Zeitschrift für Physik B Condensed Matter

, Volume 47, Issue 4, pp 335–340 | Cite as

Interface properties of the three-state potts model in two dimensions

  • Walter Selke
  • Werner Pesch


Interface properties, in particular the interface free energy and the interface profile of the three-state Potts model in two dimensions are studied using Monte Carlo techniques and a generalized version of the method of Müller-Hartmann and Zittartz. The role of the third state in characterizing the interface between the two other states is elucidated.


Spectroscopy Neural Network Free Energy State Physics Complex System 
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  1. 1.
    Widom, B.: In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. II, p. 79. New York: Academic Press 1972.Google Scholar
  2. 2.
    Abraham, D.B.: Phys. Rev. Lett.47, 545 (1981)Google Scholar
  3. 2a.
    Bricmont, J., Lebowitz, J.L., Pfister, C.E.: J. Stat. Phys.24, 269 (1981)Google Scholar
  4. 2b.
    Fisher, M.P.A., Fisher, D.S., Weeks, J.D.: Phys. Rev. Lett.48, 368 (1982)Google Scholar
  5. 3.
    Binder, K.: Phys. Rev. A (in press)Google Scholar
  6. 4.
    Onsager, L.: Phys. Rev.65, 117 (1944)Google Scholar
  7. 4a.
    Fisher, M.E., Ferdinand, A.E.: Phys. Rev. Lett.19, 169 (1967)Google Scholar
  8. 5.
    Müller-Hartmann, E., Zittartz, J.: Z. Phys. B — Condensed Matter27, 261 (1977)Google Scholar
  9. 5a.
    Zittartz, J.: Z. Phys. B — Condensed Matter40, 233 (1980)Google Scholar
  10. 6.
    Burkhardt, T.W.: Z. Phys. B — Condensed Matter29, 129 (1978)Google Scholar
  11. 6a.
    Lin, K.Y., Wu, F.Y.: Z. Phys. B — Condensed Matter33, 181 (1979)Google Scholar
  12. 7.
    Hornreich, R.M., Liebmann, R., Schuster, H.G., Selke, W.: Z. Phys. B — Condensed Matter35, 91 (1979)Google Scholar
  13. 8.
    Doczi-Reger, J., Hemmer, P.C.: Physica109A, 541 (1981);108 A, 531 (1981)Google Scholar
  14. 9.
    Kroemer, J., Pesch, W.: J. Phys. A15, L25 (1982)Google Scholar
  15. 10.
    Widom, B.: In: Perspectives in Statistical Physics. Raveche, H.J. (ed.). Amsterdam: North Holland (1981)Google Scholar
  16. 11.
    For a recent review see: Wu, F.Y.: Rev. Mod. Phys.54, 235 (1982)Google Scholar
  17. 12.
    Ostlund, S.: Phys. Rev. B24, 398 (1981)Google Scholar
  18. 13.
    Huse, D.: Phys. Rev. B24, 5180 (1981)Google Scholar
  19. 14.
    Fisher, M.E., Selke, W.: Phys. Rev. Lett.44, 1502 (1980); Philosoph. Transact. Soc.302, 1 (1981)Google Scholar
  20. 14a.
    Selke, W.: Z. Phys. B — Condensed Matter43, 335 (1981)Google Scholar
  21. 15.
    Selke, W., Yeomans, J.M.: Z. Phys. B — Condensed Matter46, 311–318 (1982)Google Scholar
  22. 16.
    Yeomans, J.M., Fisher, M.E.: (to be published)Google Scholar
  23. 17.
    Binder, K. (ed.): Monte Carlo methods in statistical physics. Topics in Current Physics. Vol. 7. Berlin, Heidelberg, New York: Springer 1979.Google Scholar
  24. 18.
    Baxter, J.R., Pearce, P.A.: J. Phys. A15, 897 (1982)Google Scholar
  25. 19.
    Binder, K.: J. Stat. Phys.24, 69 (1981)Google Scholar
  26. 20.
    Leamy, H.J., Gillmer, G.H., Jackson, K.A., Bennema, P.: Phys. Rev. Lett.30, 601 (1973)Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Walter Selke
    • 1
  • Werner Pesch
    • 2
  1. 1.Institut für Festkörperforschung der Kerforschungsanlage JülichJülichFederal Republic of Germany
  2. 2.Theoretische PhysikPhysikalisches Institut der UniversitätBayreuthFederal Republic of Germany

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