Two-component Abelian sandpile models

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Two-component Abelian sandpile models.

In one-component Abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multicomponent models. The condition of associativity of the underlying Abelian algebras imposes nonlinear relations among the toppling probabilities. These relations are derived for the case of two-component quadratic Abelian algebras. We show that Abelian sandpile models wi...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2009

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.79.042102