{
  "id": "cond-mat/0312371",
  "version": "v1",
  "published": "2003-12-15T16:46:22.000Z",
  "updated": "2003-12-15T16:46:22.000Z",
  "title": "Bethe Ansatz calculation of the spectral gap of the asymmetric exclusion process",
  "authors": [
    "O. Golinelli",
    "K. Mallick"
  ],
  "journal": "J. Phys. A: Math. Gen. 37 (2004) 3321-3331",
  "doi": "10.1088/0305-4470/37/10/001",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We present a new derivation of the spectral gap of the totally asymmetric exclusion process on a half-filled ring of size L by using the Bethe Ansatz. We show that, in the large L limit, the Bethe equations reduce to a simple transcendental equation involving the polylogarithm, a classical special function. By solving that equation, the gap and the dynamical exponent are readily obtained. Our method can be extended to a system with an arbitrary density of particles. Keywords: ASEP, Bethe Ansatz, Dynamical Exponent, Spectral Gap.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-15T16:46:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral gap",
      "bethe ansatz calculation",
      "totally asymmetric exclusion process",
      "dynamical exponent",
      "bethe equations reduce"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2004,
      "month": "Mar",
      "volume": 37,
      "number": 10,
      "pages": 3321
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004JPhA...37.3321G"
    }
  }
}