Theory of boundary effects in invasion percolation

@article{Gabrielli1998TheoryOB,
  title={Theory of boundary effects in invasion percolation},
  author={A. Gabrielli and R. Cafiero and G. Italy and Dip. Fis. Roma Tor Vergata Italy and M. F. R. Germany and Tcm and Cavendish Lab. Cambridge and Uk},
  journal={Journal of Physics A},
  year={1998},
  volume={31},
  pages={7429-7446}
}
We study the boundary effects in invasion percolation (IP) with and without trapping. We find that the presence of boundaries introduces a new set of surface critical exponents, as in the case of standard percolation. Numerical simulations show a fractal dimension, for the region of the percolating cluster near the boundary, remarkably different from the bulk one. In fact, on the surface we find a value of (for IP with trapping ), compared with the bulk value of . We find a logarithmic… Expand
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