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

K. MAZZITELLO, C.M. ALDAO, Y H.O. MÁRTIN

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

Año: 2001 vol. 63 p. 66120 - 66120

1063-651X

The behavior of the island density exponent x 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 x depends on p. For p=1 we obtain x=1/4, the well-known result for perfect sticking and one-dimensional diffusion. Interestingly, as p is decreased, x adopts higher values. Possible reasons for this behavior are addressed. The universal result for a one-dimensional diffusion, x=1/4 , is expected to be recovered, for all p, only in the asymptotic regime.