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. (C) 2002 Elsevier Science B.V. All rights reserved.
Self-organized criticality on small world networks
DE ARCANGELIS, Lucilla;
2002
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 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. (C) 2002 Elsevier Science B.V. All rights reserved.File in questo prodotto:
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