{
  "id": "2205.03839",
  "version": "v1",
  "published": "2022-05-08T10:57:46.000Z",
  "updated": "2022-05-08T10:57:46.000Z",
  "title": "Heat flow in a periodically forced, thermostatted chain",
  "authors": [
    "Tomasz Komorowski",
    "Joel L. Lebowitz",
    "Stefano Olla"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We investigate the properties of a harmonic chain in contact at one end with a thermal bath and subjected at its other end to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat conductivity of the system. We prove the approach of the system to a time periodic state and compute the heat current, equal to the time averaged work done on the system, in that state. This work approaches a finite positive value as the length of the chain increases. Rescaling space, the strength and/or the period of the force leads to a macroscopic temperature profile corresponding to the stationary solution of a continuum heat equation with Dirichlet-Neumann boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-08T10:57:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat flow",
      "thermostatted chain",
      "random velocity reversal action",
      "continuum heat equation",
      "time periodic state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}