Interfacial adsorption in planar potts models

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 asW c∼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 1972

    Google 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)

  9. 8.

    Selke, W., Yeomans, J.M.: J. Phys. C (to be published) Selke, W.: (to be published)

  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)

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Selke, W., Huse, D.A. Interfacial adsorption in planar potts models. Z. Physik B - Condensed Matter 50, 113–116 (1983). https://doi.org/10.1007/BF01304093

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Keywords

  • Spectroscopy
  • Neural Network
  • State Physics
  • Complex System
  • Nonlinear Dynamics