Skip to main content

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 31))

Abstract

Spin glasses are disordered magnetic materials with unusual magnetic properties. The complicated structure of the phase space, especially the existence of infinitely many metastable states, leads to long time relaxational processes. Important experiments and models are briefly outlined. Analytical and numerical results for a mean-field-model of spin glasses are discussed. This model has the interesting property to learn and process information, hence it has recently been suggested that it may be a simple model for neural networks.

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. R. Zallen: The Physics of Amorphous Solids (J. Wiley, N.Y. 1983)

    Book  Google Scholar 

  2. For a review see: K.H. Fischer: phys.stat.sol. (b) 116, 357 (1983);

    Article  ADS  Google Scholar 

  3. K.H. Fischer phys. stat.sol. (b) 130, xxx (1985); a short outline of recent results may be found in

    Google Scholar 

  4. W. Kinzel: Lecture Notes in Physics 206, 113 (1984)

    Article  ADS  Google Scholar 

  5. S.F. Edwards and P.W. Anderson: J. Phys. F 5, 968 (1975)

    ADS  Google Scholar 

  6. J.J. Hopfield: Proc. Natl. Acad. Science USA 79, 2554 (1982)

    Article  MathSciNet  ADS  Google Scholar 

  7. S. Kirkpatrick, C.D. Gelatt, and M.P. Vecchi: Science 220, 671 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. G. Toulouse: Comm. Phys. 2, 155 (1977)

    Google Scholar 

  9. K. Binder and K. Schröder: Phys. Rev. B 14, 2142 (1976)

    Article  ADS  Google Scholar 

  10. W. Kinzel: Phys. Rev. B 19, 4595 (1979)

    Article  ADS  Google Scholar 

  11. W. Kinzel and K. Binder: Phys. Rev. Lett. 50, 1509 (1983);

    Article  ADS  Google Scholar 

  12. W. Kinzel and K. Binder Phys. Rev. B 29, 1300 (1984)

    Article  ADS  Google Scholar 

  13. I. Morgenstern and K. Binder: Phys. Rev. Lett. 43, 1615 (1979);

    Article  ADS  Google Scholar 

  14. I. Morgenstern and K. Binder Phys. Rev. B 22, 288 (1980)

    Article  ADS  Google Scholar 

  15. K. Binder and A.P. Young: Phys. Rev. B 29, 2864 (1984)

    Article  ADS  Google Scholar 

  16. Recent contributions to this question are: Ref. 11; N. Bontemps et al: Phys. Rev. B 30, 6514 (1984);

    Article  ADS  Google Scholar 

  17. A.T. Ogielski and I. Morgenstern: Phys. Rev. Lett. 54, 9238 (1985);

    Article  Google Scholar 

  18. R. Bhatt and A.P. Young: Phys. Rev. Lett. 54, 924 (1985)

    Article  ADS  Google Scholar 

  19. C.P. Bachas: J. Phys. A 17, L709 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  20. D. Sherrington and S. Kirkpatrick: Phys. Rev. Lett. 35, 1792 (1975)

    Article  ADS  Google Scholar 

  21. G. Parisi: Phys. Rev. Lett. 43, 1754 (1979);

    Article  ADS  Google Scholar 

  22. G. Parisi: Phys. Rev. Lett. 50, 1946 (1983)

    Google Scholar 

  23. M. Mezard, G. Parisi, N. Sourlas, G. Toulouse, and M. Virasoro: Phys. Rev. Lett. 52, 1156 (1984)

    Article  ADS  Google Scholar 

  24. M. Mezard and M.A. Virasoro: to be published

    Google Scholar 

  25. S. Kirkpatrick and G. Toulouse: to be published

    Google Scholar 

  26. B.A. Huberman and M. Kerszberg: J. Phys. A 18, L331 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  27. W. Kinzel: to be published

    Google Scholar 

  28. I thank M. Kerszberg for bringing this fact to my attention

    Google Scholar 

  29. D.J. Amit, H. Gutfreund, and H. Sompolinsky: to be published; P. Peretto: Biol. Cybern. 50, 51 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kinzel, W. (1985). Spin Glasses as Model Systems for Neural Networks. In: Haken, H. (eds) Complex Systems — Operational Approaches in Neurobiology, Physics, and Computers. Springer Series in Synergetics, vol 31. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70795-7_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-70795-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-70797-1

  • Online ISBN: 978-3-642-70795-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics