{
  "id": "2011.13158",
  "version": "v1",
  "published": "2020-11-26T07:02:22.000Z",
  "updated": "2020-11-26T07:02:22.000Z",
  "title": "Glauber-Exclusion dynamics : rapid mixing regime",
  "authors": [
    "Ryokichi Tanaka",
    "Kenkichi Tsunoda"
  ],
  "comment": "25 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We show that for any attractive Glauber-Exclusion process on the one-dimensional lattice of size $N$ with periodic boundary condition, if the corresponding hydrodynamic limit equation has a reaction term with a strictly convex potential, then the total-variation mixing time is of order $\\Theta(\\log N)$. In particular, the result covers the full high-temperature regime in the original model introduced by De Masi, Ferrari and Lebowitz (1985).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-26T07:02:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22",
      "60J27",
      "82C20"
    ],
    "keywords": [
      "rapid mixing regime",
      "glauber-exclusion dynamics",
      "full high-temperature regime",
      "periodic boundary condition",
      "corresponding hydrodynamic limit equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}