Averaged equations for Josephson junction series arrays with LRC load
نویسندگان
چکیده
We derive the averaged equations describing a series array of Josephson junctions shunted by a parallel inductor-resistor-capacitor load. We assume that the junctions have negligable capacitance (β = 0), and derive averaged equations which turn out to be completely tractable: in particular the stability of both in-phase and splay states depends on a single parameter, δ. We find an explicit expression for δ in terms of the load parameters and the bias current. We recover (and refine) a common claim found in the technical literature, that the in-phase state is stable for inductive loads and unstable for capacitive loads. PACS numbers: 05.45.+b, 74.50.+r Supported by the Office of Naval Research under contract N00014-91-J-1257 Supported by an Organized Research Grant from NAU
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