title: Island nucleation and growth with anomalous diffusion.
abstract: While most studies of submonolayer island nucleation and growth have been based on the assumption of ordinary monomer diffusion corresponding to diffusion exponent μ=1, in some cases either subdiffusive (μ<1) or superdiffusive (μ>1) behavior may occur. Here we present general expressions for the exponents describing the flux dependence of the island and monomer densities as a function of the critical island size i, substrate dimension d, island fractal dimension d_{f}, and diffusion exponent μ, where 0≤μ≤2. Our results are compared with kinetic Monte Carlo simulations for the case of irreversible island growth (i=1) with 0≤μ≤2 and d=2 as well as simulation results for d=1, 3, and 4, and excellent agreement is found.
authors.affiliation: Department of Physics & Astronomy, University of Toledo, Toledo, Ohio 43606, USA.
authors.forename: Jacques G
authors.initials: JG
authors.lastname: Amar
authors.affiliation: Department of Physics & Astronomy, University of Toledo, Toledo, Ohio 43606, USA.|Department of Physics & Astronomy, California State University, Long Beach, Long Beach, California 90840, USA.
authors.forename: Mikhael
authors.initials: M
authors.lastname: Semaan