Simulation results for island nucleation and growth during thin film deposi
tion with mobile islands are presented. The islands have a diffusion consta
nt Ds(-mu) that depends on island size s. The dynamic scaling properties of
the island density variation with coverage are investigated. It is found t
hat the maximum density N(m)similar to (D/F)(-x) occurs at coverage theta (
m)similar to (D/F)(-omega) where F is the monomer deposition rate. The grow
th exponents chi and omega are found to vary in a systematic way with the m
obility coefficient mu. This suggests that experiments may be devised to in
vestigate this behavior in real systems. A mean-field-theory description is
also presented to draw out the physics of the scaling. Numerical solutions
of the rate equations show very good agreement with the Simulation results
and also show that the scaling phenomenon is robust with respect to island
morphology and is not restricted to the simplistic model used here in the
simulations.