{
  "id": "1304.0701",
  "version": "v2",
  "published": "2013-04-02T17:19:41.000Z",
  "updated": "2014-01-04T18:56:13.000Z",
  "title": "Symmetric simple exclusion process with free boundaries",
  "authors": [
    "Anna De Masi",
    "Pablo A. Ferrari",
    "Errico Presutti"
  ],
  "comment": "29 pages, 4 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the one dimensional symmetric simple exclusion process (SSEP) with additional births and deaths restricted to a subset of configurations where there is a leftmost hole and a rightmost particle. At a fixed rate birth of particles occur at the position of the leftmost hole and at the same rate, independently, the rightmost particle dies. We prove convergence to a hydrodynamic limit and discuss its relation with a free boundary problem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-04T18:56:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35"
    ],
    "keywords": [
      "dimensional symmetric simple exclusion process",
      "leftmost hole",
      "rightmost particle dies",
      "free boundary problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.0701D"
    }
  }
}