ISLAND DISTANCE IN ONE-DIMENSIONAL EPITAXIAL-GROWTH

The typical island distance l in submonolayer epitaxial growth depends on the growth conditions via an exponent gamma. This exponent is know n to depend on the substrate dimensionality, the dimension of the isla nds, and the size i of the critical nucleus for island formation. In this paper we study the dependence of gamma on i in one-dimensional e pitaxial growth. We derive that gamma = i/(2i* + 3) for i* greater th an or equal to 2 and confirm this result by computer simulations.