{
  "id": "2006.00583",
  "version": "v1",
  "published": "2020-05-31T18:30:42.000Z",
  "updated": "2020-05-31T18:30:42.000Z",
  "title": "On hydrodynamic limits in Sinai-type random environments",
  "authors": [
    "Claudio Landim",
    "Carlos G. Pacheco",
    "Sunder Sethuraman",
    "Jianfei Xue"
  ],
  "comment": "30 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We investigate the hydrodynamical behavior of a system of random walks with zero-range interactions moving in a common `Sinai-type' random environment on a one dimensional torus. The hydrodynamic equation found is a quasilinear SPDE with a `rough' random drift term coming from a scaling of the random environment and a homogenization of the particle interaction. Part of the motivation for this work is to understand how the space-time limit of the particle mass relates to that of the known single particle Brox diffusion limit. In this respect, given the hydrodynamic limit shown, we describe formal connections through a two scale limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-31T18:30:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37"
    ],
    "keywords": [
      "sinai-type random environments",
      "hydrodynamic limit",
      "single particle brox diffusion limit",
      "particle mass relates",
      "random drift term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}