Effects of the sticking probability on the scaling of the island density in a point island model

The behavior of the island density exponent χ for a model of deposition, nucleation, and aggregation of particles, forming point islands with a sticking probability p in one dimension, is analyzed. Using Monte Carlo simulation we found that χ depends on p. For p=1 we obtain χ≅1/4, the well-known result for perfect sticking and one-dimensional diffusion. Interestingly, as p is decreased, χ adopts higher values. Possible reasons for this behavior are addressed. The universal result for a one-dimensional diffusion, χ=1/4, is expected to be recovered, for all p, only in the asymptotic regime