INVESTIGATIONS ON PHASE-LOCKING IN A 2-DIMENSIONAL JOSEPHSON-JUNCTIONARRAY WITHIN THE WERTHAMER AND THE RCSJ MODEL

The synchronization properties of a simple two-dimensional Josephson a rray consisting of two coupled SQUID cells are studied within the Wert hamer as well as the RCSJ model. Special emphasis is placed on the rol e of inductances arranged perpendicular and parallel to the current bi as direction for the phase locking behavior. The general behavior with in the Werthamer model is found to be similar to that within the RCSJ model. However, there are quantitative differences, e.g. an enhanced p hase shift between the voltage oscillations within one cell and a shif t of the parameter range for the in-phase regime between different cel ls towards lower values of the McCumber parameter in the Werthamer mod el.