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Long-ranged step-step attractions destabilize the vicinal crystal surfaces.Their competition with shorter-ranged step-step repulsions results inself-organized patterns. The exponent in the time-scaling of theircharacteristic size is influenced only by the range of the attractions but notby the range of the repulsions as we show based on precise numerical analysisof two different minimal models. Another anisotropy we identify is that thevicinal surface is not destabilized by shorter-ranged attractions.

Self-Organization on Unstable Vicinal Surfaces with Competing Interactions