  We examine the phase diagram of an ordered one-dimensional Josephson array of
small grains. The average grain charge in such a system can be tuned by means
of gate voltage. At small grain-to-grain conductance, this system is strongly
correlated because of the charge discreteness constraint (Coulomb blockade). At
the gate voltages in the vicinity of the charge degeneracy points, we find new
phases equivalent to a commensurate charge density wave and to a repulsive
Luttinger liquid. The existence of these phases can be probed through a special
dependence of the Josephson current on the gate voltage.
