Two-dimensional polymer networks near percolation

@article{Wu2008TwodimensionalPN,
  title={Two-dimensional polymer networks near percolation},
  author={Yong Wu and Beate Schmittmann and R. K. P. Zia},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2008},
  volume={41},
  pages={025004}
}
We report an extensive finite-size study of polymer networks near the percolation threshold, using numerical techniques. The polymers are modeled by random walks occupying the bonds of a two-dimensional square lattice. We measure the percolation threshold and critical exponents of the networks for various polymer lengths. We find that the critical occupation probability is a decreasing function of the polymer length, and the percolation of polymers with a fixed polymer length belongs to the… 
13 Citations

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