One-dimensional arrays of Josephson junctions have been studied becaus
e of their unusual zero-temperature superconductor-insulator phase tra
nsitions. Furthermore, their low-energy Hamiltonian coincides with tha
t of a Luttinger liquid. Hence 1-D Josephson junction arrays provide a
physical realization of this model system. In order to explore these
similarities we discuss 1-D arrays with defects, making contact to rec
ent studies of transport in Luttinger liquids. We then study Andreev t
unnelling between a Josephson chain and a normal metal and between a s
uperconductor and a Luttinger liquid. In both cases, the current-volta
ge characteristics strongly deviate From a linear dependence.