Zeitschrift für Physik B Condensed Matter

, Volume 50, Issue 2, pp 113–116 | Cite as

Interfacial adsorption in planar potts models

  • Walter Selke
  • David A. Huse
Article

Abstract

The net adsorption,W, of non-boundary states at interfaces in two-dimensional Potts models is studied using Monte Carlo techniques. For the three-and four-state Potts model the net adsorption is found to diverge when the critical point is approached asWt−ω, wheret=(Tc-T)/T. Finite-size effects have been also studied; for anN x N lattice the net adsorption at the bulk critical temperature behaves asWc∼Na. The numerical results for the exponents ω anda are consistent with a scaling argument that yields ω=ν-β anda=1-(β/ν).

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References

  1. 1.
    Widom, B.: In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. II, p. 79. New York: Academic Press 1972Google Scholar
  2. 2a.
    See, e.g., Widom, B.: J. Chem. Phys.68, 3878 (1978)Google Scholar
  3. 2b.
    Moldover, M., Cahn, J.: Science207, 1073 (1980)Google Scholar
  4. 3.
    Selke, W., Pesch, W.: Z. Phys. B — Condensed Matter47, 335 (1982)Google Scholar
  5. 4.
    Kinzel, W.: J. Phys. A15, L413 (1982)Google Scholar
  6. 5.
    Temesvari, T.: J. Phys. A15, L625 (1982)Google Scholar
  7. 6.
    Schmittmann, B.: J. Phys. A15, 3571 (1982)Google Scholar
  8. 7.
    Svrakic, M.N.: Preprint (1982)Google Scholar
  9. 8.
    Selke, W., Yeomans, J.M.: J. Phys. C (to be published) Selke, W.: (to be published)Google Scholar
  10. 9.
    For a recent review, see, e.g., Schick, M.: Prog. Surf. Sci.11, 245 (1981)Google Scholar
  11. 10.
    For a recent review, see Wu, F.Y.: Rev. Mod. Phys.54, 235 (1982)Google Scholar
  12. 11.
    Fisher, M.E., de Gennes, P.G.: C.R. Acad. Sci. Paris287, B207 (1978)Google Scholar
  13. 12.
    Huse, D.A., Fisher, M.E.: Phys. Rev. Lett.49, 793 (1982); and (to be published)Google Scholar
  14. 13.
    Huse, D.A., Szpilka, A.M., Fisher, M.E.: (to be published)Google Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Walter Selke
    • 1
  • David A. Huse
    • 2
  1. 1.Institut für Festkörperforschung der Kernforschungsanlage JülichJu:ulich 1Federal Republic of Germany
  2. 2.Baker Laboratory, Cornell University IthacaIthacaUSA

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