{
  "id": "1608.07075",
  "version": "v1",
  "published": "2016-08-25T10:23:35.000Z",
  "updated": "2016-08-25T10:23:35.000Z",
  "title": "Influence of Hydrodynamic Fluctuations on the Phase Transition in Models E and F of Critical Dynamics",
  "authors": [
    "M. Dančo",
    "M. Hnatich",
    "M. V. Komarova",
    "D. M. Krasnov",
    "T. Lučivjanský",
    "L. Mižišin",
    "M. Yu. Nalimov"
  ],
  "comment": "The authors thank the Organizers of the conference \"Models in Quantum Field Theory IV, MQFT-2012\" for the opportunity to present the results of the research summarised in the paper, 13 pages, 5 Tables",
  "journal": "Theor Math Phys 176(1), (2013) 888",
  "doi": "10.1007/s11232-013-0076-3",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We use the renormalization group method to study model E of critical dynamics in the presence of velocity fluctuations arising in accordance with the stochastic Navier-Stokes equation. Using Martin-Siggia-Rose theorem, we obtain a field- theoretical model that allows a perturbative renormalization group analysis. By direct power counting and an analysis of ultraviolet divergences, we show that the model is multiplicatively renormalizable, and we use a two-parameter expansion in $\\varepsilon$ and $\\delta$ to calculate renormalization constants. Here, $\\varepsilon$ is a deviation from the critical dimension four, and $\\delta$ is a deviation from the Kolmogorov regime. We present the results of the one-loop approximation and part of the fixed-point structure. We briefly discuss the possible effect of velocity fluctuations on the large-scale behavior of the model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-25T10:23:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical dynamics",
      "phase transition",
      "hydrodynamic fluctuations",
      "velocity fluctuations",
      "renormalization group method"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}