A model with local interparticle diffusion is considered, in contrast
with the classical model of Ostwald ripening (the mean field model) an
d its multiparticle extensions which have long range interactions. Sim
ulations of the evolution of the system show that the asymptotic behav
ior obeys a power law. It is also found that the scaled asymptotic dis
tribution of particle radii is broader than in the previous models, ev
en at low initial coverage where the multiparticle models have the sam
e narrow scaled distribution as the mean field model. The scaling prop
erties are independent of the initial particle size distribution.