Controls
Status
No spanning cluster
Occupied cells--
Clusters--
Largest cluster--
Spanning?--
Phase diagram
-- P(percolation)
| p_c ~ 0.593
Top clusters
About
Each cell is occupied with probability p.
Connected occupied cells form clusters.
At the critical threshold pc ~ 0.5927
(square lattice, site percolation), a cluster first spans from top to bottom -- a phase transition.
Drag the slider to feel the transition. Near pc, the system is maximally sensitive -- tiny changes in p produce dramatic changes in connectivity. This is the same physics behind critical phenomena in magnets, epidemics, and forest fires.
Drag the slider to feel the transition. Near pc, the system is maximally sensitive -- tiny changes in p produce dramatic changes in connectivity. This is the same physics behind critical phenomena in magnets, epidemics, and forest fires.