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Time-Dependent Theories

  • Rudolf Peter Huebener
Part of the Springer Series in SOLID-STATE SCIENCES book series (SSSOL, volume 6)

Abstract

Following the discovery of flux flow as a dissipative phenomenon in type-II superconductors, a number of phenomenological theories were proposed for treating this subject, namely by BARDEEN and STEPHEN [10.1], VAN VIJFEIJKEN [7.14–16], and NOZIERES and VINEN [10.2]. All three models assume a local superconductor and treat the core of a vortex line as being fully normal resulting in dissipation due to quasiparticle scattering by the lattice. The temperature is assumed to be much smaller than Tc such that the normal electrons outside the vortex core can be neglected. The transport current density is assumed to be small but uniform. More specific, the transport current density and the normal current densities generated by the flux motion are taken to be small compared to the supercurrent densities circulating around the vortex cores. This is equivalent to the criterion that
$$ {v_\varphi }\tau \ll {\xi _C} $$
(10.1)
meaning that the distance a vortex line moves in a relaxation time τ is small compared with the core radius ξC. Vortices are assumed to move freely without any influence of flux pinning.

Keywords

Vortex Core Vortex Line Normal Current Density Vortex Axis Core Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 10.1
    J. Bardeen, M.J. Stephen: Phys. Rev. 140, A1197 (1965)ADSCrossRefGoogle Scholar
  2. 10.2
    P. Nozières, W.F. Vinen: Philos. Mag. 14, 667 (1966)ADSCrossRefGoogle Scholar
  3. 10.3
    J. Bardeen, R.D. Sherman: Phys. Rev. B 12, 2634 (1975)ADSCrossRefGoogle Scholar
  4. 10.4
    A.I. Larkin, Yu.V. Ovchinnikov: Pis’ma Zh. Eksp. Teor. Fiz. 23, 210 (1976) [JETP Letters 23, 187 (1976)]Google Scholar
  5. 10.5
    N.B. Kopnin, V.E. Kravtsov: Pis’ma Zh. Eksp. Teor. Fiz. 23, 631 (1976) [JETP Letters 23, 578 (1976)]Google Scholar
  6. 10.6
    L.P. Gor’kov, G.M. Eliashberg: Zh. Eksp. Teor. Fiz. 54, 612 (1968) [Sov. Phys.-JETP 27, 328 (1968)]Google Scholar
  7. 10.7
    E. Abrahams, T. Tsuneto: Phys. Rev. 152, 416 (1966)ADSCrossRefGoogle Scholar
  8. 10.8
    A. Schmid: Phys. Kondens. Mater. 5, 302 (1966)ADSGoogle Scholar
  9. 10.9
    C. Caroli, K. Maki: Phys. Rev. 159, 306 (1967)ADSCrossRefGoogle Scholar
  10. 10.10
    C. Caroli, K. Maki: Phys. Rev. 159, 316 (1967)ADSCrossRefGoogle Scholar
  11. 10.11
    C. Caroli, K. Maki: Phys. Rev. 164, 591 (1967)ADSCrossRefGoogle Scholar
  12. 10.12
    K. Maki: J. Low Temp. Phys. 1, 45 (1969)ADSCrossRefGoogle Scholar
  13. 10.13
    K. Maki: Prog. Theor. Phys. (Jpn.) 41, 902 (1969)ADSCrossRefGoogle Scholar
  14. 10.14
    K. Maki: Proc. Intern. Conf. Science of Supercond., Stanford, 1969, ed. by F. Chilton (North-Holland, Amsterdam 1971) p.124Google Scholar
  15. 10.15
    R.S. Thompson: Phys. Rev. B 1, 327 (1970)ADSCrossRefGoogle Scholar
  16. 10.16
    H. Takayama, H. Ebisawa: Prog. Theor. Phys. (Jpn.) 44, 1450 (1970)ADSCrossRefGoogle Scholar
  17. 10.17
    H. Ebisawa: J. Low Temp. Phys. 9, 11 (1972)ADSCrossRefGoogle Scholar
  18. 10.18
    R.S. Thompson, C.-R. Hu: Phys. Rev. Lett. 27, 1352 (1971)ADSCrossRefGoogle Scholar
  19. 10.19
    R.S. Thompson, C.-R. Hu: Proc. 13th Intern. Conf. Low Temp. Phys., Boulder, Vol. 3, ed. by K.D. Timmerhaus, W.J. O’Sullivan, E.F. Hammel (Plenum Press, New York 1974) p.163Google Scholar
  20. 10.20
    C.-R. Hu, R.S. Thompson: Phys. Rev. B 6, 110 (1972)ADSCrossRefGoogle Scholar
  21. 10.21
    C.-R. Hu, R.S. Thompson: Phys. Rev. Lett. 31, 217 (1973)ADSCrossRefGoogle Scholar
  22. 10.22
    R.S. Thompson, C.-R. Hu, T.I. Smith: Phys. Rev. B 6, 2044 (1972)ADSCrossRefGoogle Scholar
  23. 10.23
    M. Cyrot: Rept. Progr. Phys. 36, 103 (1973)ADSCrossRefGoogle Scholar
  24. 10.24
    L.D. Landau, I.M. Khalatnikov: Dokl. Akad. Nauk SSSR 96, 469 (1954) [Engl. translation: Collected Papers of L.D. Landau, ed. by D. Ter Haar (Pergamon Press, Oxford) p. 626]MATHGoogle Scholar
  25. 10.25
    K. Maki: Physics 1, 21, 127 (1964)Google Scholar
  26. 10.26
    S. Imai: Prog. Theor. Phys. (Jpn.) 54, 624 (1975)ADSCrossRefGoogle Scholar
  27. 10.27
    P. Hagmann, R. Meier-Hirmer, H. Winter: Z. Phys. B 26, 233 (1977)ADSCrossRefGoogle Scholar
  28. 10.28
    Y. Muto, K. Mori, K. Noto: Proc. Intern. Conf. Science of Supercond., Stanford, 1969, ed. by F. Chilton (North-Holland, Amsterdam 1971) p.362Google Scholar
  29. 10.29
    C.J. Axt, W.C.H. Joiner: Phys. Rev. 171, 461 (1968)ADSCrossRefGoogle Scholar
  30. 10.30
    G.E. Kuhl, M.C. Ohmer: Phys. Rev. B 2, 1264 (1970)ADSCrossRefGoogle Scholar
  31. 10.31
    Y. Muto, K. Noto, M. Hongo, K. Mori: Phys. Lett. 30A, 480 (1969)ADSGoogle Scholar
  32. 10.32
    H. Ebisawa: Proc. Intern. Conf. Low Temp. Phys. — LT 13, Vol. 3 (1972), ed. by K.D. Timmerhaus, W.J. O’Sullivan, E.F. Hammel (Plenum Press, New York 1974) p.177Google Scholar
  33. 10.33
    A. Houghton, K. Maki: Phys. Rev. B 3, 1625 (1971)ADSCrossRefGoogle Scholar
  34. 10.34
    C.-R. Hu: Phys. Rev. B 13, 4780 (1976)ADSCrossRefGoogle Scholar
  35. 10.35
    C.-R. Hu: Phys. Rev. B 14, 4834 (1976)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Rudolf Peter Huebener
    • 1
  1. 1.Physikalisches InstitutLehrstuhl für Experimentalphysik IITübingenGermany

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