  We report a series of molecular dynamics simulations and investigate the
possibility to separate a granular mixture of inelastic hard spheres by
vigorously shaking it in a box made of two connected compartments. As its
one-component counterpart, the system exhibits a ``left-right'' symmetry
breaking entirely due to the inelasticity of grain-grain collisions, and
triggered by increasing the number of particles. In the compartment where the
density of grains is larger, we observe a partial segregation with a
predominance of heavy particles. However, this compartment still has a higher
density of light particles than the other one, which is light-rich. The
density, granular temperature and anisotropic pressure profiles are monitored.
We also discuss how to construct a relevant order parameter for this transition
and show that the resulting bifurcation diagram is dominated by large
fluctuations.
