  In this work we investigate the general properties and the ground state of an
asymmetrical dilute gas of cold fermionic atoms, formed by two particle species
having different densities. We have show in a recent paper, that a mixed phase
composed of normal and superfluid components is the energetically favored
ground state of such a cold fermionic system. Here we extend the analysis and
verify that in fact, the mixed phase is the preferred ground state of an
asymmetrical superfluid in various situatiations. We predict that the mixed
phase can serve as a way of detecting superfluidity and estimating the
magnitude of the gap parameter in asymmetrical fermionic systems.
