Fast Monte Carlo algorithm for site or bond percolation.

  title={Fast Monte Carlo algorithm for site or bond percolation.},
  author={Mark E. J. Newman and Robert M. Ziff},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={64 1 Pt 2},
  • M. NewmanR. Ziff
  • Published 18 January 2001
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
We describe in detail an efficient algorithm for studying site or bond percolation on any lattice. The algorithm can measure an observable quantity in a percolation system for all values of the site or bond occupation probability from zero to one in an amount of time that scales linearly with the size of the system. We demonstrate our algorithm by using it to investigate a number of issues in percolation theory, including the position of the percolation transition for site percolation on the… 

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