Abstract

A surface which consists concentric circular monoatomic steps in two dimensions and below its roughening temperature is discussed. Repulsive and attractive interactions between steps on the surface are considered. It is supposed that repulsive and attractive interactions vary as and respectively. Here indicates the terrace width between monoatomic steps. The solution of diffusion equation is achieved in two- dimension by using polar coordinates. While the initial surface evolves, it is supposed that the local mass transfer exists because of the surface diffusion only under the step-flow model. In the study initial surfaces bounded by envelope functions which have the form of are dealt. In the case of only repulsive interaction between steps surfaces evolve properly. When both repulsive and attractive interactions between steps are accepted step bunchings separated by large flat terraces occur on the surface. While the surface morphology and the evolution of the height of surface in time are investigated for all surface structures in Diffusion-Limited (DL) regime, a parameter space of bunching and no bunching regions is derived.

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