The behavior of a non equilibrium lattice-gas model for irreversible format
ion of two-dimensional islands during submonolayer deposition or etching is
examined in detail. In particular, recent developments in describing captu
re of diffusing species by islands of various sizes are reviewed. Both exac
t and geometric descriptions of capture are discussed, elucidating the role
of the local environment of the islands, and its dependence on island size
, on adatom capture and individual island growth rates. Limitations in mean
-field treatments of capture are noted. These results are applied to charac
terize the growth of Ag islands on Ag(100), Cu/Co islands on Ru(0001), and
pits on Si(001) etched with molecular oxygen. (C) 2000 Elsevier Science B.V
. All rights reserved.