Estimation of the Critical Site Occupation Probability for 2D Percolation

Felix Andrews, 2003

A project for Case Studies in Advanced Computation, a course at the Australian National University. Compututational power was provided by the APAC National Facility.

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Method

Exact

Monte-Carlo

Code

Method

Exact

Monte-Carlo

Code

Background: spanning cluster with periodic boundary conditions (128x128 lattice).

References

  1. M. Newman & R. Ziff (2001) "Fast Monte Carlo algorithm for site or bond percolation". Physical Review E, vol. 64, pg. 016706.
  2. R. Ziff & M. Newman (2002) "Convergence of threshold estimates for two-dimensional percolation". Physical Review E, vol. 66, pg. 016129.