{
  "id": "1407.6927",
  "version": "v2",
  "published": "2014-07-25T15:03:39.000Z",
  "updated": "2014-09-08T18:42:13.000Z",
  "title": "Detailed balance in micro- and macrokinetics and micro-distinguishability of macro-processes",
  "authors": [
    "A. N. Gorban"
  ],
  "comment": "7 pages, extended version with new sections: \"Reciprocal relation and detailed balance\" and \"Relations between elementary processes beyond microreversibility and detailed balance.\"",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We develop a general framework for the discussion of detailed balance and analyse its microscopic background. We find that there should be two additions to the well-known $T$- or $PT$-invariance of the microscopic laws of motion: 1. Equilibrium should not spontaneously break the relevant $T$- or $PT$-symmetry. 2. The macroscopic processes should be microscopically distinguishable to guarantee persistence of detailed balance in the model reduction from micro- to macrokinetics. We briefly discuss examples of the violation of these rules and the corresponding violation of detailed balance.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-25T15:03:39.000Z",
      "comment": "5 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-08T18:42:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "detailed balance",
      "macrokinetics",
      "micro-distinguishability",
      "macro-processes",
      "microscopic laws"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.6927G"
    }
  }
}