Skip to main content

Metastability and Landau Theory for Random Fields and Demixing in Porous Media

  • Chapter
Scaling Phenomena in Disordered Systems

Abstract

In recent years there was a big increase in experiments on physical systems that are realizations of random fields. Just to name a few these include diluted antiferromagnets in a magnetic field, charge density waves pinned by impurities, hydrogen in binary metallic alloys and quite recently also binary liquid mixtures in gels. In all these systems there are annealed degrees of freedom (spin like) and a source of quenched disorder (impurities, random structure, etc) that effectively creates a random field which is coupled to the order parameter. In this article we will concentrate on random field systems where the order parameter is a scalar and the random field is coupled linearly to it (i.e. the random field Ising model — RFIM).

Laboratoire rattaché au C.N.R.S.: U.A. 792

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. For a review see: G. Ginstein and S.-K. Ma, Phys. Rev. B 28, 2588 (1983).

    Article  Google Scholar 

  2. Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1975).

    Article  Google Scholar 

  3. G. Grinstein and S.-k. Ma, Phys. Rev. Lett. 49, 685 (1982);

    Article  Google Scholar 

  4. J. Villain, J. Phys. (Paris), Lett. 43, L-551 (1982);

    Article  Google Scholar 

  5. K. Binder, Z.Phys. 50, 343 (1983);

    Article  Google Scholar 

  6. D.S. Fisher, J. Fröhlich, and T. Spencer, J. Stat. Phys. 34, 863 (1984).

    Article  Google Scholar 

  7. J.F. Fernandez, G. Grinstein, Y. Imry, and S. Kirkpatrick, Phys.Rev. Lett. 51, 203 (1983);

    Article  Google Scholar 

  8. D. Andelman, H. Orland, and L.C.R. Wijewardhana, Phys. Rev. Lett. 52, 145 (1984);

    Article  Google Scholar 

  9. D. Stauffer, C. Hartzstein, K. Binder, and A. Aharony, Z. Phys. B 55, 352 (1984).

    Article  Google Scholar 

  10. J.Z. Imbrie, Phys. Rev. Lett. 53, 1747 (1984).

    Article  Google Scholar 

  11. M. Hagen, R.A. Cowley, S.K. Satija, H. Yoshizawa, G. Shirane, R.J. Birgeneau, and H.J. Guggenheim, Phys. Rev. B 28, 2602 (1983);

    Article  Google Scholar 

  12. D. Belanger, A.R. King, and V. Jaccarino, Phys. Rev. Lett. 48, 1050 (1982).

    Article  Google Scholar 

  13. J. Villain, Phys. Rev. Lett. 52, 1543 (1984).

    Article  Google Scholar 

  14. G. Grinstein and J.F. Fernandez, Phys. Rev. B 29, 6389 (1984);

    Article  Google Scholar 

  15. R. Bruinsma and G. Aeppli, Phys. Rev. Lett. 52, 1547 (1984).

    Article  Google Scholar 

  16. J.V. Maher, W.I. Goldburg, D.W. Pohl, and M. Lanz, Phys. Rev. Lett. 53, 60 (1984)

    Article  Google Scholar 

  17. R.J. Birgeneau, R.A. Cowley, G. Shirane, and H. Yoshizawa, preprint.

    Google Scholar 

  18. H. Yoshizawa and D.P. Belanger, Phys. Rev. B 30, 5220 (1984);

    Article  Google Scholar 

  19. C. Ro, G.S. Grest, C.M. Soukoulis, and K. Levin, Phys. Rev. B 31, 1682 (1985).

    Article  Google Scholar 

  20. P.G. de Gennes, J. Phys. Chem. 88, 6469 (1985).

    Article  Google Scholar 

  21. D. Andelman and J.F. Joanny, Collège de France, preprint, 1985.

    Google Scholar 

  22. D. Andelman and J.F. Joanny, “Proceeding of Les Houches Conference on Physics of Finely Divided Matter, 1985”.

    Google Scholar 

  23. T. Schneider and E. Pytte, Phys. Rev. B 15, 1519 (1977);

    Article  Google Scholar 

  24. A. Aharony, Phys. Rev. B 18, 3318 (1978).

    Article  Google Scholar 

  25. D. Andelman and J.F. Joanny, to be published.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media New York

About this chapter

Cite this chapter

Andelman, D., Joanny, JF. (1991). Metastability and Landau Theory for Random Fields and Demixing in Porous Media. In: Pynn, R., Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1402-9_13

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-1402-9_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1404-3

  • Online ISBN: 978-1-4757-1402-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics