Dynamics of an underdamped Josephson-junction ladder

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.2190· OSTI ID:282014

Ryu, S; Yu, W; Stroud, D ^[1]

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1. Department of Physics, Ohio State University, Columbus, Ohio 43210 (United States)

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 {ital IV} characteristics, including a flux flow and a {open_quote}{open_quote}whirling{close_quote}{close_quote} regime at low and high currents, and voltage steps that represent a lock-in between the vortex motion and linear {open_quote}{open_quote}phasons,{close_quote}{close_quote} and which are quantitatively predicted by a simple formula. At sufficiently high anisotropy, the fluxons on the steps propagate ballistically. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Purdue Research Foundation
• DOE Contract Number: FG02-90ER45427
• OSTI ID: 282014
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 53; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
DYNAMICS
FLUX QUANTIZATION
IV CHARACTERISTIC
JOSEPHSON JUNCTIONS
MAGNETIC FIELDS
NUMERICAL SOLUTION
PHASONS
SINE-GORDON EQUATION