Percolation Crossing

Spanning cluster probability at the bond percolation threshold

Controls

Statistics

Crossing:
Largest cluster:
Open fraction:
pc (bond):0.5000
pc (site):0.5927

Crossing Probability

About

Bond percolation: each edge open with probability p. A spanning cluster connects left to right. At pc=1/2 (Kesten 1980), a giant cluster emerges. Critical exponents: β=5/36, ν=4/3.