Comparison between one-dimensional and two-dimensional models for Josephson junctions of overlap type

J. C Eilbeck; P.S. Lomdahl; O.H. Olsen; Mogens Rugholm Samuelsen

doi:10.1063/1.335478

Comparison between one-dimensional and two-dimensional models for Josephson junctions of overlap type

J. C Eilbeck, P.S. Lomdahl, O.H. Olsen, Mogens Rugholm Samuelsen

Los Alamos National Laboratory

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Abstract

A two-dimensional model of Josephson junction of overlap type is presented. The energy input is provided through induced magnetic fields modeled by a set of boundary conditions. In the limit of a very narrow junction, this model reduces to the one-dimensional model. Further, an equation derived for the critical current leads in this limit to the critical current obtained from the one-dimensional model. Comparisons between stationary fluxon velocities obtained from the two models by means of numerical computations show that the difference is negligible. This supports the experimental observation that measurements are insensitive to the width of the junction. Journal of Applied Physics is copyrighted by The American Institute of Physics.

Original language	English
Journal	Journal of Applied Physics
Volume	57
Issue number	3
Pages (from-to)	861-866
ISSN	0021-8979
DOIs	https://doi.org/10.1063/1.335478
Publication status	Published - 1985

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Copyright (1985) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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title = "Comparison between one-dimensional and two-dimensional models for Josephson junctions of overlap type",

abstract = "A two-dimensional model of Josephson junction of overlap type is presented. The energy input is provided through induced magnetic fields modeled by a set of boundary conditions. In the limit of a very narrow junction, this model reduces to the one-dimensional model. Further, an equation derived for the critical current leads in this limit to the critical current obtained from the one-dimensional model. Comparisons between stationary fluxon velocities obtained from the two models by means of numerical computations show that the difference is negligible. This supports the experimental observation that measurements are insensitive to the width of the junction. Journal of Applied Physics is copyrighted by The American Institute of Physics.",

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note = "Copyright (1985) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.",

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T1 - Comparison between one-dimensional and two-dimensional models for Josephson junctions of overlap type

AU - Eilbeck, J. C

AU - Lomdahl, P.S.

AU - Olsen, O.H.

AU - Samuelsen, Mogens Rugholm

N1 - Copyright (1985) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

PY - 1985

Y1 - 1985

N2 - A two-dimensional model of Josephson junction of overlap type is presented. The energy input is provided through induced magnetic fields modeled by a set of boundary conditions. In the limit of a very narrow junction, this model reduces to the one-dimensional model. Further, an equation derived for the critical current leads in this limit to the critical current obtained from the one-dimensional model. Comparisons between stationary fluxon velocities obtained from the two models by means of numerical computations show that the difference is negligible. This supports the experimental observation that measurements are insensitive to the width of the junction. Journal of Applied Physics is copyrighted by The American Institute of Physics.

AB - A two-dimensional model of Josephson junction of overlap type is presented. The energy input is provided through induced magnetic fields modeled by a set of boundary conditions. In the limit of a very narrow junction, this model reduces to the one-dimensional model. Further, an equation derived for the critical current leads in this limit to the critical current obtained from the one-dimensional model. Comparisons between stationary fluxon velocities obtained from the two models by means of numerical computations show that the difference is negligible. This supports the experimental observation that measurements are insensitive to the width of the junction. Journal of Applied Physics is copyrighted by The American Institute of Physics.

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DO - 10.1063/1.335478

M3 - Journal article

SN - 0021-8979

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EP - 866

JO - Journal of Applied Physics

JF - Journal of Applied Physics

IS - 3

ER -

Comparison between one-dimensional and two-dimensional models for Josephson junctions of overlap type

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