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AIP Advances 2, 012125 (2012); http://dx.doi.org/10.1063/1.3681281 (7 pages)

Determination of critical current density from arbitrary flux relaxation process

Rongchao Ma

Department of Physics, University of Alberta, Edmonton, Alberta T6G 2G7, Canada

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(Received 15 December 2011; accepted 6 January 2012; published online 19 January 2012)

The current-carrying ability of a type-II superconductor is generally represented by its critical current density. This can be determined by measuring a flux relaxation process starting with a testing current density that is greater than or equal to the critical value. Here we show that a flux relaxation process starting with an intermediate current density can be converted into a process starting with the critical current density by introducing a virtual time interval. Therefore, one may calculate the critical current density from the flux relaxation process starting with a current density below the critical value. The exact solutions of the time dependence of current density in the flux relaxation process were also discussed.

© 2012 Author(s). This article is distributed under a Creative Commons Attribution 3.0 Unported License.

Article Outline

  1. INTRODUCTION
  2. TIME DEPENDENCE OF ACTIVATION ENERGY
  3. TIME DEPENDENCE OF CURRENT DENSITY
    1. Inverse-power activation energy
    2. Logarithmic activation energy
  4. EXACT SOLUTIONS OF THE TIME DEPENDENCE OF CURRENT DENSITY
    1. Linear activation energy
    2. Logarithmic activation energy
  5. DISCUSSION
  6. CONCLUSION

KEYWORDS and PACS

PACS

  • 74.25.Sv

    Critical currents

  • 74.70.-b

    Superconducting materials other than cuprates

ARTICLE DATA

PUBLICATION DATA

ISSN

2158-3226 (online)

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Figures (click on thumbnails to view enlargements)

FIG.1
(Color online) Time dependence of current density. The scattering points are the persistent current density induced in a Bi2Sr2CaCu2O8+x single crystal at 26 K. The solid black lines are the theoretical fits. (a) Fitted with the inverse-power model (Eq.( 8 )). jc = (1.22 ± 0.01) × 108A/m2, μ = (0.12 ± 0.01), U0 = (79.8 ± 0.1)k, ti = (0.81 ± 0.01) s, τ = (1.20 ± 0.01) s. (b) Fitted with the logarithmic model (Eq.( 12 )). jc = (1.20 ± 0.00) × 108A/m2, U0 = (92.2 ± 0.1)k, ti = (0.79 ± 0.01) s, τ = (1.03 ± 0.01) s.

FIG.1 Download High Resolution Image (.zip file) | Export Figure to PowerPoint





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