Self-Organized Criticality — avalanche power laws without parameter tuning
Grains: 0
Avalanche: 0
Total avalanches: 0
Largest: 0
Drop rate3/frame
Grid size
Abelian sandpile: each cell holds grains. When a cell reaches threshold (≥4), it topples: loses 4 grains, each neighbor gains 1. Toppling cascades create avalanches. The system self-organizes to a critical state where avalanche sizes follow a power law P(s) ∝ s−τ (τ ≈ 1.2). No parameter tuning needed — SOC emerges naturally. Click the canvas to add a burst of grains.