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Wetting and interfacial adsorption in the Blume-Capel model on the square lattice

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Abstract

We study the Blume-Capel model on the square lattice. To allow for wetting and interfacial adsorption, the spins on opposite boundaries are fixed in two different states, “+1” and “−1”, with reduced couplings at one of the boundaries. Using mainly Monte Carlo techniques, of Metropolis and Wang-Landau type, phase diagrams showing bulk and wetting transitions are determined. The role of the non-boundary state, “0”, adsorbed preferably at the interface between “−1” and “+1” rich regions, is elucidated.

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References

  1. D.B. Abraham, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, New York, 1986), Vol. 10

  2. S. Dietrich, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic Press, New York, 1988), Vol. 12

  3. D. Bonn, J. Eggers, J. Indekeu, J. Meunier, E. Rolley, Rev. Mod. Phys. 81, 739 (2009)

    Article  ADS  Google Scholar 

  4. J. Ralston, M. Popescu, R. Sedev, Annu. Rev. Mater. Res. 38, 23 (2008)

    Article  ADS  Google Scholar 

  5. M.R. Moldover, J.W. Cahn, Science 207, 1073 (1980)

    Article  ADS  Google Scholar 

  6. W. Selke, W. Pesch, Z. Physik B 47, 335 (1982)

    Article  ADS  Google Scholar 

  7. W. Selke, D.A. Huse, Z. Physik B 50, 113 (1983)

    Article  ADS  Google Scholar 

  8. W. Selke, D.A. Huse, D.M. Kroll, J. Phys. A 17, 3019 (1984)

    Article  ADS  Google Scholar 

  9. E.V. Albano, K. Binder, Phys. Rev. E 85, 061601 (2012)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  11. W. Pesch, W. Selke, Z. Physik B 69, 295 (1987)

    Article  ADS  Google Scholar 

  12. M. Blume, Phys. Rev. 141, 517 (1966)

    Article  ADS  Google Scholar 

  13. H.W. Capel, Physica 32, 966 (1966)

    Article  ADS  Google Scholar 

  14. H.W. Capel, Physica 33, 295 (1967)

    Article  ADS  Google Scholar 

  15. H.W. Capel, Physica 37, 423 (1967)

    Article  ADS  Google Scholar 

  16. P. Nightingale, J. Appl. Phys. 53, 7927 (1982)

    Article  ADS  Google Scholar 

  17. P.D. Beale, Phys. Rev. B 33, 1717 (1986)

    Article  ADS  Google Scholar 

  18. C.J. Silva, A.A. Caparica, J.A. Plascak, Phys. Rev. E 73, 036702 (2006)

    Article  ADS  Google Scholar 

  19. A. Malakis, A.N. Berker, I.A. Hadjiagapiou, N.G. Fytas, T. Papakonstantinou, Phys. Rev. E 81, 041113 (2010) and references therein

    Article  ADS  Google Scholar 

  20. A. Malakis, A. Peratzakis, N.G. Fytas, Phys. Rev. E 70, 066128 (2004)

    Article  ADS  Google Scholar 

  21. N.G. Fytas, A. Malakis, I.A. Hadjiagapiou, J. Stat. Mech.: Theory Exp. 2008, P11009 (2008)

    Article  Google Scholar 

  22. N.G. Fytas, A. Malakis, K. Eftaxias, J. Stat. Mech.: Theory Exp. 2008, P03015 (2008)

    Article  Google Scholar 

  23. F. Wang, D.P. Landau, Phys. Rev. Lett. 86, 2050 (2001)

    Article  ADS  Google Scholar 

  24. F. Wang, D.P. Landau, Phys. Rev. E 64, 056101 (2001)

    Article  ADS  Google Scholar 

  25. R.E. Belardinelli, V.D. Pereyra, Phys. Rev. E 75, 046701 (2007)

    Article  ADS  Google Scholar 

  26. M.E. Fisher, A.N. Berker, Phys. Rev. B 26, 2507 (1982)

    Article  ADS  Google Scholar 

  27. M.S.S. Challa, D.P. Landau, K. Binder, Phys. Rev. B 34, 1841 (1986)

    Article  ADS  Google Scholar 

  28. K. Binder, Rep. Prog. Phys. 50, 783 (1987)

    Article  ADS  Google Scholar 

  29. J. Lee, J.M. Kosterlitz, Phys. Rev. Lett. 65, 137 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. W. Janke, Phys. Rev. B 47, 14757 (1993)

    Article  ADS  Google Scholar 

  31. O. Hryniv, R. Kotecký, J. Stat. Phys. 106, 431 (2002)

    Article  MATH  Google Scholar 

  32. J.-S. Wang, R.H. Swendsen, Physica A 167, 565 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  33. K. Binder, Z. Physik B 43, 119 (1981)

    Article  ADS  Google Scholar 

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Correspondence to W. Selke.

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Fytas, N.G., Selke, W. Wetting and interfacial adsorption in the Blume-Capel model on the square lattice. Eur. Phys. J. B 86, 365 (2013). https://doi.org/10.1140/epjb/e2013-40475-6

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  • DOI: https://doi.org/10.1140/epjb/e2013-40475-6

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