Two-component abelian sandpile models

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In one-component abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multi-component models. The condition of associativity of the underlying abelian algebras impose 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 with two conservation laws have only trivial avalanches.
Final version. To appear in Phys.Rev.E

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/228325

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4053
 http://arxiv.org/abs/0810.4053
 Phys. Rev. E 79, 042102 (2009)
 doi:10.1103/PhysRevE.79.042102

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arXiv