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First-order phase transitions in finite-size strips with interfaces

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Zeitschrift für Physik B Condensed Matter

Abstract

Finite-size rounding of the magnetization discontinuity at the magnetic phase transition atH=0 (T<T c ) in 2d Ising-type strips of sizeL ×L , with ± boundary conditions alongL inducing an interface of lengthL , is studied by phenomenological considerations and transfer matrix techniques. Scaling expressions are derived forL =O(L ) and also in the infinite strip limitL →∞. Most of the results can be extended to the 3d case.

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References

  1. Privman, V., Fisher, M.E.: J. Stat. Phys.33, 385 (1983)

    Google Scholar 

  2. Binder K., Landau, D.P.: Phys. Rev. B30, 1477 (1984)

    Google Scholar 

  3. Brézin, E., Zinn-Justin, J.: Nucl. Phys. B257, [FS14], 867 (1985)

    Google Scholar 

  4. Fisher, M.E., Privman, V.: Phys. Rev. B32, 447 (1985)

    Google Scholar 

  5. Finite size scaling and numerical simulation of statistical systems.. Privman, V. (ed.). Singapore: World Scientific 1990

    Google Scholar 

  6. Nienhuis, B., Nauenberg, M.: Phys. Rev. Lett.35, 477 (1975)

    Google Scholar 

  7. Fisher, M.E., Berker, A.N.: Phys. Rev. B26, 2507 (1982)

    Google Scholar 

  8. Buff, F.P., Lovett, R.A., Stillinger, F.H., Jr.: Phys. Rev. Lett.15, 621 (1965)

    Google Scholar 

  9. Weeks, J.D.: J. Chem. Phys.67, 3106 (1977)

    Google Scholar 

  10. Fisher, M.P.A., Fisher, D.S., Weeks, J.D.: Phys. Rev. Lett.48, 368 (1982)

    Google Scholar 

  11. Privman, V., Švrakić, N.M.: Phys. Rev. Lett.62, 633 (1989)

    Google Scholar 

  12. Privman, V., Švrakić, N.M.: J. Stat. Phys.54, 735 (1989)

    Google Scholar 

  13. Forgacs, G., Lipowsky, R., Nieuwenhuizen, Th.M.: In: Phase transitions and critical phenomena. Domb, C., Lebowitz, J.L. (eds.). New York: Academic Press (to appear)

  14. Beijeren, H. van, Nolden, I.: In: Structure and dynamics of surfaces II. In: Topics in Current Physics. Schommers, W., Blanckenhagen, P. van (eds.), Vol. 43. Berlin, Heidelberg, New York: Springer 1987

    Google Scholar 

  15. Albano, E.V., Binder, K., Heermann, D.W., Paul, W.: Z. Phys. B-Condensed Matter77, 445 (1989)

    Google Scholar 

  16. Albano, E.V., Binder K., Heermann, D. W., Paul, W.: Surface Sci. (in press)

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Privman, V., Bartelt, M.C. First-order phase transitions in finite-size strips with interfaces. Z. Physik B - Condensed Matter 78, 501–505 (1990). https://doi.org/10.1007/BF01313334

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  • DOI: https://doi.org/10.1007/BF01313334

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