{
  "id": "cond-mat/0310453",
  "version": "v1",
  "published": "2003-10-20T12:34:50.000Z",
  "updated": "2003-10-20T12:34:50.000Z",
  "title": "Current fluctuations in the one dimensional Symmetric Exclusion Process with open boundaries",
  "authors": [
    "B Derrida",
    "B Doucot",
    "P. -E. Roche"
  ],
  "comment": "submitted to Journal of Statistical Physics",
  "journal": "Journal of Statistical Physics 115 (2004) 717",
  "doi": "10.1023/B:JOSS.0000022379.95508.b2",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall",
    "cond-mat.stat-mech"
  ],
  "abstract": "We calculate the first four cumulants of the integrated current of the one dimensional symmetric simple exclusion process of $N$ sites with open boundary conditions. For large system size $N$, the generating function of the integrated current depends on the densities $\\rho_a$ and $\\rho_b$ of the two reservoirs and on the fugacity $z$, the parameter conjugated to the integrated current, through a single parameter. Based on our expressions for these first four cumulants, we make a conjecture which leads to a prediction for all the higher cumulants. In the case $\\rho_a=1$ and $\\rho_b=0$, our conjecture gives the same universal distribution as the one obtained by Lee, Levitov and Yakovets for one dimensional quantum conductors in the metallic regime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-20T12:34:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional symmetric exclusion process",
      "current fluctuations",
      "dimensional symmetric simple exclusion process",
      "integrated current",
      "open boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}