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

Abstract

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 [formula presented] we obtain [formula presented] 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, [formula presented] is expected to be recovered, for all p, only in the asymptotic regime. © 2001 The American Physical Society.