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

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Zeitschrift für Physik B Condensed Matter

Abstract

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.

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References

  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. Abraham, D.B.: Phys. Rev. Lett.47, 545 (1981)

    Google Scholar 

  3. Bricmont, J., Lebowitz, J.L., Pfister, C.E.: J. Stat. Phys.24, 269 (1981)

    Google Scholar 

  4. Fisher, M.P.A., Fisher, D.S., Weeks, J.D.: Phys. Rev. Lett.48, 368 (1982)

    Google Scholar 

  5. Binder, K.: Phys. Rev. A (in press)

  6. Onsager, L.: Phys. Rev.65, 117 (1944)

    Google Scholar 

  7. Fisher, M.E., Ferdinand, A.E.: Phys. Rev. Lett.19, 169 (1967)

    Google Scholar 

  8. Müller-Hartmann, E., Zittartz, J.: Z. Phys. B — Condensed Matter27, 261 (1977)

    Google Scholar 

  9. Zittartz, J.: Z. Phys. B — Condensed Matter40, 233 (1980)

    Google Scholar 

  10. Burkhardt, T.W.: Z. Phys. B — Condensed Matter29, 129 (1978)

    Google Scholar 

  11. Lin, K.Y., Wu, F.Y.: Z. Phys. B — Condensed Matter33, 181 (1979)

    Google Scholar 

  12. Hornreich, R.M., Liebmann, R., Schuster, H.G., Selke, W.: Z. Phys. B — Condensed Matter35, 91 (1979)

    Google Scholar 

  13. Doczi-Reger, J., Hemmer, P.C.: Physica109A, 541 (1981);108 A, 531 (1981)

    Google Scholar 

  14. Kroemer, J., Pesch, W.: J. Phys. A15, L25 (1982)

    Google Scholar 

  15. Widom, B.: In: Perspectives in Statistical Physics. Raveche, H.J. (ed.). Amsterdam: North Holland (1981)

    Google Scholar 

  16. For a recent review see: Wu, F.Y.: Rev. Mod. Phys.54, 235 (1982)

    Google Scholar 

  17. Ostlund, S.: Phys. Rev. B24, 398 (1981)

    Google Scholar 

  18. Huse, D.: Phys. Rev. B24, 5180 (1981)

    Google Scholar 

  19. Fisher, M.E., Selke, W.: Phys. Rev. Lett.44, 1502 (1980); Philosoph. Transact. Soc.302, 1 (1981)

    Google Scholar 

  20. Selke, W.: Z. Phys. B — Condensed Matter43, 335 (1981)

    Google Scholar 

  21. Selke, W., Yeomans, J.M.: Z. Phys. B — Condensed Matter46, 311–318 (1982)

    Google Scholar 

  22. Yeomans, J.M., Fisher, M.E.: (to be published)

  23. Binder, K. (ed.): Monte Carlo methods in statistical physics. Topics in Current Physics. Vol. 7. Berlin, Heidelberg, New York: Springer 1979.

    Google Scholar 

  24. Baxter, J.R., Pearce, P.A.: J. Phys. A15, 897 (1982)

    Google Scholar 

  25. Binder, K.: J. Stat. Phys.24, 69 (1981)

    Google Scholar 

  26. Leamy, H.J., Gillmer, G.H., Jackson, K.A., Bennema, P.: Phys. Rev. Lett.30, 601 (1973)

    Google Scholar 

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Selke, W., Pesch, W. Interface properties of the three-state potts model in two dimensions. Z. Physik B - Condensed Matter 47, 335–340 (1982). https://doi.org/10.1007/BF01313800

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  • DOI: https://doi.org/10.1007/BF01313800

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