Abstract
The flux-flow dynamics in a long Josephson junction is investigated for a spatiallynonuniform bias current density. Starting from the linearization about a rotatingbackground, a simple approximate solution of the modified sine–Gordon equation ispresented, making possible to derive the current–voltage characteristic of the junction. Asan example of nonuniform driving, an overlap structure with an unbiased tail is discussed.In particular, it is shown how a nonuniform distribution of the bias current density mayaffect the dynamical resistance of a flux-flow oscillator. Analytical results are comparedwith direct numerical simulations and good agreement is found for a wide range of junctiondimensions.
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