Artículos de revistas
Two-component Abelian sandpile models
Fecha
2009Registro en:
PHYSICAL REVIEW E, v.79, n.4, 2009
1539-3755
10.1103/PhysRevE.79.042102
Autor
ALCARAZ, Francisco Castilho
PYATOV, P.
RITTENBERG, V.
Institución
Resumen
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 with two conservation laws have only trivial avalanches.