  We investigate the chiral phase transition at nonzero temperature $T$ and
baryon-chemical potential $\mu_B$ within the framework of the linear sigma
model and the Nambu-Jona-Lasinio model. For small bare quark masses we find in
both models a smooth crossover transition for nonzero $T$ and $\mu_B=0$ and a
first order transition for T=0 and nonzero $\mu_B$. We calculate explicitly the
first order phase transition line and spinodal lines in the $(T,\mu_B)$ plane.
As expected they all end in a critical point. We find that, in the linear sigma
model, the sigma mass goes to zero at the critical point. This is in contrast
to the NJL model, where the sigma mass, as defined in the random phase
approximation, does not vanish. We also compute the adiabatic lines in the
$(T,\mu_B)$ plane. Within the models studied here, the critical point does not
serve as a ``focusing'' point in the adiabatic expansion.
