{
  "id": "1204.6485",
  "version": "v1",
  "published": "2012-04-29T15:06:09.000Z",
  "updated": "2012-04-29T15:06:09.000Z",
  "title": "Persistent energy flow for a stochastic wave equation model in nonequilibrium statistical mechanics",
  "authors": [
    "Lawrence E. Thomas"
  ],
  "comment": "In honor of Elliott Lieb's 80th birthday",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a one-dimensional partial differential equation system modeling heat flow around a ring. The system includes a Klein-Gordon wave equation for a field satisfying spatial periodic boundary conditions, as well as Ornstein-Uhlenbeck stochastic differential equations with finite rank dissipation and stochastic driving terms modeling heat baths. There is an energy flow around the ring. In the case of a linear field with different (fixed) bath temperatures, the energy flow can persist even when the interaction with the baths is turned off. A simple example is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-29T15:06:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C05",
      "82C31",
      "05.10.Gg",
      "05.20.-y",
      "05.40.-a",
      "02.30.Hq",
      "02.50.Ey"
    ],
    "keywords": [
      "stochastic wave equation model",
      "persistent energy flow",
      "nonequilibrium statistical mechanics",
      "terms modeling heat",
      "system modeling heat"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.4728986",
      "journal": "Journal of Mathematical Physics",
      "year": 2012,
      "month": "Sep",
      "volume": 53,
      "number": 9,
      "pages": 5208
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JMP....53i5208T"
    }
  }
}