Percolation in networks with voids and bottlenecks.

  title={Percolation in networks with voids and bottlenecks.},
  author={Amir Haji-Akbari and Robert M. Ziff},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={79 2 Pt 1},
  • A. Haji-AkbariR. Ziff
  • Published 28 November 2008
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
A general method is proposed for predicting the asymptotic percolation threshold of networks with bottlenecks, in the limit that the subnet mesh size goes to zero. The validity of this method is tested for bond percolation on filled checkerboard and "stack-of-triangle" lattices. Thresholds for the checkerboard lattices of different mesh sizes are estimated using the gradient percolation method, while for the triangular system they are found exactly using the triangle-triangle transformation… 

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