{
  "id": "2007.08272",
  "version": "v1",
  "published": "2020-07-16T11:44:47.000Z",
  "updated": "2020-07-16T11:44:47.000Z",
  "title": "Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations",
  "authors": [
    "Simone Floreani",
    "Frank Redig",
    "Federico Sau"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider symmetric partial exclusion and inclusion processes in a general graph in contact with reservoirs, where we allow both for edge disorder and well-chosen site disorder. We extend the classical dualities to this context and then we derive new orthogonal polynomial dualities. From the classical dualities, we derive the uniqueness of the non-equilibrium steady state and obtain correlation inequalities. Starting from the orthogonal polynomial dualities, we show universal properties of n-point correlation functions in the non-equilibrium steady state for systems with at most two different reservoir parameters, such as a chain with reservoirs at left and right ends.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-16T11:44:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37",
      "60J75",
      "82C05"
    ],
    "keywords": [
      "orthogonal polynomial duality",
      "boundary driven particle systems",
      "non-equilibrium correlations",
      "non-equilibrium steady state",
      "symmetric partial exclusion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}