Self-organized Criticality on Small World Networks
Statistical Mechanics
2009-11-07 v1 Disordered Systems and Neural Networks
Abstract
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 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.
Keywords
Cite
@article{arxiv.cond-mat/0110239,
title = {Self-organized Criticality on Small World Networks},
author = {L. de Arcangelis and H. J. Herrmann},
journal= {arXiv preprint arXiv:cond-mat/0110239},
year = {2009}
}
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7 figures