Unstable growth and anomalous scaling

Abstract

We have studied the dynamic scaling properties of a growth model in which the particle attachment probability is a function of surface curvature. Preferential incorporation of particles at protuberances (rather than over valleys) is followed by surface diffusion. Through extensive numerical simulation, the model is found to display unstable growth, whose features depend on the attachment non-uniformity. Strikingly, all the characteristics found in anomalous scaling are also observed in this unstable growth.