We have performed Monte-Carlo simulations of the growth of GaAs by MBE
. We included in our calculations the anisotropy of the migration, the
formation of As-dimers and a partial desorption of the As. As an obse
rvable we calculated the RHEED signal of the specularly reflected elec
trons. The results have been compared with experimental data comprisin
g both the damping of the oscillations and the recovery following a gr
owth interrupt. The agreement between experiment and calculations is r
ather good. Moreover we could identify the mechanisms underlying the f
ast and the slow component of the recovery.