  We study correlated transport in a Josephson junction array for small
Josephson energies. In this regime transport is dominated by Cooper-pair
hopping, although we observe that quasiparticles can not be neglected. We
assume that the energy dissipated by a Cooper-pair is absorbed by the intrinsic
impedance of the array. This allows us to formulate explicit Cooper-pair
hopping rates without adding any parameters to the system. We show that the
current is correlated and crucially, these correlations rely fundamentally on
the interplay between the Cooper-pairs and equilibrium quasiparticles.
