{
  "id": "0805.4587",
  "version": "v1",
  "published": "2008-05-29T17:22:24.000Z",
  "updated": "2008-05-29T17:22:24.000Z",
  "title": "Non-distributive algebraic structures derived from nonextensive statistical mechanics",
  "authors": [
    "Pedro G. S. Cardoso",
    "Ernesto P. Borges",
    "Thierry C. P. Lobão",
    "Suani T. R. Pinho"
  ],
  "comment": "11 pages, uses iopart",
  "journal": "J. Math. Phys., 49, 093509 (2008)",
  "doi": "10.1063/1.2982233",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We propose a two-parametric non-distributive algebraic structure that follows from $(q,q')$-logarithm and $(q,q')$-exponential functions. Properties of generalized $(q,q')$-operators are analyzed. We also generalize the proposal into a multi-parametric structure (generalization of logarithm and exponential functions and the corresponding algebraic operators). All $n$-parameter expressions recover $(n-1)$-generalization when the corresponding $q_n\\to1$. Nonextensive statistical mechanics has been the source of successive generalizations of entropic forms and mathematical structures, in which this work is a consequence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-29T17:22:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonextensive statistical mechanics",
      "non-distributive algebraic structures",
      "exponential functions",
      "two-parametric non-distributive algebraic structure",
      "generalization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2008,
      "month": "Sep",
      "volume": 49,
      "number": 9,
      "pages": "093509"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JMP....49i3509C"
    }
  }
}