  We study the equilibrium behavior of one-dimensional granular clusters and
one-particle granular gases for a variety of velocity dependent coefficients of
restitution $r$. We obtain equations describing of the long time behavior for
the cluster's pressure, r.m.s. velocity and granular inter-spacing. We show
that for extremely long times, clusters with velocity dependent coefficients of
restitution are unstable and dissolve into homogeneous, quasi-elastic gases,
but clusters with velocity independent $r$ are permanent. This is in accordance
with hydrodynamic studies pointing to the transient nature of density
instabilities for granular gases with velocity dependent $r$.
