{
  "id": "1409.5507",
  "version": "v1",
  "published": "2014-09-19T03:37:54.000Z",
  "updated": "2014-09-19T03:37:54.000Z",
  "title": "Two-dimensional percolation with multiple seeds",
  "authors": [
    "Hongting Yang",
    "Stephan Haas"
  ],
  "comment": "10 pages, 1 table and 5 figures",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study non-uniform percolation in a two-dimensional cluster growth model with multiple seeds. With increasing concentration of seeds, the percolation threshold is found to increase monotonically, while the exponents for correlation length, order parameter, and average cluster size, keep invariant. The scaling law for an infinite square lattice keeps working for any nonzero concentration of seeds. Abnormal finite-size scaling behaviours happen at low concentration of seeds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-19T03:37:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple seeds",
      "two-dimensional percolation",
      "two-dimensional cluster growth model",
      "study non-uniform percolation",
      "abnormal finite-size scaling behaviours happen"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.5507Y"
    }
  }
}