Criticality in a mass-aggregation model

We use Monte Carlo simulation to study new features of a mass-aggregation model which undergoes a dynamical phase transition. The model is characterized by an aggregate phase where the mass distribution decays as a power law, in addition to the delta function peak at infinite mass. The self-organized criticality state is observed. The avalanches in the critical state manifest a power law distribution, that reveals the existence of avalanches for all scales.