{
  "id": "1703.06779",
  "version": "v1",
  "published": "2017-03-20T14:48:31.000Z",
  "updated": "2017-03-20T14:48:31.000Z",
  "title": "An Introduction to Large Deviations and Equilibrium Statistical Mechanics for Turbulent Flows",
  "authors": [
    "Corentin Herbert"
  ],
  "comment": "Lecture notes from the \"Stochastic Equations for Complex Systems: Theory and Applications\" summer school organized at the University of Wyoming in June 2014",
  "journal": "in \"Stochastic Equations for Complex Systems\" (eds. S. Heinz and H. Bessaih), Chap. 3, pp 53-84 (2015)",
  "doi": "10.1007/978-3-319-18206-3_3",
  "categories": [
    "cond-mat.stat-mech",
    "physics.flu-dyn"
  ],
  "abstract": "Two-dimensional turbulent flows, and to some extent, geophysical flows, are systems with a large number of degrees of freedom, which, albeit fluctuating, exhibit some degree of organization: coherent structures emerge spontaneously at large scales. In this short course, we show how the principles of equilibrium statistical mechanics apply to this problem and predict the condensation of energy at large scales and allow for computing the resulting coherent structures. We focus on the structure of the theory using the language of large deviation theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-20T14:48:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equilibrium statistical mechanics",
      "large scales",
      "introduction",
      "large deviation theory",
      "two-dimensional turbulent flows"
    ],
    "tags": [
      "lecture notes",
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}