Two-component abelian sandpile models

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dc.creatorAlcaraz, F. C.
dc.creatorPyatov, P.
dc.creatorRittenberg, V.
dc.date2008-10-22
dc.date2009-03-12
dc.date.accessioned2026-07-07T13:08:08Z
dc.date.available2026-07-07T13:08:08Z
dc.descriptionIn 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.
dc.descriptionFinal version. To appear in Phys.Rev.E
dc.identifierhttps://arxiv.org/abs/0810.4053
dc.identifierhttp://arxiv.org/abs/0810.4053
dc.identifierPhys. Rev. E 79, 042102 (2009)
dc.identifierdoi:10.1103/PhysRevE.79.042102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228325
dc.subjectStatistical Mechanics
dc.titleTwo-component abelian sandpile models
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