{
  "id": "1502.03516",
  "version": "v1",
  "published": "2015-02-12T02:20:15.000Z",
  "updated": "2015-02-12T02:20:15.000Z",
  "title": "A rigorous derivation of multicomponent diffusion laws",
  "authors": [
    "Zaibao Yang",
    "Wen-An Yong",
    "Yi Zhu"
  ],
  "comment": "12 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "This article is concerned with the dynamics of a mixture of gases. Under the assumption that all the gases are isothermal and inviscid, we show that the governing equations have an elegant conservation-dissipation structure. With the help of this structure, a multicomponent diffusion law is derived mathematically rigorously. This clarifies a long-standing non-uniqueness issue in the field for the first time. The multicomponent diffusion law derived here takes the spatial gradient of an entropic variable as the thermodynamic forces and satisfies a nonlinear version of the Onsager reciprocal relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-12T02:20:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rigorous derivation",
      "elegant conservation-dissipation structure",
      "onsager reciprocal relations",
      "long-standing non-uniqueness issue",
      "thermodynamic forces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}