Dynamical Scaling and Phase Separation in Growth Models with a Diffusion Bias

We study stochastic Monte Carlo solid-on-solid growth on one-dimensional substrates in the presence of two types of diffusion barriers near a step edge, termed reflection and edge barriers. In both cases we observe two-exponent dynamical scaling over three decades in time. Growth including a strong (vanishing) reflection barrier exhibits a globally faceted (flat) phase, while at intermediate barrier values the two phases coexist in the saturated morphology. With an edge barrier, coarsening stops after some time, and the morphologies exhibit wavelength selection.