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Wetting at the grain boundary in the planar Ising model

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Zeitschrift für Physik B Condensed Matter

Abstract

In this paper the conditions of pinning of an interface in a 2D Ising ferromagnet with defect connections in a solid-on-solid (SOS) limit are given. It is known that in this case the localisation of interface is formally equivalent to the bound state of quantum particle in temperature dependent effective potential. We show that a wetting transition occurs whenever the couplings on the two sides of the defect are different.

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References

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

    Google Scholar 

  2. Watson, P.G.: Phase transitions and critical phenomena. London: Academic Press 1972

    Google Scholar 

  3. Fisher, M.E., de Gennes, P.G.: C. R. Acad. Sci. Ser.B287, 207 (1978)

    Google Scholar 

  4. Burkhardt, T.W., Eisenriegler, E.: Phys. Rev.B24, 1236 (1981)

    Google Scholar 

  5. Abraham, D.B.: Phys. Rev. Lett.44, 1165 (1980)

    Google Scholar 

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

    Google Scholar 

  7. Abraham, D.B.: J. Phys.A14, L369 (1981b)

    Google Scholar 

  8. Burkhardt, T.W.: J. Phys.A14, L63 (1981)

    Google Scholar 

  9. Chalker, J.T.: J. Phys.A14, 2431 (1981)

    Google Scholar 

  10. Kroll, D.M.: Z. Phys. B-Condensed Matter41, 3459 (1981)

    Google Scholar 

  11. Chui, S.T., Weeks, J.D.: Phys. Rev.B23, 2438 (1981)

    Google Scholar 

  12. Van Leeuwen, J.V.J., Hilhort, H.J.: PhysicaA107, 319 (1981)

    Google Scholar 

  13. Dietrich, S.: Phase transition and critical phenomena. Domb, C., Lebowitz, J. (eds.), Vol. 10. New York: Academic Press 1987

    Google Scholar 

  14. Pandit, R., Schick, M., Wortis, M.: Phys. Rev.B26, 5112 (1982)

    Google Scholar 

  15. Nakanishi, H., Fisher, M.E.: Phys. Rev. Lett.49, 1565 (1982)

    Google Scholar 

  16. Bariev, R.Z.: Sov. Phys. JETP50, 613 (1979)

    Google Scholar 

  17. McCoy, B.M., Perk, J.H.H.: Phys. Rev. Lett.44, 840 (1980)

    Google Scholar 

  18. Forgacs, G., Ŝvrakić, N.M., Privman, V.: Phys. Rev.B37, 3818 (1988)

    Google Scholar 

  19. Fisher, M.E.: J. Stat. Phys.34, 66 (1984)

    Google Scholar 

  20. Abraham, D.B., Ko, L.F., Ŝvrakić, N.M.: Phys. Rev.B37, 9871 (1988a)

    Google Scholar 

  21. Abraham, D.B., Ko, L.F., Ŝvrakić, N.M.: Phys. Rev.B38, 10011 (1988b)

    Google Scholar 

  22. Forgacs, G., Nienwenhuisen, Th., Lipowsky, R.: Phase transitions and critical phenomena. Domb, C., Lebowitz, J. (eds.) Vol. 14. New York: Academic Press 1990

    Google Scholar 

  23. Wolf, W.F.: (unpublished notes) Universität Köln 1983

  24. Ŝvrakić, N.M.: J. Phys.A16, L171 (1983)

    Google Scholar 

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

    Google Scholar 

  26. Huang, K.: Statistical physics. New York: Wiley 1963

    Google Scholar 

  27. Messiah, A.: Quantum mechanics. Amsterdam: North Holland 1969

    Google Scholar 

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Todorović, D., Ŝvrakić, N.M. Wetting at the grain boundary in the planar Ising model. Z. Physik B - Condensed Matter 87, 355–358 (1992). https://doi.org/10.1007/BF01309288

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  • DOI: https://doi.org/10.1007/BF01309288

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