Dynamics of arrays of inductively-coupled Josephson junctions

We present the results of our simulations of inductively-coupled overdamped Josephson junction arrays in a vanishingly small external magnetic field. With identical junctions we show that the junctions are always phase locked and that the output power is optimised when the loop inductance is minimised. For nonidentical junctions, however, the junctions may or may not be phase locked. We show that a high loop inductance increases the probability of phase locking, and that the average output power is maximised when the normalised loop inductance is equal to one. The addition of a load inductance external to the array does not affect the probability of phase locking.