Gs. Bales et A. Zangwill, SELF-CONSISTENT RATE THEORY OF SUBMONOLAYER HOMOEPITAXY WITH ATTACHMENT DETACHMENT KINETICS/, Physical review. B, Condensed matter, 55(4), 1997, pp. 1973-1976
The reversible nucleation and growth of two-dimensional islands during
the submonolayer stage of epitaxial growth is studied with self-consi
stent rate equations and kinetic Monte Carlo simulations. In contrast
to most previous work, we take account of the effects of both a finite
energy barrier to the detachment of atoms from islands and a finite b
arrier to the incorporation of adatoms into islands. A correct boundar
y condition for the diffusion field at island edges is derived that ta
kes account of these processes. For small detachment rates, quantitati
ve agreement is obtained between the solutions to the rate theory and
the simulations for the average monomer and island densities as a func
tion of coverage.