  A system of smooth "frozen" Janus-type disks is studied. Such disks cannot
rotate and are divided by their diameter into two sides of different
inelasticities. Taking as a reference a system of colored elastic disks, we
find differences in the behavior of the collisions once the anisotropy is
included. A homogeneous state, akin to the homogeneous cooling state of
granular gases, is seen to arise and the singular behavior of both the
collisions and the precollisional correlations are highlighted.
