BTW sandpile mean-field: avalanche P(s) ~ s^(-3/2); tail integral divergent (Borel-Cantelli)

Layer 1 — Physicsin the self-organization subtree

Bak-Tang-Wiesenfeld self-organized-criticality framework. Setup: slowly-driven dissipative sandpile models (BTW 1987 PRL 59, 381) self-organize into a critical steady state exhibiting scale-free avalanche statistics. In mean-field, the…

Related concepts

Borel-Cantelli lemmas
Theorem: BTW tail integral int_1^inf 2/sqrt(s) ds = inf (Borel-Cantelli infinite-avalanche criterion)

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