Percolation thresholds of two-dimensional continuum systems of rectangles.

@article{Li2013PercolationTO,
  title={Percolation thresholds of two-dimensional continuum systems of rectangles.},
  author={Jiantong Li and Mikael {\"O}stling},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={88 1},
  pages={
          012101
        }
}
  • Jiantong LiM. Östling
  • Published 4 April 2013
  • Mathematics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The present paper introduces an efficient Monte Carlo algorithm for continuum percolation composed of randomly oriented rectangles. By conducting extensive simulations, we report high-precision percolation thresholds for a variety of homogeneous systems with different rectangle aspect ratios. This paper verifies and extends the excluded area theory. It is confirmed that percolation thresholds are dominated by the average excluded areas for both homogeneous and heterogeneous rectangle systems… 

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