  In heavy ion collision experiments as well as in neutron stars, both baryon
and isospin chemical potentials are different from zero. In particular, the
regime of small isospin chemical potential is phenomenologically important.
Using a random matrix model, we find that the phase diagram at non-zero
temperature and baryon chemical potential is greatly altered by an arbitrarily
small isospin chemical potential: There are two first order phase transitions
at low temperature, two critical endpoints, and two crossovers at high
temperature. As a consequence, in the region of the phase diagram explored by
RHIC experiments, there are two crossovers that separate the hadronic phase
from the quark-gluon plasma phase at high temperature.
