We study ultrasmall Josephson junctions using the coherent picture to describe the pair dynamics and the semiclassical approach for the quasiparticles. We find that the dynamics depends crucially on the ratio of the superconducting gap energy {Δ}(T) to the charging energy e²/2C. The pair ``Bloch oscillations'' can be practically observed when 2{Δ}(T)>e²/2C; for 2{Δ}(T)e²/2C the Idc/e oscillations due to quasiparticle tunneling can be observed. We discuss under what conditions the I-V characteristic will be S-shaped, exhibiting both oscillations at different values of the current.
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Mullen et al. (1988) studied this question.
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