We study the thermodynamical properties of Fermi vapors confined in a
harmonic external potential. In the case of the ideal Fermi gas, we compare
exact density profiles with their semiclassical approximation in the conditions
of recent experiments. Then, we consider the phase-separation of a
multi-component Fermi vapor. In particular, we analyze the phase-separation as
a function of temperature, number of particles and scattering length. Finally,
we discuss the effect of rotation on the stability and thermodynamics of the
trapped vapors.Comment: 15 pages, 5 figures, to be published in J. Phys. B (Atom. Mol.) as a
Special Issue Articl