{
  "id": "1710.03648",
  "version": "v1",
  "published": "2017-10-10T15:16:57.000Z",
  "updated": "2017-10-10T15:16:57.000Z",
  "title": "Stochastic Navier-Stokes equation and advection of a tracer field: One-loop renormalization near $d=4$",
  "authors": [
    "N. V. Antonov",
    "N. M. Gulitskiy",
    "M. M. Kostenko",
    "T. Lučivjanský"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The renormalization group approach and the operator product expansion technique are applied to the model of a tracer field advected by the Navier-Stokes velocity ensemble for a compressible fluid. The model is considered in the vicinity of the specific space dimension $d=4$. The properties of the equal-time structure functions are investigated. The multifractal behaviour of various correlation functions is established. All calculations are performed in the leading one-loop approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-10T15:16:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic navier-stokes equation",
      "tracer field",
      "one-loop renormalization",
      "operator product expansion technique",
      "renormalization group approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}