  [Abridged] We analyze the exchange of dark matter between halos, subhalos,
and their environments in a high-resolution cosmological N-body simulation of a
Lambda CDM cosmology. At each analyzed redshift z we divide the dark matter
particles into 4 components: (i) isolated galactic halos, (ii) subhalos, (iii)
the diffuse medium of group and cluster halos, and (iv) the background outside
of virialized halos. We follow the time evolution of the mass distribution and
flows between these components and provide fitting functions for the exchange
rates. We use our derived exchange rates to gauge the importance of metal
redistribution in the universe due solely to gravity-induced interactions. The
diffuse metallicity in clusters is predicted to be ~40% that in isolated
galaxies (~55% of groups) at z=0, and should be lower only slightly by z=1,
consistent with observations. The metallicity of the diffuse media in poor
groups is expected to be lower by a factor of 5 by z~2, in agreement with the
observed metallicity of damped Ly$\alpha$ systems. The metallicity of the
background IGM is predicted to be (1-3)x10^{-4} that of z=0 clusters, also
consistent with observations. The agreement of predicted and observed trends
indicates that gravitational interaction alone may play an important role in
metal enrichment of the intra-cluster and intergalactic media.
