Clusters generated by the product-rule (PR) growth model of Achlioptas, D'Souza, and Spencer on a two-dimensional square lattice are shown to obey qualitatively different scaling behavior from standard (random growth) percolation clusters. The threshold for the PR model with unrestricted bond placement is found precisely using a number of different criteria based upon both moments and wraparound probabilities, with the result p_c = 0.526565 +/- 0.000005, which is consistent with the recent result of Radicchi and Fortunato. The correlation-length exponent nu is found to be close to 1. The qualitative difference from regular percolation is shown dramatically in the behaviors of the percolation probability P_infty (size of largest cluster), the susceptibility, and the second moment of finite clusters. Also the cluster size distribution does not seem to follow a consistent power-law at the critical point.
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