Patterns and scaling properties in a ballistic deposition model

We study a ballistic deposition model in 1+1 dimensions in which the incident angles (the angles between the incident trajectories and the substrate) of incoming particles and randomly distributed in the range [θ,π-θ]. We find a sharp morphological transition at a critical angle ${\mathrm{\theta }}_{\mathit{c}}$≊10 °. For θ>${\mathrm{\theta }}_{\mathit{c}}$, the scaling properties of the interface are described by the Kardar-Parisi-Zhang equation. For θ<${\mathrm{\theta }}_{\mathit{c}}$, the shadowing effect leads to a very different morphology. We determine the scaling properties of this new universality class numerically and analytically.