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 with two conservation laws have only trivial avalanches.

FAPESP

CNPq (Brazilian Agencies)

Deutsche Forschungsgemeinschaft - DFG-RFBR

436 RUS[113/909/0-1(R)]

436 RUS[07-02-91561a]

Heisenberg-Landau program

IFTUAM/CSIC, Madrid, Spain