{
  "id": "math-ph/0309034",
  "version": "v1",
  "published": "2003-09-14T04:26:29.000Z",
  "updated": "2003-09-14T04:26:29.000Z",
  "title": "The Stability of the Non-Equilibrium Steady States",
  "authors": [
    "Yoshiko Ogata"
  ],
  "comment": "37pages,accepted for publication in Communications in Mathematical Physics",
  "doi": "10.1007/s00220-003-1011-5",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the non-equilibrium steady state (NESS) of the free lattice Fermion model far from equilibrium is macroscopically unstable. The problem is translated to that of the spectral analysis of {\\it Liouville Operator}. We use the method of positive commutators to investigate it. We construct a positive commutator on the lattice Fermion system, whose dispersion relation is $\\omega(k)=\\cos k-\\gamma$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-14T04:26:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C10",
      "47N55",
      "46N55"
    ],
    "keywords": [
      "non-equilibrium steady state",
      "free lattice fermion model far",
      "lattice fermion system",
      "positive commutator"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2004,
      "volume": 245,
      "number": 3,
      "pages": 577
    },
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004CMaPh.245..577O"
    }
  }
}