Journal of Low Temperature Physics

, Volume 159, Issue 3–4, pp 515–523 | Cite as

Kim Model of Transport ac Loss with Position Dependent Critical Current Density in a Superconducting Cylinder

Article

Abstract

In this article, the dependence of the transport ac loss on field and position is investigated for a hard superconducting cylinder, which is consisted of two concentric shells with different critical current density. The Kim model is considered for the critical state in which the critical current density is assumed to depend on the flux density. Based on Norris’ equations, the analytic expression of the loss with field and position dependence is derived for the cylindrical specimen having a composite geometry. The results obtained show that the field and position dependent critical current density have obvious effects on the loss, which may explain why Norris’ predictions and the theoretical results have small differences.

Keywords

Position dependent critical current density Transport ac loss Kim model Superconducting cylinder 

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References

  1. 1.
    N. Sekime, O. Tsukamoto, A. Utsunomiya, D. Miyagi, Physica C 426–431, 1284 (2005) CrossRefGoogle Scholar
  2. 2.
    D.V. Shantsev, Y.M. Galperin, T.H. Johansen, Phys. Rev. B 60, 13112 (1999) CrossRefADSGoogle Scholar
  3. 3.
    W.T. Norris, J. Phys. D 3, 489 (1970) CrossRefADSGoogle Scholar
  4. 4.
    Y. Yang, T. Hughes, C. Beduz, D.M. Spiller, R.G. Scurlock, W.T. Norris, Physica C 256, 378 (1996) CrossRefADSGoogle Scholar
  5. 5.
    C.M. Friend, S.A. Awan, L.L. Le, S. Sali, T.P. Beales, Physica C 279, 145 (1997) CrossRefADSGoogle Scholar
  6. 6.
    S. Stavrev, B. Dutoit, Physica C 310, 86 (1998) CrossRefADSGoogle Scholar
  7. 7.
    H. Eckelmann, M. Quilits, M. Oomen, W. Goldacker, Physica C 310, 122 (1998) CrossRefADSGoogle Scholar
  8. 8.
    D.-X. Chen, R.B. Goldfarb, J. Appl. Phys. 66, 2489 (1989) CrossRefADSGoogle Scholar
  9. 9.
    Y.F. Zhao, Y.H. Zhou, J. Low. Temp. Phys. 156, 30 (2009) CrossRefADSGoogle Scholar
  10. 10.
    D.-X. Chen, A. Sanchez, Z. Munoz, J. Appl. Phys. 67, 3430 (1990) CrossRefADSGoogle Scholar
  11. 11.
    F. Gomory, E. Seiler, J. Souc, P. Kovac et al., Supercond. Sci. Technol. 17, S150 (2004) CrossRefADSGoogle Scholar
  12. 12.
    O. Tsukamoto, Supercond. Sci. Technol. 18, 576 (2005) CrossRefADSGoogle Scholar
  13. 13.
    F. Gomory, J. Souc, M. Vojenciak, B. Klincok, Supercond. Sci. Technol. 20, S271 (2007) CrossRefADSGoogle Scholar
  14. 14.
    R. Inada, K. Tateyama, Y. Nakamura, A. Oota, L. Chengshan, P.X. Zhang, Supercond. Sci. Technol. 20, 138 (2007) CrossRefADSGoogle Scholar
  15. 15.
    Y.F. Zhao, S.R. Li, T.H. He, J. Supercond. Nov. Magn. (2010, in press). doi: 10.1007/s10948-009-0602-6
  16. 16.
    R. Inada, A. Oota, H. Fujimoto, Physica C 378, 1133 (2002) CrossRefADSGoogle Scholar
  17. 17.
    Y. Mawarari, K. Kajikawa, Appl. Phys. Lett. 88, 092503 (2006) CrossRefADSGoogle Scholar
  18. 18.
    Y.F. Zhao, Y.H. Zhou, Eur. Phys. J. B 61, 391 (2008) CrossRefADSGoogle Scholar
  19. 19.
    R. Inada, Y. Nakamura, A. Oota, Physica C 442, 139–144 (2006) CrossRefADSGoogle Scholar
  20. 20.
    Y. Mawarari, K. Kajikawa, Appl. Phys. Lett. 92, 012504 (2008) CrossRefADSGoogle Scholar
  21. 21.
    E. Pardo, A. Sanchez, D.- X Chen, C. Navau, Phys. Rev. B 71, 134517 (2005) CrossRefADSGoogle Scholar
  22. 22.
    P.X. Zhang, R. Inada, T. Yno, Y. Takatori, Supercond. Sci. Technol. 14, 6 (2001) CrossRefADSGoogle Scholar
  23. 23.
    H.D. Yong, Y.H. Zhou, J. Appl. Phys. 104, 043907 (2008) CrossRefADSGoogle Scholar
  24. 24.
    F. Gomory, L. Gherardi, Physica C 280, 151 (1997) CrossRefADSGoogle Scholar
  25. 25.
    D.-X. Chen, A. Sanchez, E. Pardo, Supercond. Sci. Technol. 17, 256 (2004) CrossRefADSGoogle Scholar
  26. 26.
    J. McDonald, J.R. Clem, Phys. Rev. B 53, 8643 (1996) CrossRefADSGoogle Scholar
  27. 27.
    K. Kajikawa, Y. Mawatari, T. Hayashi, K. Funaki, Supercond. Sci. Technol. 17, 555 (2004) CrossRefADSGoogle Scholar
  28. 28.
    K. Kajikawa, T. Hayashi, D. Nakamura, K. Funaki, Physica C 426–431, 1295 (2005) CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.School of ScienceLanzhou University of TechnologyLanzhouPeople’s Republic of China

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