Site vs bond percolation

Site: each vertex present w.p. p. Bond: each edge present w.p. p. Different thresholds.

Advertisement

Critical exponents

Near p_c, correlation length ξ ~ (p - p_c)^(-ν). Cluster size distribution has power-law near p_c.

Advertisement

Universality

Critical exponents depend only on dimension + few features, not specific lattice. Universal.

Applications

Forest fires. Epidemic spread. Disordered material conductivity. Wireless network coverage.