Experiments on one-dimensional small capacitance Josephson Junction arrays
are described. The arrays have a junction capacitance that is much larger t
han the stray capacitance of the electrodes, which we argue is important fo
r observation of Coulomb blockade. The Josephson energy can be tuned in sit
u and an evolution from Josephson-like to Coulomb blockade behavior is obse
rved. This evolution can be described as a superconducting to insulating, q
uantum phase transition. In the Coulomb blockade state, hysteretic current-
voltage characteristics are described by a dynamic model which is dual to t
he resistively shunted junction model of classical Josephson junctions.