{
  "id": "1706.02550",
  "version": "v1",
  "published": "2017-06-08T12:46:38.000Z",
  "updated": "2017-06-08T12:46:38.000Z",
  "title": "Jammed systems of oriented needles always percolate on square lattices",
  "authors": [
    "Grzegorz Kondrat",
    "Zbigniew Koza",
    "Piotr Brzeski"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or $k$-mers, on a square lattice the percolation is impossible if the needles are sufficiently long ($k$ of order of several thousand). We refute these claims and present a strict proof that in any jammed configuration of nonoverlapping, fixed-length, horizontal or vertical needles on a square lattice, all clusters are percolating clusters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-08T12:46:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "square lattice",
      "jammed systems",
      "oriented needles",
      "random sequential adsorption",
      "standard method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}