Skip to main content

Phase Behavior of Binary Polymer Blends in Thin Films

  • Conference paper
Computer Simulation Studies in Condensed-Matter Physics XIV

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 89))

  • 183 Accesses

Abstract

We study the phase behavior of a symmetrical binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component and the corresponding semi-infinite system exhibits a first order wetting transition. The surface interaction of the opposite surface is varied as to study the crossover from capillary condensation for symmetric surface fields to the interface localization/delocalization transition for antisymmetric surface fields. In the former case the phase diagram has a single critical point close to the bulk critical point. In the latter case the phase diagram exhibits two critical points which correspond to the prewetting critical points of the semi-infinite system. Only below a triple point there is a single two phase coexistence region.

The dependence of the phase behavior for antisymmetric boundaries is studied as a function of the film thickness. Upon reducing the film thickness we can change the order of the interface localization/delocalization transition from first to second. The role of fluctuations is explored via Monte Carlo simulations of a coarse grained lattice model. Close to the (prewetting) critical points we observe 2D Ising critical behavior. The rich crossover behavior between Ising critical and tricritical behavior and the corresponding mean field behaviors as a function of film thickness is investigated. At lower temperatures capillary waves of the AB interface lead to a pronounced dependence of the effective interface potential on the lateral system size.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Evans: J. Phys. Cond. Matter 2, 8989 (1990).

    Article  ADS  Google Scholar 

  2. A.O. Parry: J. Phys. Condens. Matter 8, 10761 (1996).

    Article  ADS  Google Scholar 

  3. S. Dietrich: Phase Transitions and Critical Phenomena, Vol. 12, C. Domb and J. Lebowitz (Eds.) (Academic Press, London 1988).

    Google Scholar 

  4. M.E. Fisher and H. Nakanishi: J. Chem. Phys. 75, 5857 (1981); H. Nakanishi and M.E. Fisher: J. Chem. Phys. 78, 3279 (1983).

    Article  ADS  Google Scholar 

  5. L.D. Gelb et al: Rep. Prog. Phys. 62, 1573 (1999).

    Article  ADS  Google Scholar 

  6. F. Brochard-Wyart and P.-G. de Gennes: Acad. Sci. Paris 297, 223 (1983).

    Google Scholar 

  7. A.O. Parry and R. Evans: Phys. Rev. Lett. 64, 439 (1990); Physica A 181, 250 (1992).

    Article  ADS  Google Scholar 

  8. M.R. Swift, A.L. Owczarek, and J.O. Indekeu: Europhys. Lett. 14, 475 (1991).

    Article  ADS  Google Scholar 

  9. K. Binder, D.P. Landau, and A.M. Ferrenberg: Phys. Rev. Lett. 74, 298 (1995); Phys. Rev. E 51, 2823 (1995); E.V. Albano, K. Binder, D.W. Heermann, and W. Paul: Surf. Sci. 233, 151 (1989).

    Article  ADS  Google Scholar 

  10. K. Binder, R. Evans, D.P. Landau, A.M. Ferrenberg: Phys. Rev. E 53, 5023 (1996).

    Article  ADS  Google Scholar 

  11. M. Müller, K. Binder, E.V. Albano: Europhys. Lett. 49, 724 (2000).

    Article  Google Scholar 

  12. M. Müller, K. Binder, E.V. Albano: Physica A 279, 188 (2000).

    Article  ADS  Google Scholar 

  13. M. Müller, E.V. Albano, K. Binder: Phys. Rev. E 62, 5281 (2000).

    Article  ADS  Google Scholar 

  14. M. Müller and K. Binder: Phys. Rev. E 63, 021602 (2001).

    Article  ADS  Google Scholar 

  15. M. Schick: Liquids at Interfaces, Les Houches, Session XLVIII, J. Charvolin, J.F. Joanny, and J. Zinn-Justin (Eds.), Elsevier, Amsterdam (1990).

    Google Scholar 

  16. T. Young: Philos. Trans. R. Soc. London 5, 65 (1805).

    Google Scholar 

  17. A.M. Ferrenberg, D.P. Landau, K. Binder: Phys. Rev. E 58, 3353 (1998).

    Article  ADS  Google Scholar 

  18. B. Nienhuis, A.N. Nerker, E.K. Riedel, M. Schick: Phys. Rev. Lett. 43, 737 (1979); M.P.M. den Nijs: J. Phys. A 12, 1857 (1979); R.B. Pearson, Phys. Rev. B 22, 2579 (1980).

    Article  ADS  Google Scholar 

  19. V.L. Ginzburg: Sov. Phys. Solid State 2, 1824 (1960); P.G. de Gennes: J. Phys. Lett. (Paris), 38, L-441 (1977); K. Binder: Phys. Rev. A 29, 341 (1984).

    MathSciNet  Google Scholar 

  20. M. Müller: Macromol. Theory Simul. (Feature Article) 8, 343 (1999).

    Article  Google Scholar 

  21. I. Carmesin and K. Kremer: Macromolecules 21, 2819 (1988).

    Article  ADS  Google Scholar 

  22. H.-P. Deutsch and K. Binder: Macromolecules 25, 6214 (1992).

    Article  ADS  Google Scholar 

  23. M. Müller and K. Binder: Macromolecules 31, 8323 (1998).

    Article  ADS  Google Scholar 

  24. N.B. Wilding and P. Nielaba: Phys. Rev. E 53, 926 (1996).

    Article  ADS  Google Scholar 

  25. R. Lipowsky, D.M. Kroll, and R.K.P. Zia: Phys. Rev. B 27, 499 (1983).

    Article  Google Scholar 

  26. E. Brezin, B.I. Halperin, and S. Leibler: Phys. Rev. Lett. 50, 1387 (1983).

    Article  ADS  Google Scholar 

  27. A. Werner, F. Schmid, M. Müller, and K. Binder: J. Chem. Phys. 107, 8175 (1997).

    Article  ADS  Google Scholar 

  28. D. Nicolaides and R. Evans: Phys. Rev. B 39, 9336 (1989); R. Evans and U. Marini Bettolo Marconi: Phys. Rev. A 32, 3817 (1985).

    Article  ADS  Google Scholar 

  29. T. Kerle, J. Klein, and K. Binder: Phys. Rev. Lett. 77, 1318 (1996); Europ. Phys. J. B7, 401 (1999).

    Article  ADS  Google Scholar 

  30. M. Sferrazza, M. Heppenstall-Butler, R. Cubitt, G.D. Bucknall, J. Webster, R.A.L. Jones: Phys. Rev. Lett. 81, 5173 (1998); M. Sferrazza, C. Xiao, R.A.L. Jones, G.D. Bucknall, J. Webster, J. Penfold, ibid 78, 3693 (1997).

    Article  ADS  Google Scholar 

  31. J. Rysz, A. Budkowski, A. Bernasik, J. Klein, K. Kowalski, J. Jedlinski, L.J. Fetters: Europhys. Lett. 50, 35 (2000).

    Article  ADS  Google Scholar 

  32. M. Geoghegan, H. Ermer, G. Jüngst, G. Krausch, R. Brenn: Phys. Rev. E 62, 940 (2000).

    Article  ADS  Google Scholar 

  33. W. Zhao, M.H. Rafailovich, J. Sokolov, L.J. Fetters, R. Plano, M.K. Sanyal, S.K. Sinha: Phys. Rev. Lett. 70, 1453 (1993).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Müller, M. (2002). Phase Behavior of Binary Polymer Blends in Thin Films. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIV. Springer Proceedings in Physics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59406-9_29

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-59406-9_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63967-8

  • Online ISBN: 978-3-642-59406-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics