{
  "id": "1412.2172",
  "version": "v1",
  "published": "2014-12-05T22:24:42.000Z",
  "updated": "2014-12-05T22:24:42.000Z",
  "title": "Statistical distribution of the Wigner-Smith time-delay matrix for chaotic cavities",
  "authors": [
    "Fabio Deelan Cunden"
  ],
  "comment": "5 pages, 1 table, 2 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "We derive the joint distribution of the moments $\\mathrm{Tr}\\, Q^{\\kappa}$ ($\\kappa\\geq0$) of the Wigner-Smith matrix for a chaotic cavity supporting a large number of scattering channels $n$. This distribution turns out to be asymptotically Gaussian, and we compute explicitly averages and covariances. The results are in a compact form and have been verified numerically. The general methodology of proof and computations has a wide range of applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-05T22:24:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.60.Gg",
      "02.50.Cw",
      "05.45.Mt"
    ],
    "keywords": [
      "wigner-smith time-delay matrix",
      "statistical distribution",
      "joint distribution",
      "wigner-smith matrix",
      "large number"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.91.060102",
      "journal": "Physical Review E",
      "year": 2015,
      "month": "Jun",
      "volume": 91,
      "number": 6,
      "pages": "060102"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvE..91f0102C"
    }
  }
}