Dynamics of an underdamped Josephson-junction ladder

Seungoh Ryu; Wenbin Yu; D. Stroud

doi:10.1103/PhysRevE.53.2190

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Dynamics of an underdamped Josephson-junction ladder

Seungoh Ryu, Wenbin Yu, D. Stroud

DOI 10.1103/PhysRevE.53.2190 · Physical Review E

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Abstract

We show analytically that the dynamical equations for an underdamped ladder of coupled small Josephson junctions can be approximately reduced to the discrete sine-Gordon equation. As numerical confirmation, we solve the coupled Josephson equations for such a ladder in a magnetic field. We obtain discrete-sine-Gordon-like IV characteristics, including a flux flow and a ‘‘whirling’’ regime at low and high currents, and voltage steps that represent a lock-in between the vortex motion and linear ‘‘phasons,’’ and which are quantitatively predicted by a simple formula. At sufficiently high anisotropy, the fluxons on the steps propagate ballistically. © 1996 The American Physical Society.