  The temperature dependence of the thermodynamic potential of quantum
chromodynamics (QCD), the specific heat, and the quark effective mass are
calculated for imbalanced quark matter in the limit of a large number of quark
flavors (large-$N_F$), which corresponds to the random phase approximation.
Also a generalization of the relativistic Landau effective-mass relation in the
imbalanced case is given, which is then applied to this thermodynamic
potential.
