{
  "annotation_id": "8dcff673-297b-4478-9517-dcc867d6d885",
  "date_created": "2026-03-02T18:01:25.021000Z",
  "date_modified": "2026-03-02T18:01:25.021000Z",
  "file_hash": "f7a244c33ce63727291e03c622d558f3560abed3105059a274de5264a826d363",
  "private": false,
  "record": {
    "abstract": "We describe an algorithm for the Rosenbluth Monte Carlo enumeration of\nclusters and lattice animals. The method may also be used to calculate\nassociated properties such as moments or perimeter multiplicities of the\nclusters. The new scheme is an extension of the Rosenbluth method for growing\npolymer chains and is a simplification of a scheme reported earlier by one of\nthe authors. The algorithm may be used to estimate the number of distinct\nlattice animals on any lattice topology. The method is validated against exact\nand Monte Carlo enumerations for clusters up to size 50, on a two dimensional\nsquare lattice and three dimensional simple cubic lattice. The method may be\nreadily adapted to yield Boltzmann weighted averages over clusters.",
    "arxiv_id": "physics/9911023",
    "authors": [
      "C M Care",
      "R Ettelaie"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1103/PhysRevE.62.1397",
    "title": "An improved Rosenbluth Monte Carlo scheme for cluster counting and   lattice animal enumeration",
    "url": "https://arxiv.org/abs/physics/9911023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "67e80139-ed0a-4f2a-8e56-e1c6d6fc06d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}