{
  "id": "1307.1359",
  "version": "v2",
  "published": "2013-07-04T14:48:51.000Z",
  "updated": "2013-12-12T12:00:23.000Z",
  "title": "Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond",
  "authors": [
    "Bongsoo Kim",
    "Kyozi Kawasaki",
    "Hugo Jacquin",
    "Frédéric van Wijland"
  ],
  "comment": "Corrects and extends arXiv:0712.1096",
  "journal": "Phys. Rev. E 89, 012150 (2014)",
  "doi": "10.1103/PhysRevE.89.012150",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We extend a previously proposed field-theoretic self-consistent perturbation approach for the equilibrium dynamics of the Dean-Kawasaki equation presented in [J. Stat. Mech. 2008 P02004]. By taking terms missing in the latter analysis into account we arrive at a set of three new equations for correlation functions of the system. These correlations involve the density and its logarithm as local observables. Our new one-loop equations, which must carefully deal with the noninteracting Brownian gas theory, are more general than the historic Mode-Coupling one in that a further and well-defined approximation leads back to the original mode-coupling equation for the density correlations alone. However, without performing any further approximation step, our set of three equations does not feature any ergodic-non ergodic transition, as opposed to the historical mode- coupling approach.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-12T12:00:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equilibrium dynamics",
      "dean-kawasaki model",
      "field-theoretic self-consistent perturbation approach",
      "correlation",
      "ergodic-non ergodic transition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1359K"
    }
  }
}