Sandpile Self-Organized Criticality

Bak-Tang-Wiesenfeld model — power-law avalanches at the critical state

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Statistics

Total grains0
Total topplings0
Last avalanche0
Largest ever0
Avalanches total0

Avalanche Size Distribution

log-log: should be power law s⁻ᵅ
0 1 2 3 ≥4
The sandpile self-organizes to a critical state without tuning. Avalanche sizes follow P(s)∝s⁻ᵅ with α≈1 (2D). This is self-organized criticality (SOC): the system is a natural attractor of critical behavior.