LOGARITHMIC ISLANDING IN SUBMONOLAYER EPITAXIAL-GROWTH

We investigate submonolayer epitaxial growth with a fixed monomer flux and irreversible aggregation of adatom islands due to an effective is land diffusion, with a diffusivity for an mass k island proportional t o k(-mu). For 0 less than or equal to mu < 1, there is a steady state, while for mu greater than or equal to 1, continuously evolving logari thmic islanding occurs in which the island density grows extremely slo wly, as (ln t)(mu/2). In the latter regime, the island size distributi on exhibits complex, but universal, multiple-scale mass dependence whi ch we account for theoretically.