Abstract
This paper examines the time-dependent Josephson effect in systems of tunnel superconducting junctions and in layered superconductors (the intrinsic Josephson effect) with allowance for nonequilibrium superconductivity effects. Kinetic and quasihydrodynamic equations are derived that describe self-consistently the dynamics of Josephson phases and nonequilibrium quasiparticles. It is found that the state of nonequilibrium between the layers leads to an effective mechanism of the interaction between interlayer Josephson junctions, which can be used to synchronize the junctions. Current-voltage characteristics of chains of intrinsic junctions are obtained for different values of the parameters.
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