Journal of Statistical Physics, Vol. 73, Nos. 1/2, 1993. p. 399-408.
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 Z^2 with the best-known numerical methods.