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A detailed numerical study of a sine-Gordon model of the Josephson tunnel junction is compared with experimental measurements on junctions with different L{₉} ratios. The soliton picture is found to apply well on both relatively long (L{₉}=6) and intermediate (L{₉}=2) junctions. We find good agreement for the current-voltage characteristics, power output, and for the shape and height of the zero-field steps (ZFS). Two distinct modes of soliton oscillations are observed: (i) a bunched or congealed mode giving rise to the fundamental frequency f₁ on all ZFS's and (ii) a "symmetric" mode which on the Nth ZFS yields the frequency Nf₁ Coexistence of two adjacent frequencies is found on the third ZFS of the longer junction (L{₉}=6) in a narrow range of bias current as also found in the experiments. Small asymmetries in the experimental environment, a weak magnetic field, e. g. , is introduced via the boundary conditions of our numerical model. This gives a junction response to variations in the applied bias current close to that observed experimentally.
Lomdahl et al. (Sat,) studied this question.
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