Transitions in the critical island size i in submonolayer growth from
i = 1 to i = 2 and From i = 1 to i = 3, corresponding to homoepitaxial
growth on metal (111) and (100) surfaces. are studied using kinetic M
onte Carlo simulations of a restricted pair-bond model, both with and
without island relaxation. and are compared with rate-equation predict
ions. In both cases, the rate equations significantly underestimate th
e transition temperature from i = 1 behavior to a higher critical isla
nd size. The difference is due to the neglect of spatial correlations
in the standard rate-equation approach. A partial solution involving t
he use of effective detachment rates is proposed. (C) 1997 Elsevier Sc
ience B.V.