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We propose a new deterministic directed sandpile model on the two-dimensional square lattice. The avalanche is initiated by adding a grain to a randomly chosen site on the top row, and at each unstable site, all grains are transferred deterministically to downstream neighbors along a direction specified by arrow at this site. The model is local and conservative, but not Abelian. We apply the moment...
We present large scale simulations of the non-Abelian stochastic directed sandpile model [Phys. Rev. Lett. 88 (2002) 054302] in two dimensions. We use moment analysis to evaluate critical exponents of the avalanches and finite size scaling method to consistently test the obtained results. In contrast to recently performed investigations, we find the values of the critical exponents of the non-Abelian...
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