PERCOLATION CLUSTERS
Bond percolation on 2D lattice — p_c ≈ 0.5
Occupation probability p
p = 0.50
Grid size N
N = 40
REGENERATE [R]
BELOW p_c
Giant cluster
—
Num clusters
—
Spanning?
—
Mean size
—
Near p_c, the giant connected component appears. Cluster size distribution follows a power law with exponent τ≈2.05. Above p_c, a spanning cluster connects top to bottom — the percolation transition.
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