{
  "id": "2411.17653",
  "version": "v1",
  "published": "2024-11-26T18:17:01.000Z",
  "updated": "2024-11-26T18:17:01.000Z",
  "title": "Exclusion processes with non-reversible boundary: hydrodynamics and large deviations",
  "authors": [
    "Claudio Landim",
    "João Pedro Mangi",
    "Beatriz Salvador"
  ],
  "comment": "44 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For appropriate choices of the boundary rates, these partial differential equations have more than one stationary solution. We prove the dynamical large deviations principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-26T18:17:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J27",
      "60K35",
      "82C22",
      "60F10",
      "60F17"
    ],
    "keywords": [
      "exclusion processes",
      "non-reversible boundary",
      "non-linear robin boundary conditions",
      "hydrodynamics",
      "dynamical large deviations principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}