Skip to main content

Defects in Condensed Matter

  • Chapter
  • First Online:
Defect Evolution in Cosmology and Condensed Matter

Part of the book series: SpringerBriefs in Physics ((SpringerBriefs in Physics))

  • 392 Accesses

Abstract

We discuss friction-dominated vortex-string evolution using the VOS model. We explicitly demonstrate the relation between the high-energy physics approach and the damped and non-relativistic limits which are relevant for condensed matter physics. We also reproduce experimental results in this context and show that the vortex-string density is significantly reduced by loop production, an effect not included in the usual ‘coarse-grained’ approach.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
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

References

  1. D. Mermin, Rev. Mod. Phys. 51, 591 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  2. I. Chuang et al., Science 251, 1336 (1991)

    Article  ADS  Google Scholar 

  3. M. Bowick et al., Science 263, 947 (1994)

    Article  ADS  Google Scholar 

  4. M. Salomaa, G. Volovik, Rev. Mod. Phys. 59, 533 (1987); U. Parts et al., Phys. Rev. Lett. 75, 3320 (1995)

    Google Scholar 

  5. W.H. Zurek, Nature 317, 505 (1985); P.C. Hendry et al., Nature 368, 315 (1994)

    Google Scholar 

  6. A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957)

    Google Scholar 

  7. A. Vilenkin, E.P.S. Shellard, Cosmic Strings and other Topological Defects (Cambridge University Press, Cambridge, 1994)

    Google Scholar 

  8. T.W.B. Kibble, J. Mod. Phys. A9, 1387 (1976)

    ADS  Google Scholar 

  9. M. Hindmarsh, A.-C. Davis, R.H. Brandenberger, Phys. Rev. D49, 1944 (1994); R.H. Brandenberger, A.-C. Davis, Phys. Lett. B332, 305 (1994)

    Google Scholar 

  10. A.J. Bray, Adv. Phys. 43, 357 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  11. C.J.A.P. Martins, E.P.S. Shellard, Phys. Rev. D 53, 575 (1996)

    Article  ADS  Google Scholar 

  12. C.J.A.P. Martins, E.P.S. Shellard, Phys. Rev. D 54, 2535 (1996)

    Article  ADS  Google Scholar 

  13. C.J.A.P. Martins, E.P.S. Shellard, Phys. Rev. B 56, 10892 (1997)

    Article  ADS  Google Scholar 

  14. C.J.A.P. Martins, J.N. Moore, E.P.S. Shellard, Phys. Rev. Lett. 92, 251601 (2004)

    Article  ADS  Google Scholar 

  15. A. Vilenkin, Phys. Rev. D43, 1060 (1991)

    ADS  MathSciNet  Google Scholar 

  16. R. Rohm, Ph.D. thesis, Princeton University (1985); P. de Sousa Gerbert, R. Jackiw, Commun. Math. Phys. 124, 229 (1988); M.G. Alford, F. Wilczek, Phys. Rev. Lett. 62, 1071 (1989)

    Google Scholar 

  17. A.E. Everett, Phys. Rev. D24, 858 (1981); W.B. Perkins et al., Nucl. Phys. B353, 237 (1991)

    Google Scholar 

  18. K.W. Schwarz, Phys. Rev. B38, 2398 (1988)

    Article  ADS  Google Scholar 

  19. R.L. Davis, E.P.S. Shellard, Phys. Rev. Lett. 63, 2021 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  20. T.W.B. Kibble, Nucl. Phys. B 252 227 (1985); Erratum: (Nucl. Phys. B 261, 750 (1985))

    Google Scholar 

  21. I.M. Lifshitz, Zh. Eksp, Teor. Fiz. 42, 1354 (1962); S.M. Allen, J.W. Cahn, Acta Metall. 27, 1085 (1979)

    Google Scholar 

  22. R.E. Blundell, A.J. Bray, Phys. Rev. E49, 4925 (1994); M. Mondello, N. Goldenfeld, Phys. Rev. A45, 657 (1992); H. Toyoki. J. Phys. Soc. Jpn. 60, 1433 (1991)

    Google Scholar 

  23. A.J. Bray, A.D. Rutenberg, Phys. Rev. E49, R27 (1994)

    Google Scholar 

  24. J.N. Moore, E.P.S. Shellard, C.J.A.P. Martins, Phys. Rev. D 65, 023503 (2002)

    Article  ADS  Google Scholar 

  25. M. Yamaguchi, Phys. Rev. D60, 103511 (1999); M. Yamaguchi, J. Yokoyama, M. Kawasaki, Phys. Rev. D61, 061301 (2000)

    Google Scholar 

  26. D.P. Bennett, F.R. Bouchet, Phys. Rev. D 41, 2408 (1990)

    Article  ADS  Google Scholar 

  27. B. Allen, E.P.S. Shellard, Phys. Rev. Lett. 64, 119 (1990)

    Article  ADS  Google Scholar 

  28. C.J.A.P. Martins, E.P.S. Shellard, Phys. Rev. D 73, 043515 (2006)

    Article  ADS  Google Scholar 

  29. C.J.A.P. Martins, I.Y. Rybak, A. Avgoustidis, E.P.S. Shellard, Phys. Rev. D 93, 043534 (2016)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. J. A. P. Martins .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Author(s)

About this chapter

Cite this chapter

Martins, C.J.A.P. (2016). Defects in Condensed Matter. In: Defect Evolution in Cosmology and Condensed Matter. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-44553-3_6

Download citation

Publish with us

Policies and ethics