a deviation from space dimension $4$ and $\\delta$ describes scaling of velocity fluctuations. The renormalization procedure is performed to the leading order. The main corollary gained from the analysis of the thermal equilibrium regime suggests that one-loop calculations of the presented models are not sufficient to make a definite conclusion about the stability of fixed points. We also show that critical exponents are drastically changed as a result of the turbulent background and critical fluctuations are in fact destroyed by the developed turbulence fluctuations. The scaling exponent of effective viscosity is calculated and agrees with expected value $4/3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-17T09:46:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renormalization group approach",
      "superfluid phase transition",
      "activated velocity fluctuations",
      "stochastic navier-stokes equation",
      "thermal equilibrium regime"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.93.012109"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1410694
    }
  }
}