  We present a scaled particle density functional study of two-dimensional
binary mixtures of hard convex particles with one or both species being
ellipses. In particular, we divide our study into two parts. The first part is
devoted to the calculation of phase diagrams of mixtures with the same
elliptical shapes, but with (i) different aspect ratios and equal particle
areas, (ii) equal aspect ratios and different particle areas and (iii) with the
former and the later being different. In the second study we obtain the phase
diagrams corresponding to crossed-mixtures of particles with species having
elliptical and rectangular shapes. We compare the phase diagram topologies and
explain their main features from the entropic nature of particle interactions
directly related to the anisotropies, areas, and shapes of species. The results
obtained can be corroborated by experiments on granular rods where the entropic
forces are very important in the stabilization of liquid-crystal textures at
the stationary states.
