{
  "id": "1112.0173",
  "version": "v1",
  "published": "2011-12-01T13:26:51.000Z",
  "updated": "2011-12-01T13:26:51.000Z",
  "title": "Random matrix theory for mixed regular-chaotic dynamics in the super-extensive regime",
  "authors": [
    "A. Abd El-Hady",
    "A. Y. Abul-Magd"
  ],
  "comment": "9 pages, 5 figures, contribution to the Fifth Saudi Physical Society Meeting",
  "journal": "AIP Conf. Proc. 1370, 165 (2011)",
  "categories": [
    "math-ph",
    "cond-mat.stat-mech",
    "math.MP"
  ],
  "abstract": "We apply Tsallis's q-indexed nonextensive entropy to formulate a random matrix theory (RMT), which may be suitable for systems with mixed regular-chaotic dynamics. We consider the super-extensive regime of q < 1. We obtain analytical expressions for the level-spacing distributions, which are strictly valid for 2 \\times 2 random-matrix ensembles, as usually done in the standard RMT. We compare the results with spacing distributions, numerically calculated for random matrix ensembles describing a harmonic oscillator perturbed by Gaussian orthogonal and unitary ensembles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-01T13:26:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random matrix theory",
      "mixed regular-chaotic dynamics",
      "super-extensive regime",
      "random matrix ensembles",
      "harmonic oscillator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "AIP Conf. Proc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.0173A"
    }
  }
}