Critical behavior of a small-world sandpile model

Abstract

We have considered the Abelian sandpile model on a small-world network. To obtain a small-world network, we have added a few long-ranged bonds to an ordinary square lattice. It is observed that the probability distribution of the avalanches has two distinct power-law regimes: one corresponding to the ordinary BTW model and another that emerges because of the small-world structure of the network.