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Wetting phenomena in the two-dimensional ANNNI model in a field

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Zeitschrift für Physik B Condensed Matter

Abstract

Wetting phenomena at various interface types in the ordered phases of the two-dimensional axial next-nearest neighbour Ising (or ANNNI) model in a field are studied using a transfer matrix approach and Monte Carlo techniques. Different types of wetting at distinct wetting lines or at the bulk phase boundary are identified, which may be tested experimentally in adsorbate systems with a (p×1) ordering, forp equal to two, three or four.

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References

  1. For early work, see: Cahn, J.W.: J. Chem. Phys.66, 3667 (1977)

    Google Scholar 

  2. Ebner, C., Saam, W.F.: Phys. Rev. Lett.38, 1486 (1977)

    Google Scholar 

  3. Widom, B.: J. Chem. Phys.68, 3878 (1978)

    Google Scholar 

  4. For reviews, see Pandit, R., Schick, M., Wortis, M.: Phys. Rev. B26, 5112 (1982)

    Google Scholar 

  5. Sullivan, D.E., Telo da Gama, M.M.: In: Fluid interfacial phenomena. Croxton, C.A. (ed.). New York: Wiley 1985

    Google Scholar 

  6. Gennes, P.G. de: Rev. Mod. Phys.57, 827 (1985)

    Google Scholar 

  7. Moldover, M.R., Schmidt, J.W.: Physica D12, 351 (1984)

    Google Scholar 

  8. For recent developments, see: Hauge, E.H.: Phys. Rev. B33, 3322 (1986)

    Google Scholar 

  9. Binder, K., Landau, D.P., Kroll, D.M.: Phys. Rev. Lett.56, 2272 (1986)

    Google Scholar 

  10. Bricmont, J., El Mellouki A., Fröhlich, J.: J. Statist. Phys.42, 743 (1986)

    Google Scholar 

  11. Huse, D.A., Fisher, M.E.: Phys. Rev. B29, 239 (1984)

    Google Scholar 

  12. Huse, D.A., Szpilka, A.M., Fisher, M.E.: Physica A121, 363 (1983)

    Google Scholar 

  13. Selke, W.: In: Lecture Notes in Physics. Pekalski, A., Sznajd, J. (eds.), Vol. 206, p. 191. Berlin, Heidelberg, New York, Tokyo: Springer 1984

    Google Scholar 

  14. Fisher, M.E.: J. Statist. Phys.34, 667 (1984); Faraday Symp. 20 (1985)

    Google Scholar 

  15. Sega, I., Selke, W., Binder, K.: Surface Sci.154, 331 (1985)

    Google Scholar 

  16. Rujan, P., Uimin, G., Selke, W.: Phys. Rev. B32, 7453 (1985)

    Google Scholar 

  17. Uimin, G., Rujan, P.: Phys. Rev. B34, 3551 (1986)

    Google Scholar 

  18. Selke, W.: Ber. Bunsenges. Phys. Chem.90, 232 (1986)

    Google Scholar 

  19. Ala-Nissila, T., Amar, J., Gunton, J.D.: J. Phys. A19, L41 (1986)

    Google Scholar 

  20. Ala-Nissila, T., Gunton, J.D., Kaski, K.: Phys. Rev. B33, 7583 (1986)

    Google Scholar 

  21. Ertl, G., Küppers, J.: Surface Sci.21, 61 (1970)

    Google Scholar 

  22. Rujan, P., Selke, W., Uimin, G.: Z. Phys. B-Condensed Matter53, 221 (1983)

    Google Scholar 

  23. See, for example, Binder, K., Landau, D.P.: Surface Sci.108, 503 (1981)

    Google Scholar 

  24. For reviews on the ANNNI model, see: Bak, P.: Rep. Prog. Phys.45, 587 (1982)

    Google Scholar 

  25. Fisher, M.E., Huse, D.A.: In: Melting, localization and chaos. Kalia, R.K., Vashista, P. (eds.) Amsterdam: Elsevier 1982

    Google Scholar 

  26. Selke, W.: In: Modulated structure materials. Tsakalakos, T. (ed.) p. 23. Dordrecht: Nijhoff 1984

    Google Scholar 

  27. Abraham, D.B., Smith, E.R.: Phys. Rev. B26, 1480 (1982)

    Google Scholar 

  28. Abraham, D.B., Duxbury, P.M.: J. Phys. A19, 385 (1986)

    Google Scholar 

  29. Selke, W., Yeomans, J.: J. Phys. A16, 2789 (1983)

    Google Scholar 

  30. Selke, W., Huse, D.A., Kroll, D.M.: J. Phys. A17, 3019 (1984)

    Google Scholar 

  31. Vallade, M., Lajcerowicz, J.: J. Phys. (Paris)42, 1505 (1981)

    Google Scholar 

  32. Lipowsky, R., Kroll, D.M., Zia, R.K.P.: Phys. Rev. B27, 4499 (1983)

    Google Scholar 

  33. For an introduction, see: Binder, K. (ed.): in statistical physics. In: Topics in Current Physics. Vol. 36. Berlin, Heidelberg, New York, Tokyo, Springer 1984

    Google Scholar 

  34. For a review, see Kogut, J.: Rev. Mod. Phys.51, 659 (1979)

    Google Scholar 

  35. Rujan, P. and Uimin, G.V.: J. Phys. A17, L61, (1984)

    Google Scholar 

  36. For a review, see, Hohenberg, P.C., Halperin, B.I.: Rev. Mod. Phys.49, 435 (1977)

    Google Scholar 

  37. Abramovitz, M. and Stegun, I.A. (eds.): In Handbook of Mathematical Functions. New York: Dover 1965

    Google Scholar 

  38. For recent work on bulk properties of the two-dimensional ANNNI model, see, Oitmaa, J.: J. Phys. A18, 365 (1985)

    Google Scholar 

  39. Finel, A., Fontaine, D. de: J. Statist. Phys.43, 645 (1986)

    Google Scholar 

  40. Beale, P.D., Duxbury, P.M., Yeomans, J.: Phys. Rev. B31, 7166 (1985)

    Google Scholar 

  41. Lipowsky, R.: Phys. Rev. B32, 1731 (1985)

    Google Scholar 

  42. Creutz, M., Jacobs, L., Rebbi, C.: Phys. Rev. Lett.42, 1390 (1979)

    Google Scholar 

  43. Oliveira, M.J. de, Griffiths, R.B.: Surface Sci.71, 687 (1978)

    Google Scholar 

  44. Duxbury, P.M., Yeomans, J.M.: J. Phys. A18, L983 (1985)

    Google Scholar 

  45. Racz, Z., Plischke, M.: Acta Phys. Hung. (Dec. 1986)

  46. For a review, see, Bauer, E.: In: Topics in Current Physics. Schommers, W., Blanckenhagen, P. von (eds.). Berlin, Heidelberg, New York, Tokyo: Springer (to be published)

  47. For adsorbates with (2×1) structures, see, for example, Ertl, G.: Surface Sci.6, 208 (1967)

    Google Scholar 

  48. Demuth, J.E., Rhodin, T.N.: Surface Sci.45, 249 (1974)

    Google Scholar 

  49. Wang, G.C., Lu, T.M.: Phys. Rev. B31, 5918 (1985)

    Google Scholar 

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Author notes

  1. P. Rujan

    Present address: Institute for Theoretical Physics, Eötvös University, H-1088, Budapest, Hungary

Authors and Affiliations

  1. Institut für Festkörperforschung der KFA, Postfach 1913, D-5170, Jülich, Germany

    P. Rujan & W. Selke

  2. L.D. Landau Institute for Theoretical Physics, The Academy of Sciences of the USSR, GSP-1, Kosygin St. 2, SU-117940, Moscow, USSR

    G. Uimin

Authors
  1. P. Rujan
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  2. W. Selke
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  3. G. Uimin
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Rujan, P., Selke, W. & Uimin, G. Wetting phenomena in the two-dimensional ANNNI model in a field. Z. Physik B - Condensed Matter 65, 235–247 (1986). https://doi.org/10.1007/BF01303847

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  • DOI: https://doi.org/10.1007/BF01303847

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