The temperature dependence of different thermodynamic quantities such
as the free energy, chemical potential, symmetry energy, single partic
le potential, equation of state, etc., is studied for asymmetric nucle
ar matter within a fully self-consistent model with an effective inter
action. The equation of state is found to be quite soft in agreement w
ith supernova calculations. The critical temperature for the occurrenc
e of a liquid gas phase transition is found to decrease with the proto
n-to-neutron ratio gamma and finally vanishes for pure neutron matter.
The possibility of pi- condensation has also been studied.