Dissipative Abelian sandpiles and random walks
Dissipative Abelian sandpiles and random walks
We show that the dissipative Abelian sandpile on a graph $\mathcal{L}$ can be related to a random walk on a graph that consists of $\mathcal{L}$ extended with a trapping site. From this relation it can be shown, using exact results and a scaling assumption, that the correlation length exponent $\ensuremath{\nu}$ …