  We apply a random matrix model to the study of the phase diagram of QCD with
two colors, two flavors, and a small quark mass. Although the effects of
temperature are only included schematically, this model reproduces most of the
ground state predictions of chiral perturbation theory and also gives a
qualitative picture of the phase diagram at all temperatures. It leads,
however, to an unphysical behavior of the chiral order parameter and the baryon
density in vacuum and does not support diquark condensation at arbitrarily high
densities. A better treatment of temperature dependence leads to correct vacuum
and small temperature properties. We compare our results at both high and low
densities with the results of microscopic calculations using the
Nambu-Jona-Lasinio model and discuss the effects of large momentum scales on
the variations of condensation fields with chemical potential.
