Sequential updates for non-abelian SOC models

Abstract:

It is well known that the order in which the sites of a non-Abelian coupled map lattice model (as the Olami-Feder-Christensen model) are updated determines the final configuration. In order to eliminate this ambiguity one must use a parallel update. In this paper we present a simple sequential update that is equivalent to the parallel one; we show that it obeys the natural branching structure of the avalanche. We also show that the main effect of the other sequential methods, which do not obey the branching structure of the avalanche, is to increase the revisitations of critical sites, which enhances the number of large avalanches in the lattice.