{
  "id": "1611.01302",
  "version": "v1",
  "published": "2016-11-04T10:04:02.000Z",
  "updated": "2016-11-04T10:04:02.000Z",
  "title": "Renormalization group analysis of a turbulent compressible fluid near $d = 4$ : Crossover between local and non-local scaling regimes",
  "authors": [
    "N. V. Antonov",
    "N. M. Gulitskiy",
    "M. M. Kostenko",
    "T. Lučivjanský"
  ],
  "comment": "6 pages. arXiv admin note: substantial text overlap with arXiv:1611.00327",
  "journal": "EPJ Web of Conferences {\\bf 125}, 05006 (2016)",
  "doi": "10.1051/epjconf/201612505006",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this approach are related to fixed points of the RG equation. Here we study a possible existence of other scaling regimes and an opportunity of a crossover between them. This may take place in some other space dimensions, particularly at $d = 4$. A new regime may there arise and then by continuity moves into $d = 3$. Our calculations have shown that there really exists an additional fixed point, that may govern scaling behaviour.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-04T10:04:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "renormalization group analysis",
      "turbulent compressible fluid",
      "non-local scaling regimes",
      "field theoretic renormalization group",
      "fixed point"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}