{
  "id": "2009.08609",
  "version": "v1",
  "published": "2020-09-18T03:22:11.000Z",
  "updated": "2020-09-18T03:22:11.000Z",
  "title": "Large Deviations in Random Sequential Adsorption",
  "authors": [
    "P. L. Krapivsky"
  ],
  "comment": "10 pages, 2 figures",
  "categories": [
    "cond-mat.stat-mech",
    "math.PR"
  ],
  "abstract": "In a random sequential adsorption process, objects are deposited randomly, irreversibly, and sequentially; if an attempt to add an object results in an overlap with previously deposited objects, the attempt is discarded. The process continues until the system reaches a jammed state when no further additions are possible. Exact analyses have been performed only in one-dimensional models, and the average number of absorbed particles has been computed in a few solvable situations. We analyze a process in which landing on an empty site is allowed when at least $b$ neighboring sites on the left and the right are empty. For the minimal model ($b=1$), we compute the full counting statistics of the occupation number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-18T03:22:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large deviations",
      "random sequential adsorption process",
      "full counting statistics",
      "object results",
      "minimal model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}