Skip to main content

Negative Temperatures in Type-II Superconductors

  • Chapter
Quantum Statistical Mechanics in the Natural Sciences

Part of the book series: Studies in the Natural Sciences ((SNS,volume 4))

  • 149 Accesses

Abstract

The possibility of attaining negative temperatures demonstrated by Onsager for ensembles of vortices in a two-dimensional fluid, is investigated for current vortices in a two-dimensional Type-II superconductor. As in the fluid, their phase space is finite, corresponding to classical equations of motion which are of first order in the time. Clustering of vortices of the same sign, which might be indicative of negative temperature has been reported for various materials but explained differently. No observation is known of the characteristic precession of nearby pairs. It is not yet clear how a negative-temperature instability, if one exists, could be exploited as a negative resistance.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

  1. L. Onsager, Suppl. Nuovo Cimento 6, 279 (1949).

    Article  Google Scholar 

  2. In a hamiltonian formalism, the x and y coordinates are canonically conjugate variables. See, for example, K. Friedrichs, Special Topics in Fluid Dynamics (Gordon and Breach, 1966 ), p. 124.

    Google Scholar 

  3. D. Montgomery, Physics Letters 39A, 7 (1972).

    Google Scholar 

  4. J. B. Taylor, Physics Letters 40A, 1 (1972).

    Google Scholar 

  5. Norman F. Ramsey, Physical Review 103, 20 (1956).

    Article  Google Scholar 

  6. See, for example, P. G. DeGennes, Superconductivity of Metals and Alloys (Benjamin, 1966).

    Google Scholar 

  7. Reference 6, page 80.

    Google Scholar 

  8. Apparently no observations of fluxoids having more than one quantum of flux φ0 = hc/2e have been reported.

    Google Scholar 

  9. See, for example, Reference 6, page 49.

    Google Scholar 

  10. U. Essmann, Physics Letters 41A, 477 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Stephan L. Mintz Susan M. Widmayer

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Plenum Press, New York

About this chapter

Cite this chapter

Machlup, S. (1974). Negative Temperatures in Type-II Superconductors. In: Mintz, S.L., Widmayer, S.M. (eds) Quantum Statistical Mechanics in the Natural Sciences. Studies in the Natural Sciences, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-4532-9_22

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-4532-9_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-4534-3

  • Online ISBN: 978-1-4613-4532-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics