{
  "id": "1512.08744",
  "version": "v1",
  "published": "2015-12-29T18:22:16.000Z",
  "updated": "2015-12-29T18:22:16.000Z",
  "title": "Determination of Nonequilibrium Temperature and Pressure using Clausius Equality in a State with Memory: A Simple Model Calculation",
  "authors": [
    "P. D. Gujrati"
  ],
  "comment": "5 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Use of the extended definition of heat dQ=deQ+diQ converts the Clausius inequality dS greater than or equal to deQ/T0 into an equality dS=dQ/T, which is applied to the exact quantum evolution of a 1-dimensional ideal gas free expansion. In a first ever calculation of its kind in an expansion which retains the memory of initial state, we determine the nonequilibrium temperature T and pressure P, which are then compared with the ratio P/T obtained by an independent method to show the consistency of the nonequilibrium formulation. We find that the quantum evolution by itself cannot eliminate the memory effect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-29T18:22:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple model calculation",
      "nonequilibrium temperature",
      "clausius equality",
      "determination",
      "clausius inequality ds greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151208744G"
    }
  }
}