Self-organized Criticality on Small World Networks

Details Self-organized Criticality on Small World Networks Self-organized Criticality on Small World Networks

2001-10-11

arxiv.org/abs/cond-mat/0110239v1

Physics

Condensed Matter

Statistical Mechanics

7 figures

Scientific paper

10.1016/S0378-4371(02)00549-6

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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