A self-consistent field study of the wetting transition in binary polymer blends

Journal of Chemical Physics

Volumn 106, Issue 3, 1997, Pages 1257-1263

  Genzer, Jan ^a,b   Composto, Russell J ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BINARY MIXTURES; COMPUTER SIMULATION; FREE ENERGY; SURFACES; VOLUME FRACTION; WETTING;

CAHN-HILLIARD EQUATIONS; CHEMICAL POTENTIAL; FREE ENERGY DENSITY; SELF CONSISTENT FIELD THEORY;

POLYMER BLENDS;

EID: 0030815492     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.473222     Document Type: Article

References (36)

1. S. Dietrich, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1988), Vol. 12, p. 1.
2. By infinitely thick we mean that the layer is macroscopically thick and that there is no thermodynamic barrier which dictates the exact thickness of the wet layer. The only factor that determines the thickness of the wetting phase is the amount of material present in the system. Although the terminology "infinitely" thick is awkward, we have adapted the notation used by previous authors.
3. J. W. Cahn, J. Chem. Phys. 66, 3667 (1977).
4. D. E. Sullivan and M. M. Telo de Gama, in Fluid Interfacial Phenomena, edited by C. A. Croxton (Wiley, New York, 1986), pp. 45, and references therein.
5. I. Schmidt and K. Binder, J. Phys. II (France) 46, 1631 (1985).
6. H. Tang and K. F. Freed, J. Chem. Phys. 94, 1572, 6307 (1991); X. C. Zhang, D. W. Oxtoby, H. Tang, and K. F. Freed, J. Chem. Phys. 96, 4816 (1992).
7. H. Tang and K. F. Freed, J. Chem. Phys. 94, 1572, 6307 (1991); X. C. Zhang, D. W. Oxtoby, H. Tang, and K. F. Freed, J. Chem. Phys. 96, 4816 (1992).
8. I. Carmesin and J. Noolandi, Macromolecules 22, 1689 (1989).
9. J. S. Wang and K. Binder, J. Chem. Phys. 94, 8537 (1991).
10. G. G. Pereira and J. S. Wang, J. Chem. Phys. 104, 5294 (1996).
11. R. J. Roe, Macromolecules 19, 728 (1986); D. Broseta, G. H. Fredrickson, E. Helfand, and L. Leibler, ibid. 23, 132 (1990).
12. R. J. Roe, Macromolecules 19, 728 (1986); D. Broseta, G. H. Fredrickson, E. Helfand, and L. Leibler, ibid. 23, 132 (1990).
13. R. A. L. Jones, E. J. Kramer, M. H. Rafailovich, J. Sokolov, and S. A. Schwarz, Mater. Res. Soc. Symp. Proc. 153, 133 (1990).
14. S. M. Cohen and M. Muthukumar, J. Chem. Phys. 90, 5749 (1989).
15. X. Zhao, W. Zhao, J. Sokolov, M. H. Rafailovich, S. A. Schwarz, B. J. Wilkens, R. A. L. Jones, and E. J. Kramer, Macromolecules 24, 5991 (1991); J. Genzer and R. J. Composto, Europhys. Lett. (submitted).
16. X. Zhao, W. Zhao, J. Sokolov, M. H. Rafailovich, S. A. Schwarz, B. J. Wilkens, R. A. L. Jones, and E. J. Kramer, Macromolecules 24, 5991 (1991); J. Genzer and R. J. Composto, Europhys. Lett. (submitted).
17. K. R. Shull, in Physics of Polymer Surfaces and Interfaces, edited by I. C. Sanchez (Butterworth-Heinemann, London, 1992), pp. 203; Handbook of Modem Ion Beam Analysis, edited by J. R. Tesmer and M. Nastasi (Materials Research Society, Pittsburgh, 1995).
18. K. R. Shull, in Physics of Polymer Surfaces and Interfaces, edited by I. C. Sanchez (Butterworth-Heinemann, London, 1992), pp. 203; Handbook of Modem Ion Beam Analysis, edited by J. R. Tesmer and M. Nastasi (Materials Research Society, Pittsburgh, 1995).
19. T. P. Russell, Mater. Sci. Rep. 5, 171 (1990).
20. L. J. Norton, E. J. Kramer, F. S. Bates, M. D. Gehlsen, R. A. L. Jones, A. Karim, G. P. Felcher, and R. Kleb, Macromolecules 28, 8621 (1995).
21. M. Schick, in Liquides aux Interfaces/Liquids at Interfaces, edited by J. Charvolin, J. F. Joanny, and J. Zinn-Justin (Elsevier, Amsterdam. 1990), pp. 415.
22. J. Genzer, A. Faldi, and R. J. Composto, Phys. Rev. E 50, 2373 (1994).
23. K. M. Hong and J. Noolandi, Macromolecules 14, 727 (1981).
24. K. R. Shull and E. J. Kramer, Macromolecules 23, 4769 (1990).
25. K. R. Shull, Macromolecules 26, 2346 (1993).
26. K. R. Shull, J. Chem. Phys. 94, 5723 (1991); Macromolecules 25, 2122 (1992).
27. K. R. Shull, J. Chem. Phys. 94, 5723 (1991); Macromolecules 25, 2122 (1992).
28. S. F. Edwards, Proc. Phys. Soc. London 85, 613 (1965).
29. ∞Δw(x)dx.
30. 7 only first order wetting transitions take place for g≥0.
31. As shown in the Appendix, the thickness of the layer for the complete wetting case depends on the original position of the layer chosen at the beginning of each simulation.
32. 1 and z* to change discontinuously (continuously) as the transition point is approached. In several cases [cf. Figs. 4(a) and 4(b)] these conditions are not met simultaneously and therefore the order of the transition is ambiguous.
33. c), respectively.
34. K. Ragil, J. Meunier, D. Broseta, J. O. Indekeu, and D. Bonn, Phys. Rev. Lett. 77, 1532 (1996).
35. C. Franck (personal communication).
36. When the interface between the wet and nonwet states for complete wetting is close to the surface, the polymer volume fraction profiles are indeterminate.