Skip to main content
SpringerLink
Log in

On the roughening transition in the Potts model (q=2, 3) in two and three dimensions

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Roughening-respectively depinning-transitions of interfaces between regions of different phases are considered in theq-state Potts model (q=2, 3) in two and three dimensions. For two dimensions the depinning temperatureT R is obtained from transfer matrix calculations. In three dimensions we have used a low temperature expansion in a solid-on-solid type approximation to determine the roughening temperatureT R and the critical exponents for some moments of the interface profile nearT R .

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Selke, W., Pesch, W.: Z. Phys. B — Condensed Matter47, 335 (1982)

    Google Scholar 

  2. Selke, W., Huse, D.A.: Z. Phys. B — Condensed Matter50, 113 (1982); Huse, D.A., Fisher, M.E.: Phys. Rev. Lett.49, 793 (1982): Phys. Rev. B29, 239 (1984)

    Google Scholar 

  3. See e.g. Moldover, M., Cahn, J.: Science207, 1073 (1980)

    Google Scholar 

  4. For a review see: Selke, W.: XXth Karpacz Winter School of Theoretical Physics, Poland 1984; Lecture Notes in Physics (to be published)

  5. Abraham, D.B.: Phys. Rev. Lett.44, 1165 (1980), Kroll, D.M.: Z. Phys. B — Condensed Matter41, 345 (1981); Leeuwen, J.M.J. Van, Hilhorst, H.J.: Physica107A, 319 (1981); Burkhardt, T.W.: J. Phys.A 14, L 63 (1981); Kroll, D.M., Lipowski, R.: Phys. Rev. B26, 5289 (1982)

    Google Scholar 

  6. Leamy, H.J., Gilmer, G.H.: Statistical thermodynamics of clean surfaces. In: Surface physics of materials. Blakely, J.M. (ed.). New York: Academic Press (1975)

    Google Scholar 

  7. Mittag, L., Stephen, M.J.: J. Math. Phys.12, 441 (1971)

    Google Scholar 

  8. Vanden Broeck, J.M., Schwartz, L.W.: SIAM J. Math. Anal.10, 658 (1979); Hamer, C.J., Barber, N.M.: J. Phys. A14, 2009 (1981)

    Google Scholar 

  9. Dudowicz, J., Stecki, J.: Phys. Rev. B26, 3381 (1982)

    Google Scholar 

  10. Domb, C.: Adv. Phys.9, 149 (1960)

    Google Scholar 

  11. Baker, G.A.: Essentials of Padé Approximents. New York (1975); Hunter, D.L., Baker, G.A.: Phys. Rev. B7, 3346 (1973)

  12. Swendsen, R.H.: Phys. Rev. Lett.38, 615 (1977)

    Google Scholar 

  13. Swendsen, R.H.: Phys. Rev. B15, 5421 (1977)

    Google Scholar 

Download references

Author information

Author notes

  1. I. Schmidt

    Present address: Institut für Physik der Universität Mainz, Jacob Welder Weg 11, D-6500, Mainz, FRG

Authors and Affiliations

  1. Physikalisches Institut der Universität Bayreuth, Universitätsstrasse 30, D-8580, Bayreuth, Germany

    I. Schmidt & W. Pesch

Authors
  1. I. Schmidt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. Pesch
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schmidt, I., Pesch, W. On the roughening transition in the Potts model (q=2, 3) in two and three dimensions. Z. Physik B - Condensed Matter 58, 63–68 (1984). https://doi.org/10.1007/BF01469438

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01469438

Keywords

Search

Navigation