Self-organized criticality on small world networks

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.