{
  "id": "1003.5521",
  "version": "v1",
  "published": "2010-03-29T12:30:45.000Z",
  "updated": "2010-03-29T12:30:45.000Z",
  "title": "Hydrodynamic limit of symmetric exclusion processes in inhomogeneous media",
  "authors": [
    "A. Faggionato"
  ],
  "comment": "8 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In \\cite{J} M. Jara has presented a method, reducing the proof of the hydrodynamic limit of symmetric exclusion processes to an homogenization problem, as unified approach to recent works on the field as \\cite{N}, \\cite{F1}, \\cite{F2} and \\cite{FJL}. Although not stated in \\cite{J}, the reduction of the hydrodynamic limit to an homogenization problem was already obtained (in a different way) in \\cite{N}, \\cite{F1}. This alternative and very simple relation between the two problems goes back to an idea of K.\\ Nagy \\cite{N}, is stated in \\cite{F1}[Section B] for exclusion processes on $\\bbZ^d$ and, as stressed in \\cite{F2}, is completely general. The above relation has been applied to \\cite{N}, \\cite{F1}, \\cite{F2} and \\cite{FJL} and could be applied to other symmetric exclusion processes, mentioned in \\cite{J}. In this short note we briefly recall this unified approach in a complete general setting. Finally, we recall how the homogenization problem has been solved in the above previous works.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-29T12:30:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric exclusion processes",
      "hydrodynamic limit",
      "inhomogeneous media",
      "homogenization problem",
      "unified approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.5521F"
    }
  }
}