Effects of Anisotropy in the Ordering Mechanisms of Two Dimensional Rotors

  • H. Leitão
  • M. M. Telo da Gama
Part of the NATO ASI Series book series (NSSB, volume 290)


The study of two dimensional systems has been an active field of research for many years1. These systems exhibit a rich, but subtle, phase behaviour, which renders them quite distinct from their three dimensional counterparts, and a complete understanding of its physical behaviour has been a challenge to theoreticians and experimentalists alike.


Pair Approximation Cluster Variational Method Renormalization Group Transformation Closed Form Approximation Renormalization Group Mapping 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. Sinha, ed. “Ordering in Two Dimensions”, North Holland, New York (1980).Google Scholar
  2. 2.
    B. Jérôme, Surface Effects and Anchoring in Liquid Crystals, Rep. Prog. Phys. 54: 391 (1991).CrossRefGoogle Scholar
  3. 3.
    J.A. Cuesta, C. Tejero and M. Baus, Phys. Rev. A 39: 6498 (1989).ADSCrossRefGoogle Scholar
  4. 4.
    J.A. Cuesta and D. Frenkel, Phys. Rev. A 42: 2126 (1990).ADSCrossRefGoogle Scholar
  5. 5.
    W. Maier and A. Saupe, Z. Naturf. A 14a: 882 (1959).ADSGoogle Scholar
  6. 6.
    J. Fröhlich and E.H. Lieb, Commun. Math. Phys. 60: 233 (1978).ADSCrossRefGoogle Scholar
  7. 7.
    J.M. Kosterlitz and D.J. Thouless, J. Phys. C 6: 1181 (1973).ADSCrossRefGoogle Scholar
  8. 8.
    S. Romano, Liq. Crystals 6: 457 (1989).MathSciNetCrossRefGoogle Scholar
  9. 9.
    R. Kikuchi, Phys. Rev. 81: 988 (1951).MathSciNetADSMATHCrossRefGoogle Scholar
  10. 10.
    E. Chacòn and P. Tarazona, Phys. Rev. B 39: 7111 (1989).ADSCrossRefGoogle Scholar
  11. 11.
    M.M. Telo da Gama and P. Tarazona, Phys. Rev. A 41: 1149 (1990).ADSCrossRefGoogle Scholar
  12. 12.
    H. Leitao and M.M. Telo da Gama, (submitted Physica A).Google Scholar
  13. 13.
    J.O. Indekeu, A. Maritain and A.L. Stella, J. Phys. A 15: L291 (1982).ADSCrossRefGoogle Scholar
  14. 14.
    I.S. Gradshteyn and I.M. Ryzhik, “Table of Integrals, Series and Products”, Academic Press, New York (1980).MATHGoogle Scholar
  15. 15.
    Y.H. Li and S. Teitel, Phys. Rev. B 40: 9122 (1989).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • H. Leitão
    • 1
  • M. M. Telo da Gama
    • 1
  1. 1.Departamento de FisicaUniversidade de Lisboa, Centro de Fisica da Materia CondensadaLisboa CodexPortugal

Personalised recommendations