Surface-directed spinodal decomposition versus wetting phenomena: Computer simulations

(Note: The full text of this document is currently only available in the PDF Version )

Kurt Binder, Sanjay Puri and Harry L. Frisch


Abstract

If a binary mixture, confined by hard walls that prefer one component, is quenched from the one-phase region to the two-phase region, phase separation near the wall is characterized by concentration waves with wavevectors oriented perpendicular to the walls. The dynamics of this surface-directed spinodal decomposition is investigated by numerical simulations. We consider cases with short-range and long-range forces due to the walls, with special focus upon the interplay of this structure formation with the growth of wetting layers. Attention is also paid to the change of the equilibrium phase diagram of the mixture as a result of confinement in the thin film geometry, and the consequences that one expects for the dynamical behavior of phase separation. While most of the numerical results concern systems at critical composition, some results on off-critical quenches are also presented.


References

  1. J. W. Cahn, Acta Metall., 1961, 9, 795 Search PubMed.
  2. J. D. Gunton, M. San Miguel and P. S. Sahni, in Phase Transitions and Critical Phenomena, ed. C. Domb and J. L. Lebowitz, Academic Press, London, 1983, Vol. 8, p. 267 Search PubMed.
  3. K. Binder, in Materials Science and Technology, Vol. 5, Phase Transformations in Materials, ed. P. Haasen, VCH, Weinheim, 1991, p. 405 Search PubMed.
  4. I. M. Lifshitz and V. V. Slezov, J. Phys. Chem. Solids, 1961, 19, 35 CrossRef.
  5. K. Binder and D. Stauffer, Phys. Rev. Lett., 1974, 33, 1006 CrossRef.
  6. E. Siggia, Phys. Rev. A Gen. Phys., 1979, 20, 595 CrossRef CAS.
  7. H. Furukawa, Phys. Rev. A Gen. Phys., 1985, 31, 1103 CrossRef.
  8. D. E. Sullivan and M. M. Telo da Gama, in Fluid Interfacial Phenomena, ed. C. A. Croxton, Wiley, New York, 1986, p. 45 Search PubMed.
  9. S. Dietrich, in Phase Transitions and Critical Phenomena, ed. C. Domb and J. L. Lebowitz, Academic Press, London, 1988, Vol. 12, p. 1 Search PubMed.
  10. I. Schmidt and K. Binder, Z. Phys. B: Condens. Matter, 1987, 67, 369; S. Puri and K. Binder, Z. Phys. B: Condens. Matter, 1992, 86, 263.
  11. R. Lipowsky, J. Phys. A: Math. Gen., 1985, 18, L585 CrossRef CAS.
  12. R. Lipowsky and D. A. Huse, Phys. Rev. Lett., 1982, 52, 353.
  13. K. K. Mon, K. Binder and D. P. Landau, Phys. Rev. B: Condens. Matter, 1987, 35, 3683 CrossRef; K. Binder, in Kinetics of Ordering and Growth at Surfaces, ed. M. G. Lagally, Plenum Press, New York, 1990, p. 31 Search PubMed.
  14. G. Krausch, Mater. Sci. Eng. R., 1995, 14, 1 Search PubMed.
  15. H. Nakanishi and M. E. Fisher, J. Chem. Phys., 1983, 78, 3279 CrossRef CAS.
  16. K. Binder, Adv. Polymer Sci., 1999, 138, 1 CAS.
  17. T. Flebbe, B. Dünweg and K. Binder, J. Phys. II, 1996, 6, 667 Search PubMed.
  18. Y. Rouault, J. Baschnagel and K. Binder, J. Stat. Phys., 1995, 80, 1009.
  19. R. A. L. Jones, L. J. Norton, E. J. Kramer, F. S. Bates and P. Wiltzius, Phys. Rev. Lett., 1991, 66, 1326 CrossRef CAS.
  20. S. Puri and H. L. Frisch, J. Phys.: Condens. Matter, 1997, 9, 2109 CrossRef CAS.
  21. K. Binder, J. Non-Equilib. Thermodyn., 1998, 23, 1 Search PubMed.
  22. S. Puri and K. Binder, Phys. Rev. A Gen Phys., 1992, 46, R4487 CrossRef CAS.
  23. G. Brown and A. Chakrabarti, Phys. Rev. A Gen Phys., 1992, 46, 4829 CrossRef CAS.
  24. J. F. Marko, Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., 1993, 48, 2861 CrossRef CAS.
  25. C. Sagui, A. M. Somoza, C. Roland and R. C. Desai, J. Phys. A: Math. Gen., 1993, 26, 11163 CrossRef.
  26. W. J. Ma, P. Keblinski, A. Maritan, J. Koplik and J. R. Banavar, Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., 1993, 48, R2362 CrossRef CAS.
  27. S. Puri and K. Binder, Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., 1994, 49, 5359 CrossRef CAS.
  28. S. Puri and K. Binder, J. Stat. Phys., 1994, 77, 145.
  29. P. Keblinski, W. J. Ma, A. Maritan, J. Koplik and J. R. Banavar, Phys. Rev. Lett., 1994, 72, 3738 CrossRef.
  30. G. Krausch, E. J. Kramer, F. S. Bates, J. F. Marko, G. Brown and A. Chakrabarti, Macromolecules, 1994, 27, 6768 CrossRef CAS.
  31. G. Brown, A. Chakrabarti and J. F. Marko, Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., 1994, 50, 1674 CrossRef.
  32. H. L. Frisch, P. Nielaba and K. Binder, Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., 1995, 52, 2848 CrossRef CAS.
  33. S. Puri, K. Binder and H. L. Frisch, Phys. Rev. E: Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., 1997, 56, 6991 CrossRef CAS.
  34. H. P. Fischer, P. Maass and W. Dieterich, Phys. Rev. Lett., 1997, 79, 893 CrossRef CAS.
  35. L. Sung, A. Karim, J. F. Douglas and C. C. Han, Phys. Rev. Lett., 1996, 76, 4368 CrossRef CAS.
  36. K. Binder and H. L. Frisch, Z. Phys. B: Condens. Matter, 1991, 84, 403.
  37. H. L. Frisch, S. Puri and P. Nielaba, J. Chem. Phys., in press Search PubMed.
Click here to see how this site uses Cookies. View our privacy policy here.