Clustering and Interface Propagation in Interacting Particle Dynamics

We study the development of rough interfaces in lattice models with multispecies nearest-neighbour interactions. In particular, we study a bimolecular and a quadrimolecular interacting particle model and the Ziff - Gulari - Barshad model which involves both spontaneous (single particle) and cooperative (multiparticle) reactive steps. We show that interface roughening follows a scaling function in all models and the critical exponents depend on the particular type of interactions and the number of species involved.