  We show that the planar, charged black hole in AdS, dual to the strongly
coupled Quark-Gluon Plasma thermal state of large $N$, $SU(N)$, $\mathcal{N}=4$
super Yang-Mills at finite chemical potential undergoes a third-order phase
transition in the grand canonical ensemble to a hairy black hole of type IIB
supergravity. The hairy phase is another strongly coupled fluid with a
conformal equation of state and can be interpreted as another kind of
Quark-Gluon plasma. This new Quark-Gluon plasma has less entropy and,
therefore, seems to characterize some form of smooth hadronization. The locus
of the transition in terms of the "Baryon" chemical potential, $\mu$, and the
temperature, $T$, is $\mu=2\pi T$.
