Dynamics of An Underdamped Josephson Junction Ladder

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 dis...

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Bibliographic Details
Published inarXiv.org
Main Authors Ryu, Seungoh, Yu, Wenbin, Stroud, D
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.06.1995
Subjects
Anisotropy
Computational fluid dynamics
Current voltage characteristics
Josephson junctions
Mathematical analysis
Phasons
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.9506134