{
  "id": "2207.01081",
  "version": "v1",
  "published": "2022-07-03T17:25:38.000Z",
  "updated": "2022-07-03T17:25:38.000Z",
  "title": "Hydrodynamic description of Non-Equilibrium Radiation",
  "authors": [
    "Boris Rotstein",
    "Eric Akkermans"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Non-equilibrium radiation is addressed theoretically by means of a stochastic lattice-gas model. We consider a resonating transmission line composed of a chain of radiation resonators, each at a local equilibrium, whose boundaries are in thermal contact with two blackbody reservoirs at different temperatures. In the long chain limit, the stationary state of the non-equilibrium radiation is obtained in a closed form. The corresponding spectral energy density departs from the Planck expression, yet it obeys a useful scaling form. A macroscopic fluctuating hydrodynamic limit is obtained leading to a Langevin equation whose transport parameters are calculated. In this macroscopic limit, we identify a local temperature which characterises the spectral energy density. The generality of our approach is discussed and applications for the interaction of non-equilibrium radiation with matter are suggested.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-03T17:25:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-equilibrium radiation",
      "hydrodynamic description",
      "corresponding spectral energy density departs",
      "long chain limit",
      "stochastic lattice-gas model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}