Skip to main content

Competitive interactions and 2-D structures at finite temperatures

  • Part IV: Two-Dimensional Structures
  • Conference paper
  • First Online:
Book cover Nonlinear Coherent Structures in Physics and Biology

Part of the book series: Lecture Notes in Physics ((LNP,volume 393))

  • 173 Accesses

Abstract

The phase diagram of a triangular lattice with competitive interactions is obtained at finite temperatures. At high temperatures the existence of an incomplete Devil's staircase points to the existence of incommensurate states near the disorder line. 1-d domain walls and large periodicity 2-d domains are discussed.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.M. Yeomans 1988 in “Solid State Physics” Vol 41, eds H. Ehrenreich and D. Turnbull (Academic Press, London) P. 151

    Google Scholar 

  2. P. Bak, D. Mukamel, J. Villain and K. Wentowska 1979 Phys. Rev B 19 1710

    Google Scholar 

  3. P. Fisher, B. Lebech, G. Meier, B.D. Rainford and O. Vogt 1978 J. Phys. C 11 345

    Google Scholar 

  4. F. Axel and S. Aubry 1981 J. Phys. C 14 5433

    Google Scholar 

  5. M.E. Fisher and W. Selke 1980 Phys. Rev. Lett. 44 1502

    Article  Google Scholar 

  6. D.A. Huse 1981 Phys. Rev B 24 5180

    Article  Google Scholar 

  7. Y. Frenkel and T. Kontorova 1938 Zh. Eksp. Theor. Phys. 8 89 1340

    Google Scholar 

  8. F.Y. Frank and J.H. van der Merwe 1949 Proc. R. Soc. A 198 205

    Google Scholar 

  9. J. Kanamori and M. Okamoto 1985 J. Phys. Soc. Japan 54 4636

    Google Scholar 

  10. C.R. Fuselier, N.S. Gillis and J.C. Raich 1978 Solid. St. Com 25 747

    Google Scholar 

  11. O.G. Mouritsen and A.J. Berlinsky 1982 Phys. Rev. Lett. 48 181

    Google Scholar 

  12. E. Coquet, M. Peyrard and H. Büttner 1988 J. Phys. C 21 4895

    Google Scholar 

  13. G. Vlastou-Tsinganos 1991 PhD Thesis, University of Crete

    Google Scholar 

  14. T. Janssen and J.A. Tjon 1982 Phys. Rev. B 25 3767

    Article  Google Scholar 

  15. Y. Ishibashi 1991 J. Phys. Soc. Japan 60 212

    Article  Google Scholar 

  16. R.P. Feynman and A.R. Hibbs "Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965)

    Google Scholar 

  17. S. Kirkpatrick, C.D.Jr. Gelattand M.P. Vecchi 1983 Science 220 671

    Google Scholar 

  18. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller and E. Teller 1953 J. Chem. Phys. 21 1087

    Article  Google Scholar 

  19. G. Vlastou-Tsinganos, N. Flytzanis and H. Büttner 1990 J. Phys. A 23 225

    Google Scholar 

  20. G. Vlastou-Tsinganos, N. Flytzanis and H. Büttner 1990 J. Phys. A 23 4553

    Google Scholar 

  21. T. Janssen 1986 “Incommensurate Phases in Dielectrics” Vol 1, eds R.Bline and A.P.Levanyuk (Amsterdam: North Holland)

    Google Scholar 

  22. K. Nakanishi and H. Shiba 1982 J. Phys. Soc. Japan 51 2089

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. Remoissenet M. Peyrand

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag

About this paper

Cite this paper

Flytzanis, N., Vlastou-Tsinganos, G. (1991). Competitive interactions and 2-D structures at finite temperatures. In: Remoissenet, M., Peyrand, M. (eds) Nonlinear Coherent Structures in Physics and Biology. Lecture Notes in Physics, vol 393. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54890-4_176

Download citation

  • DOI: https://doi.org/10.1007/3-540-54890-4_176

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54890-4

  • Online ISBN: 978-3-540-46458-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics