Hydrodynamic behaviour of an Abelian Sandpile Model with Laplacian rules

Andrea Sportiello

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arXiv · 1207.5769

Hydrodynamic behaviour of an Abelian Sandpile Model with Laplacian rules

Andrea Sportiello

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Abstract

We present a sandpile model, in which the instability of a site is determined also by the variables in a neighbourhood. This is a modification of the Abelian Sandpile Model, in which abelianity is preserved: it shares several mathematical properties of the original abelian model, while producing a more realistic dynamics. We show how our model presents interesting hydrodynamic features.

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Andrea Sportiello. 2012-07-24. Hydrodynamic behaviour of an Abelian Sandpile Model with Laplacian rules. https://arxiv.org/abs/1207.5769

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