The considerable scatter of heavy element abundances observed in low-metall
icity stars, as well as the peculiar abundances observed in some halo stars
(e.g. CS 22892-052), support the hypothesis of an inhomogeneous enrichment
of the Galactic halo at early times. Moreover the presence of r-process el
ements in low-metallicity stars is indicative of a prompt enrichment of the
Galaxy by early generations of massive stars. In this contribution, we pre
sent the results of a Monte Carlo model for the dynamical and chemical Gala
ctic evolution of halo gas, in particular for Fe and elements mostly produc
ed by r-process nucleosynthesis, like Eu.