Percolation and jamming in random sequential adsorption of linear segments on a square lattice.

@article{Kondrat2001PercolationAJ,
  title={Percolation and jamming in random sequential adsorption of linear segments on a square lattice.},
  author={Grzegorz Kondrat and Andrzej Pekalski},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2001},
  volume={63 5 Pt 1},
  pages={
          051108
        }
}
  • G. KondratA. Pekalski
  • Published 2 February 2001
  • Computer Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We present the results of a study of random sequential adsorption of linear segments (needles) on sites of a square lattice. We show that the percolation threshold is a nonmonotonic function of the length of the adsorbed needle, showing a minimum for a certain length of the needles, while the jamming threshold decreases to a constant with a power law. The ratio of the two thresholds is also nonmonotonic and it remains constant only in a restricted range of the needles length. We determine the… 
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