Skip to main content
SpringerLink
Log in

Motion of Magnetic Flux Structures

  • Chapter
Nonequilibrium Superconductivity, Phonons, and Kapitza Boundaries

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 65))

Abstract

The Abrikosov lattice of flux lines in the mixed state of a type-II superconductor and the flux-containing domains in the intermediate state of a type-I superconductor represent spatially inhomogeneous states of the material. The more or less localized normal and superconducting regions may be looked at as “particles”, with a complementary character (such as electrons and holes). These “particles” are subjected to the laws of non-equilibrium thermodynamics, i.e., to the concepts of flows and generalized forces, valid in the linear range of the thermodynamics of irreversible processes (Nicolis and Prigogine, 1977). The forces we have to deal with here are those arising from an applied electric current (note that an electric field can usually not be sustained in a superconductor) or temperature gradient, resulting in the flow of the magnetic flux structure (our “particles”) and in the flow of heat.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Alden, T. H. and Livingston, J. D., 1966, Ferromagnetic particles in a type-II superconductor, J. Appl. Phys., 37:3551.

    Article  ADS  Google Scholar 

  • Aslamazov, L. G. and Larkin, A. I., 1975, Josephson effect in wide superconducting bridges, Zh. Eksp. Teor. Fiz. 68, 766, Sov. Phys. JETP, 41:38l.

    Google Scholar 

  • Bardeen, J., 1978, Motion of flux lines in nearly pure superconductors, Phys. Rev. B, 17:1472.

    Article  ADS  Google Scholar 

  • Bardeen, J. and Sherman, R. D., 1975, Flux flow in nearly pure low-κ superconductors, Phys. Rev. B, 12:2634.

    Article  ADS  Google Scholar 

  • Bardeen, J. and Stephen, M. J., 1965, Theory of the motion of vortices in superconductors, Phys. Rev. A, 140:1197.

    ADS  Google Scholar 

  • Brandt, E. H., 1980, Flux flow and pinning, to be published.

    Google Scholar 

  • Buck, W. and Selig, K. P. and Parisi, J., 1980, Model calculations of flux-tube nucleation in thin-film type-I superconductors, to be published.

    Google Scholar 

  • Campbell, A. M. and Evetts, J. E., 1972, Flux vortices and transport currents in type-II superconductors, Adv. in Phys., 21:199.

    Article  ADS  Google Scholar 

  • Chandrasekhar, B. S., 1962, A note on the maximum critical field of high-field superconductors, Appl. Phys. Lett., 1:7.

    Article  ADS  Google Scholar 

  • Chimenti, D. E. and Clem, J. R., 1978, Current-indueed flux motion in type-I superconducting films studied at 100-ns time resolution, Phil. Mag. B, 38:635.

    Article  Google Scholar 

  • Chimenti, D. E. and Huebener, R. P., 1977, Stroboscopic study of flux dynamics in superconductors during current-induced breakdown, Solid State Commun., 21:467.

    Article  ADS  Google Scholar 

  • Clem, J. R., 1970, Theory of flux-flow noise voltage in superconductors, Phys. Rev. B, 1:2140.

    Article  ADS  Google Scholar 

  • Clem, J. R., 1974, Theory of magnetically coupled type-II superconducting films, Phys. Rev. B, 9:898.

    Article  ADS  Google Scholar 

  • Clem, J. R., 1975, Theory of the coupling force in magnetically coupled type-II superconducting films, Phys. Rev. B, 12:1742.

    Article  ADS  Google Scholar 

  • Clem, J. R., Huebener, R. P. and Gallus, D. E., 1973, Gibbs free-energy barrier against irreversible magnetic flux entry into a superconductor, J. Low Temp. Phys., 12:449.

    Article  ADS  Google Scholar 

  • Clogston, A. M., 1962, Upper limit for the critical field in hard superconductors, Phys. Rev. Lett., 9:266.

    Article  ADS  Google Scholar 

  • Cyrot, M., 1973, Ginzburg-Landau theory for superconductors, Rep. Prog. Phys., 36:103.

    Article  ADS  Google Scholar 

  • Ekin, J. W. and Clem, J. R., 1975, Magnetic coupling force of the superconducting dc transformer, Phys. Rev. B, 12:1753.

    Article  ADS  Google Scholar 

  • Ekin, J. W., Serin, B. and Clem, J. R., 1974 Magnetic coupling in superposed type-II superconducting films, Phys. Rev. B, 9:912.

    Article  ADS  Google Scholar 

  • Giaever, I., 1965, Magnetic coupling between two adjacent type-II superconductors, Phys. Rev. Lett., 15:825.

    Article  ADS  Google Scholar 

  • Giaever, I., 1966, Flux pinning and flux-flow resistivity in magnetically coupled superconducting films, Phys. Rev. Lett., 16:460.

    Article  ADS  Google Scholar 

  • Good, J. A. and Kramer, E. J., 1970, Deformation-induced anisotropy of the critical current in single crystal niobium, Phil. Mag., 22:329.

    Article  ADS  Google Scholar 

  • Gor’kov, L. P. and Eliashberg, G. M., 1968, Generalization of the Ginzburg-Landau equations for non-stationary problems in the case of alloys with paramagnetic impurities, Zh. Eksp. Teor. Fiz., 54, 612, Sov. Phys. JETP, 27:328.

    ADS  Google Scholar 

  • Haenssler, F. and Rinderer, L., 1967, Statique et dynamique de l’état intermédiaire des supraconducteurs du type I, Helv. Phys. Acta, 40:659.

    Google Scholar 

  • Hagmann, P., Meier-Hirmer, R. and Winter, H., 1977, Strong coupling effects in the temperature dependence of the flux-flow resistance near Hc2, Z. Physik B, 26:233.

    Article  Google Scholar 

  • Van Hove, L., 1954a, Correlations in space and time and born approximation scattering in systems of interacting particles, Phys. Rev., 95:249.

    Article  ADS  MATH  Google Scholar 

  • Van Hove, L., 1954b, Time-dependent correlations between spins and neutron scattering in ferromagnetic crystals, Phys. Rev., 95:1374.

    Article  ADS  MATH  Google Scholar 

  • Huebener, R. P., 1972, Thermoelectricity in metals and alloys in: “Solid State Physics,” Vol. 27, H. Ehrenreich, F. Seitz and D. Turnbull, eds., Academic Press, New York.

    Google Scholar 

  • Huebener, R. P., 1974, Dynamics of magnetic flux structures in superconductors, Phys. Reports, 13:143.

    Article  ADS  Google Scholar 

  • Huebener, R. P., 1979, “Magnetic Flux Structures in Superconductors,” Springer Verlag, Berlin.

    Google Scholar 

  • Huebener, R. P. and Gallus, D. E., 1973, Current-induced intermediate state in thin-film type-I superconductors: electrical resistance and noise, Phys. Rev. B, 7:4089.

    Article  ADS  Google Scholar 

  • Huebener, R. P. and Kampwirth, R. T., 1972, Magneto-optical studies of superconductors at high transport current densities in: “Proc. 1972 Appl. Supercond. Conf.,” H. M. Long and W. F. Gauser, eds., IEEE, New York, p. 422.

    Google Scholar 

  • Huebener, R. P. and Seher, A., 1969, Nernst effect and flux flow in superconductors. II. Lead films, Phys. Rev., 181:710.

    Article  ADS  Google Scholar 

  • Hurm, V., Selig, K. P. and Huebener, R. P., 1979, Fluctuations in the flux nucleation process of the current-induced resistive state in type-I superconductors, Z Physik B, 32:175.

    Article  ADS  Google Scholar 

  • Imai, S., 1975. Fluctuation conductivity and vortex flow resistivity of a dirty strong-coupling superconductor, Prog. Theor. Phys. (Japan) 54:624.

    Article  ADS  Google Scholar 

  • Josephson, B. D., 1962, Possible new effects in superconductive tunnelling, Phys. Lett., 1:251.

    Article  ADS  MATH  Google Scholar 

  • Kim, Y. B. and Stephen, M. J., 1969, Flux flow and irreversible effects in: “Superconductivity,” R. D. Parks, ed., Marcel Dekker, New York, p. 1107.

    Google Scholar 

  • Kirchner, H., 1971, Ein hochauflösendes magnetooptisches verfahren zur Untersuchung der kinematik magnetischer strukturen in Supraleitern, Phys. Stat. Sol. (a), 4:531.

    Article  ADS  Google Scholar 

  • König, B. and Kirchner, H., 1975, Magnetooptische beobachtungen und elektrische messungen an stromdurchflossenen, supraleitenden bleischichten im zwischenzustand, Phys. Stat. Sol. (a), 28:467.

    Article  ADS  Google Scholar 

  • Kopnin, N. B. and Kravtsov, V. E., 1976, Conductivity and Hall effect of pure type-II superconductors at low temperatures, Pis’ma Zh. Eksp. Teor. Fiz., 23, 631, JETP Letters, 23:578.

    ADS  Google Scholar 

  • Larkin, A. I. and Ovchinnikov, Yu. N., 1976, Viscosity of vortices in pure superconductors, Pis’ma Zh. Eksp. Teor. Fiz., 23, 210, JETP Letters, 23:187.

    ADS  Google Scholar 

  • Larkin, A. I. and Ovchinnikov, Yu. N., 1977, Nonlinear effects during the motion of vortices in superconductors, Zh. Eksp. Teor. Fiz., 73, 299, Sov. Phys. JETP, 46:155.

    ADS  Google Scholar 

  • Larkin, A. I. and Ovchinnikov, Yu. N., 1979, Pinning in type II superconductors, J. Low Temp. Phys., 34:409.

    Article  ADS  Google Scholar 

  • Likharev, K. K., 1972. Vortex motion and the Josephson effect in superconducting thin bridges, Zh. Eksp. Teor. Fiz., 61, 1700, Sov. Phys. JETP, 34:906.

    ADS  Google Scholar 

  • Lowell, J., 1970, The frictional force on a moving fluxon, J. Physics C: Solid State Phys., 3:712.

    Article  ADS  Google Scholar 

  • Maki, K., 1964, The magnetic properties of superconducting alloys. II, Physics, 1:127

    Google Scholar 

  • Morrison, D. D. and Rose, R. M., 1970, Controlled pinning in superconducting foils by surface microgrooves, Phys. Rev. Lett., 25:356.

    Article  ADS  Google Scholar 

  • Nicolis, G. and Prigogine, I., 1977, “Self-Organization in Non-equilibrium Systems,” John Wiley, New York.

    Google Scholar 

  • Schmid, A., 1966, A time dependent Ginzburg-Landau equation and its application to the problem of resistivity in the mixed state, Phys. Kond. Materie, 5:302.

    Article  ADS  Google Scholar 

  • Selig, K. P., 1980, Flux-tube motion in the current-induced resistive state of superconductors, Thesis, University of Tubingen (unpublished).

    Google Scholar 

  • Selig, K. P., Chimenti, D. E. and Huebener, R. P., 1978, Passive measurement of flux nucleation in the current-induced resistive state of type I superconductors, Z. Physik B, 29:33.

    Article  ADS  Google Scholar 

  • Selig, K. P. and Huebener, R. P., 1980, Flux nucleation in the current-induced resistive state of a constricted type-I superconductor, to be published.

    Google Scholar 

  • Shoenberg, D., 1952, “Superconductivity,” Cambridge University Press, Cambridge.

    MATH  Google Scholar 

  • Swartz, P. S. and Hart, H. R., 1965, Surface effects in the mixed superconducting state, Phys. Rev., 137A:8l8.

    Google Scholar 

  • Ullmaier, H., 1975, Irreversible properties of type-II superconductors, “Springer Tracts in Modern Physics,” Vol. 76, Springer Verlag, Berlin.

    Book  Google Scholar 

  • Usui, N., Ogasawara, T., Yusukochi, K. and Tomoda, S., 1969, Magnetization, flux flow resistance and Hall effect in superconducting vanadium, J. Phys. Soc., Japan, 27:574.

    Article  ADS  Google Scholar 

  • Van Vijfeijken, A. G., 1968, On the theory of vortices in type-II superconductors, Philips Res. Rep. Suppl., 8:1.

    Google Scholar 

  • Yamafuji, K. and Irie, F., 1967, On the concept of pinning force in type II superconductors, Phys. Lett., 25A:387.

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physikalisches Institut II, University of Tübingen, 7400, Tübingen, Germany

    R. P. Huebener

Authors
  1. R. P. Huebener
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Argonne National Laboratory, US Department of Energy, Argonne, Illinois, USA

    Kenneth E. Gray

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Plenum Press, New York

About this chapter

Cite this chapter

Huebener, R.P. (1981). Motion of Magnetic Flux Structures. In: Gray, K.E. (eds) Nonequilibrium Superconductivity, Phonons, and Kapitza Boundaries. NATO Advanced Study Institutes Series, vol 65. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3935-9_20

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-3935-9_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3937-3

  • Online ISBN: 978-1-4684-3935-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation