EXACT ISLAND-SIZE DISTRIBUTIONS FOR SUBMONOLAYER DEPOSITION - INFLUENCE OF CORRELATIONS BETWEEN ISLAND SIZE AND SEPARATION

We determine the exact scaling form of the size distribution of island s created via homogeneous nucleation and growth during submonolayer de position. This scaling form is shown to be controlled by the dependenc e on size of the propensity for islands to capture diffusing adatoms. This size dependence is determined directly from simulations. It is di stinct from mean-field predictions, reflecting strong correlations bet ween island size and separation.