{
  "id": "0704.0869",
  "version": "v1",
  "published": "2007-04-06T10:15:25.000Z",
  "updated": "2007-04-06T10:15:25.000Z",
  "title": "Connected Operators for the Totally Asymmetric Exclusion Process",
  "authors": [
    "O. Golinelli",
    "K. Mallick"
  ],
  "comment": "10 pages",
  "journal": "J. Phys. A: Math. Theor. 40 (2007) 13231-13236",
  "doi": "10.1088/1751-8113/40/44/004",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We fully elucidate the structure of the hierarchy of the connected operators that commute with the Markov matrix of the Totally Asymmetric Exclusion Process (TASEP). We prove for the connected operators a combinatorial formula that was conjectured in a previous work. Our derivation is purely algebraic and relies on the algebra generated by the local jump operators involved in the TASEP. Keywords: Non-Equilibrium Statistical Mechanics, ASEP, Exact Results, Algebraic Bethe Ansatz.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-06T10:15:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "totally asymmetric exclusion process",
      "connected operators",
      "local jump operators",
      "algebraic bethe ansatz",
      "non-equilibrium statistical mechanics"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2007,
      "month": "Nov",
      "volume": 40,
      "number": 44,
      "pages": 13231
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JPhA...4013231G"
    }
  }
}