Advertisement

Exact disorder solutions

  • Paul Ruján
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 226)

Abstract

In conclusion we have seen that sometimes quite simple mathematics may lead to a rich body of physical informations. I think that new interesting results can be obtained through different analytic continuation of these calculations. It would be also useful to use more sophisticated Ansatze as well as to consider the dynamic poperties of systems with competing interactions.

Keywords

Dimensionality Reduction Incommensurate Phase Anisotropic Scaling Multicritical Point Disorder Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. Darboux:Comptes rendus, 94, p. 1456 (1982).Google Scholar
  2. 2.
    E. Schrödinger: Proc.Roy.Irish Acad. A46, 9 /1940/Google Scholar
  3. 3.
    E. Gozzi: Phys.Lett. 129B, 432 /1983/Google Scholar
  4. 3a.
    M.N.Nieto: Los Alamos Preprint LA-UR-84-1457 /1984/ 4. E. Witten: Nucl. Phys. B185, 513 /1981/Google Scholar
  5. 4.
    E. Witten: Nucl. Phys. B185, 513 /1981/CrossRefGoogle Scholar
  6. 5.
    J. Stephenson: J.Math.Phys. 5, 1009 /1964/, ibid 7, 1123 /1966/; ibid 11 413, 420 /1970/; Can.J.Phys. 48, 2118 /1970/; Phys Rev. B1, 4405 /1970/CrossRefGoogle Scholar
  7. 6.
    M.B. Geilikman: Sov.Phys. JETP 39, 570 /1974/Google Scholar
  8. 6a.
    E. Fradkin and T.P. Eggarter, Phys.Rev. A14, 495 /1976/Google Scholar
  9. 6b.
    E. Barouch and B. McCoy, Phys.Rev A3, 786, /1971/Google Scholar
  10. 7.
    T.R. Welberry and R. Galbraith, J.Appl. Crystallogr. 6, 87 /1973/CrossRefGoogle Scholar
  11. 7a.
    ibid 8 636 /1982/CrossRefGoogle Scholar
  12. 8.
    I.G. Enting; J.Phys. C10, 1379, 1023 /1977/, ibid 11, 55, 2001 /1978/Google Scholar
  13. 9.
    A.M. Verhagen: J.Stat. Phys. 15, 219 /1976/CrossRefGoogle Scholar
  14. 10.
    I. Peschel and V.J. Emery: Z.Phys. B43, 241 /1981/CrossRefGoogle Scholar
  15. 11.
    P. Rujdn: J.Stat.Phys. 29, 231, 247 /1982/CrossRefGoogle Scholar
  16. 12.
    P. Ruján and A. Patkós: Phys.Lett. B129, 437, /1983/Google Scholar
  17. 13.
    P. Rujän: J.Stat.Phys. 34, 615 /1984/CrossRefGoogle Scholar
  18. 14.
    For a review see S. Wolfram: Rev.Mod.Phys. 55, 601 /1983/Google Scholar
  19. 15.
    E. Domany and W. Kinzel: Phys.Rev.Lett. 53, 311 /1984/CrossRefGoogle Scholar
  20. 16.
    E. Domany: Phys.Rev. Lett. 52, 871 /1984/CrossRefGoogle Scholar
  21. 17.
    D. Dhar: Phys.Rev. Lett. 49, 959 /1982/, ibid 51, 853 /1983/CrossRefGoogle Scholar
  22. 18.
    Yu. G. Stroganov; Phys.Lett. A74, 116 /1979/Google Scholar
  23. 18a.
    R.J. Baxter; J. Stat. Phys. 28, 1 /1982/CrossRefGoogle Scholar
  24. 19.
    M.T. Jaekel and J.M. Maillard: J.Phys. A17 2079 /1984/Google Scholar
  25. 20.
    P. Grassberger, F. Krause and T. von der Twer: J.Phys. A17 L 105 /1984/Google Scholar
  26. 21.
    D. Huse and M.E. Fisher: Phys.Rev.Lett. 49, 793 /1982/; Phys.Rev. B29, 239 /1984/CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Paul Ruján
    • 1
  1. 1.Institute für Festkörperforschung der KFA, Jülich and Institute for Theoretical PhysicsEötvös UniversityBudapest

Personalised recommendations