{
  "id": "1807.05945",
  "version": "v1",
  "published": "2018-07-16T16:12:47.000Z",
  "updated": "2018-07-16T16:12:47.000Z",
  "title": "Non-equilibrium Statistical Mechanics of Two-dimensional Vortices",
  "authors": [
    "Renato Pakter",
    "Yan Levin"
  ],
  "journal": "Phys. Rev. Lett. 121, 020602 (2018)",
  "doi": "10.1103/PhysRevLett.121.020602",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD",
    "physics.flu-dyn"
  ],
  "abstract": "It has been observed empirically that two dimensional vortices tend to cluster forming a giant vortex. To account for this observation Onsager introduced a concept of negative absolute temperature in equilibrium statistical mechanics. In this Letter we will show that in the thermodynamic limit a system of interacting vortices does not relax to the thermodynamic equilibrium, but becomes trapped in a non-equilibrium stationary state. We will show that the vortex distribution in this non-equilibrium stationary state has a characteristic core-halo structure, which can be predicted {\\it a priori}. All the theoretical results are compared with explicit molecular dynamics simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-16T16:12:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-equilibrium statistical mechanics",
      "two-dimensional vortices",
      "non-equilibrium stationary state",
      "explicit molecular dynamics simulations",
      "characteristic core-halo structure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}