Dynamics of An Underdamped Josephson Junction Ladder

Details Dynamics of An Underdamped Josephson Junction Ladder Dynamics of An Underdamped Josephson Junction Ladder

1995-06-29

arxiv.org/abs/cond-mat/9506134v1

Physics

Condensed Matter

11pages, latex, no figures

Scientific paper

10.1103/PhysRevE.53.2190

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 which 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.

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