{
  "id": "2004.08677",
  "version": "v1",
  "published": "2020-04-18T17:59:31.000Z",
  "updated": "2020-04-18T17:59:31.000Z",
  "title": "Bivectorial Mesoscopic Nonequilibrium Thermodynamics: Landauer-Bennett-Hill Principle, Cycle Affinity and Vorticity Potential",
  "authors": [
    "Ying-Jen Yang",
    "Hong Qian"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In mesoscopic nonequilibrium thermodynamics (NET), Landauer-Bennett-Hill principle emphasizes the importance of kinetic cycles. For continuous stochastic systems, a NET in phase space is formulated in terms of cycle affinity $\\nabla\\wedge\\big(\\mathbf{D}^{-1}\\mathbf{b}\\big)$ and vorticity $\\mathbf{A}(\\mathbf{x})$ representing the stationary flux $\\mathbf{J}^{*}=\\nabla\\times\\mathbf{A}$. Each bivectorial cycle couples two transport processes represented by vectors and gives rise to Onsager's reciprocality; the scalar product of the two bivectors $\\mathbf{A}\\cdot\\nabla\\wedge\\big(\\mathbf{D}^{-1}\\mathbf{b}\\big)$ is the rate of local entropy production in the nonequilibrium steady state. An Onsager operator that maps vorticity to cycle affinity is introduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-18T17:59:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bivectorial mesoscopic nonequilibrium thermodynamics",
      "cycle affinity",
      "vorticity potential",
      "nonequilibrium steady state",
      "local entropy production"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}