{
  "id": "1204.1157",
  "version": "v1",
  "published": "2012-04-05T09:23:56.000Z",
  "updated": "2012-04-05T09:23:56.000Z",
  "title": "Bounds for Fisher information and its production under flow",
  "authors": [
    "Takuya Yamano"
  ],
  "comment": "12 pages, no figure",
  "journal": "J. Math. Phys. Vol.53, 043301 (2012)",
  "doi": "10.1063/1.3700757",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We prove that two well-known measures of information are interrelated in interesting and useful ways when applied to nonequilibrium circumstances. A nontrivial form of the lower bound for the Fisher information measure is derived in presence of a flux vector, which satisfies the continuity equation. We also establish a novel upper bound on the time derivative (production) in terms of the arrow of time and derive a lower bound by the logarithmic Sobolev inequality. These serve as the revealing dynamics of the information content and its limitations pertaining to nonequilibrium processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-05T09:23:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.70.Ce",
      "89.70.Cf"
    ],
    "keywords": [
      "production",
      "lower bound",
      "fisher information measure",
      "novel upper bound",
      "logarithmic sobolev inequality"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2012,
      "month": "Apr",
      "volume": 53,
      "number": 4,
      "pages": 3301
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JMP....53d3301Y"
    }
  }
}