Abstract
We present a cellular automata model as a new approach to Bernoulli site percolation on the square lattice. A new macroscopic quantity is defined and numerically computed at each level step of the automata dynamics. Its limit manifests a critical behavior at a value of the site occupancy probability quite close to those obtained for site percolation on ℤ2 with the best-known numerical methods.
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Blanchard, P., Gandolfo, D. Cellular automata approach to site percolation on ℤ2. A numerical study. J Stat Phys 73, 399–408 (1993). https://doi.org/10.1007/BF01052768
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DOI: https://doi.org/10.1007/BF01052768