Monte Carlo studies of percolation phenomena for a simple cubic lattice

@article{Sur1976MonteCS,
  title={Monte Carlo studies of percolation phenomena for a simple cubic lattice},
  author={Amit Sur and Joel L. Lebowitz and Joaqu{\'i}n Marro and Malvin H. Kalos and Scott Kirkpatrick},
  journal={Journal of Statistical Physics},
  year={1976},
  volume={15},
  pages={345-353}
}
The site-percolation problem on a simple cubic lattice is studied by the Monte Carlo method. By combining results for periodic lattices of different sizes through the use of finite-size scaling theory we obtain good estimates forpc (0.3115±0.0005),β (0.41±0.01),γ (1.6±0.1), andν(0.8±0.1). These results are consistent with other studies. The shape of the clusters is also studied. The average “surface area” for clusters of sizek is found to be close to its maximal value for the low-concentration… 

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