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arxiv: cond-mat/0110239 · v1 · submitted 2001-10-11 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

Self-organized Criticality on Small World Networks

classification ❄️ cond-mat.stat-mech cond-mat.dis-nn
keywords criticalitycrossoverlatticelifetimelongself-organizedsizesmall
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We study the BTW-height model of self-organized criticality on a square lattice with some long range connections giving to the lattice the character of small world network. We find that as function of the fraction $p$ of long ranged bonds the power law of the avalanche size and lifetime distribution changes following a crossover scaling law with crossover exponents 2/3 and 1 for size and lifetime respectively.

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