{
  "id": "2501.03164",
  "version": "v1",
  "published": "2025-01-06T17:34:07.000Z",
  "updated": "2025-01-06T17:34:07.000Z",
  "title": "Large deviations of density in the non-equilibrium steady state of boundary-driven diffusive systems",
  "authors": [
    "Soumyabrata Saha",
    "Tridib Sadhu"
  ],
  "comment": "6 pages, 2 figures, 1 table (+ 5 supplementary pages)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A diffusive system coupled to unequal boundary reservoirs eventually reaches a non-equilibrium steady state. While the full-counting-statistics of current in these non-equilibrium states are well understood for generic systems, results for steady-state density fluctuations remain limited to a few integrable models. By employing an exact solution of the Macroscopic Fluctuation Theory, we characterize steady-state density fluctuations in terms of large deviations for a class of systems. Additionally, we quantitatively describe the development of these rare fluctuations. For generic diffusive systems in arbitrary dimensions, we use a perturbation around the equilibrium state to solve for the large deviation functional and the corresponding path to fluctuations, up to non-trivial orders where the non-locality of fluctuations unveils.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-01-06T17:34:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-equilibrium steady state",
      "large deviation",
      "boundary-driven diffusive systems",
      "unequal boundary reservoirs eventually reaches",
      "steady-state density fluctuations remain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}