{
  "id": "cond-mat/0609475",
  "version": "v2",
  "published": "2006-09-19T17:11:10.000Z",
  "updated": "2006-10-02T07:31:42.000Z",
  "title": "From microscopic dynamics to macroscopic irreversibility",
  "authors": [
    "A. Perez-Madrid"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "In this contribution we prove that the entropy of an N-body isolated system can not decrease and the entropy production should be non-negative provided the system possesses an equilibrium state. We define the entropy as a functional of the set of n-particle reduced density operators (n=0,....,N) generalizing the von Neumann fine-grained entropy formula. Additionally, as a consequence of our analysis we find the expression of the equilibrium n-particle reduced density operators which enter the definition of the entropy as well as the dissipated energy in an irreversible process.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-02T07:31:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "microscopic dynamics",
      "macroscopic irreversibility",
      "von neumann fine-grained entropy formula",
      "equilibrium n-particle reduced density operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006cond.mat..9475P"
    }
  }
}