Wetting-layer formation mechanisms of surface-directed phase separation under different quench depths with off-critical compositions in polymer binary mixture

Journal of Chemical Physics

Volumn 126, Issue 6, 2007, Pages

  Yan, Li Tang ^a   Xie, Xu Ming ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; COMPUTER SIMULATION; NUCLEATION; NUMERICAL ANALYSIS; QUENCHING;

CAHN-HILLIARD-COOK THEORY; CHEMICAL POTENTIAL GRADIENT; FLORY-HUGGINS-DE GENNES THEORY;

PHASE SEPARATION;

EID: 33847050212     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2430526     Document Type: Article

References (58)

1. A. J. Bray, Adv. Phys. 0001-8732 10.1080/00018739400101505 43, 357 (1994); H. Furukawa, Adv. Phys. 34, 703 (1983); J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1983), Vol. 8.
2. A. J. Bray, Adv. Phys. 0001-8732 10.1080/00018739400101505 43, 357 (1994); H. Furukawa, Adv. Phys. 34, 703 (1983); J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1983), Vol. 8.
3. A. J. Bray, Adv. Phys. 0001-8732 10.1080/00018739400101505 43, 357 (1994); H. Furukawa, Adv. Phys. 34, 703 (1983); J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1983), Vol. 8.
4. A. Nakai, W. Wang, T. Hashimoto, and A. Blumstein, Macromolecules 0024-9297 10.1021/ma951116w 29, 5288 (1996); V. S. Nikolayev, D. Beysens, and P. Guenoun, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.3144 76, 3144 (1996); H. Tanaka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.1702 72, 1702 (1994); H. Chen and A. Chakrabati, J. Chem. Phys. 108, 6006 (1998).
5. A. Nakai, W. Wang, T. Hashimoto, and A. Blumstein, Macromolecules 0024-9297 10.1021/ma951116w 29, 5288 (1996); V. S. Nikolayev, D. Beysens, and P. Guenoun, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.3144 76, 3144 (1996); H. Tanaka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.1702 72, 1702 (1994); H. Chen and A. Chakrabati, J. Chem. Phys. 108, 6006 (1998).
6. A. Nakai, W. Wang, T. Hashimoto, and A. Blumstein, Macromolecules 0024-9297 10.1021/ma951116w 29, 5288 (1996); V. S. Nikolayev, D. Beysens, and P. Guenoun, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.3144 76, 3144 (1996); H. Tanaka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.1702 72, 1702 (1994); H. Chen and A. Chakrabati, J. Chem. Phys. 108, 6006 (1998).
7. A. Nakai, W. Wang, T. Hashimoto, and A. Blumstein, Macromolecules 0024-9297 10.1021/ma951116w 29, 5288 (1996); V. S. Nikolayev, D. Beysens, and P. Guenoun, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.3144 76, 3144 (1996); H. Tanaka, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.72.1702 72, 1702 (1994); H. Chen and A. Chakrabati, J. Chem. Phys. 108, 6006 (1998).
8. I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961).
9. K. Binder and D. Stauffer, Phys. Rev. Lett. 33, 1006 (1974).
10. E. D. Siggia, Phys. Rev. A 20, 595 (1979).
11. For reviews of experimental studies of this problem, see M. Geoghegan and G. Krausch, Prog. Polym. Sci. 0079-6700 10.1016/S0079-6700(02)00080-1 28, 261 (2003). For reviews of numerical simulations of this problem, see S. Puri and H. L. Frisch, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/9/10/003 9, 2109 (1997); S. Puri, J. Phys.: Condens. Matter 17, R101 (2005).
12. For reviews of experimental studies of this problem, see M. Geoghegan and G. Krausch, Prog. Polym. Sci. 0079-6700 10.1016/S0079-6700(02)00080-1 28, 261 (2003). For reviews of numerical simulations of this problem, see S. Puri and H. L. Frisch, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/9/10/003 9, 2109 (1997); S. Puri, J. Phys.: Condens. Matter 17, R101 (2005).
13. For reviews of experimental studies of this problem, see M. Geoghegan and G. Krausch, Prog. Polym. Sci. 0079-6700 10.1016/S0079-6700(02)00080-1 28, 261 (2003). For reviews of numerical simulations of this problem, see S. Puri and H. L. Frisch, J. Phys.: Condens. Matter 0953-8984 10.1088/0953-8984/9/10/003 9, 2109 (1997); S. Puri, J. Phys.: Condens. Matter 17, R101 (2005).
14. R. A. L. Jones, L. Norton, E. J. Kramer, F. S. Bates, and P. Wiltzius, Phys. Rev. Lett. 66, 1326 (1991).
15. M. Böltau, S. Walheim, J. Mlynek, G. Krausch, and U. Steiner, Nature (London) 0028-0836 10.1038/36075 391, 877 (1998); W. Wang, T. Shiwaku, and T. Hashimoto, Macromolecules 0024-9297 36, 8088 (2003); L. Sung, A. Karim, J. F. Douglas, and C. C. Han, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.4368 76, 4368 (1996); G. Krausch, C.-A. Dai, E. J. Kramer, and F. S. Bates, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.3669 71, 3669 (1993); L. Tsarkova, A. Knoll, G. Krausch, and R. Magerle, Macromolecules 39, 3608 (2006).
16. M. Böltau, S. Walheim, J. Mlynek, G. Krausch, and U. Steiner, Nature (London) 0028-0836 10.1038/36075 391, 877 (1998); W. Wang, T. Shiwaku, and T. Hashimoto, Macromolecules 0024-9297 36, 8088 (2003); L. Sung, A. Karim, J. F. Douglas, and C. C. Han, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.4368 76, 4368 (1996); G. Krausch, C.-A. Dai, E. J. Kramer, and F. S. Bates, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.3669 71, 3669 (1993); L. Tsarkova, A. Knoll, G. Krausch, and R. Magerle, Macromolecules 39, 3608 (2006).
17. M. Böltau, S. Walheim, J. Mlynek, G. Krausch, and U. Steiner, Nature (London) 0028-0836 10.1038/36075 391, 877 (1998); W. Wang, T. Shiwaku, and T. Hashimoto, Macromolecules 0024-9297 36, 8088 (2003); L. Sung, A. Karim, J. F. Douglas, and C. C. Han, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.4368 76, 4368 (1996); G. Krausch, C.-A. Dai, E. J. Kramer, and F. S. Bates, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.3669 71, 3669 (1993); L. Tsarkova, A. Knoll, G. Krausch, and R. Magerle, Macromolecules 39, 3608 (2006).
18. M. Böltau, S. Walheim, J. Mlynek, G. Krausch, and U. Steiner, Nature (London) 0028-0836 10.1038/36075 391, 877 (1998); W. Wang, T. Shiwaku, and T. Hashimoto, Macromolecules 0024-9297 36, 8088 (2003); L. Sung, A. Karim, J. F. Douglas, and C. C. Han, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.4368 76, 4368 (1996); G. Krausch, C.-A. Dai, E. J. Kramer, and F. S. Bates, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.3669 71, 3669 (1993); L. Tsarkova, A. Knoll, G. Krausch, and R. Magerle, Macromolecules 39, 3608 (2006).
19. M. Böltau, S. Walheim, J. Mlynek, G. Krausch, and U. Steiner, Nature (London) 0028-0836 10.1038/36075 391, 877 (1998); W. Wang, T. Shiwaku, and T. Hashimoto, Macromolecules 0024-9297 36, 8088 (2003); L. Sung, A. Karim, J. F. Douglas, and C. C. Han, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.76.4368 76, 4368 (1996); G. Krausch, C.-A. Dai, E. J. Kramer, and F. S. Bates, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.71.3669 71, 3669 (1993); L. Tsarkova, A. Knoll, G. Krausch, and R. Magerle, Macromolecules 39, 3608 (2006).
20. M. Geoghegan, H. Ermer, G. Jüngst, G. Krausch, and R. Brenn, Phys. Rev. E 62, 940 (2000).
21. (a) S. Puri and K. Binder, Phys. Rev. A 1050-2947 10.1103/PhysRevA.46. R4487 46, R4487 (1992); (b) S. Puri and K. Binder, Phys. Rev. E 1063-651X 10.1103/PhysRevE.49.5359 49, 5359 (1994); (c) S. Puri and K. Binder, Phys. Rev. E 56, 6991 (1997).
22. (a) S. Puri and K. Binder, Phys. Rev. A 1050-2947 10.1103/PhysRevA.46. R4487 46, R4487 (1992); (b) S. Puri and K. Binder, Phys. Rev. E 1063-651X 10.1103/PhysRevE.49.5359 49, 5359 (1994); (c) S. Puri and K. Binder, Phys. Rev. E 56, 6991 (1997).
23. (a) S. Puri and K. Binder, Phys. Rev. A 1050-2947 10.1103/PhysRevA.46. R4487 46, R4487 (1992); (b) S. Puri and K. Binder, Phys. Rev. E 1063-651X 10.1103/PhysRevE.49.5359 49, 5359 (1994); (c) S. Puri and K. Binder, Phys. Rev. E 56, 6991 (1997).
24. S. Puri and K. Binder, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.86. 1797 86, 1797 (2001); S. Puri and K. Binder, Phys. Rev. E 66, 061602 (2002).
25. S. Puri and K. Binder, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.86. 1797 86, 1797 (2001); S. Puri and K. Binder, Phys. Rev. E 66, 061602 (2002).
26. J. Xia, J. Wang, Z. Lin, F. Qiu, and Y. Yang, Macromolecules 39, 2247 (2006).
27. L.-T. Yan and X.-M. Xie, Macromolecules 39, 2388 (2006).
28. J. F. Marko, Phys. Rev. E 48, 2861 (1993).
29. S. Toxvaerd, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.5318 83, 5318 (1999); S. K. Das, S. Puri, J. Horbach, and K. Binder, Phys. Rev. Lett. 96, 016107 (2006).
30. S. Toxvaerd, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.83.5318 83, 5318 (1999); S. K. Das, S. Puri, J. Horbach, and K. Binder, Phys. Rev. Lett. 96, 016107 (2006).
31. J. Rysz, Polymer 46, 977 (2005).
32. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 0021-9606 10.1063/1.1744102 28, 258 (1958); J. W. Cahn, J. Chem. Phys. 42, 93 (1965).
33. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. 0021-9606 10.1063/1.1744102 28, 258 (1958); J. W. Cahn, J. Chem. Phys. 42, 93 (1965).
34. H. E. Cook, Acta Metall. 18, 297 (1970).
35. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1971); P. G. de Gennes, J. Chem. Phys. 72, 4756 (1980).
36. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1971); P. G. de Gennes, J. Chem. Phys. 72, 4756 (1980).
37. P. Pincus, J. Chem. Phys. 75, 1996 (1981).
38. K. Binder, J. Chem. Phys. 79, 6387 (1983).
39. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, NY, 1953).
40. I. C. Henderson and N. Clarke, Macromol. Theory Simul. 1022-1344 10.1002/mats.200500027 14, 435 (2005); I. C. Henderson and N. Clarke, Macromolecules 0024-9297 10.1021/ma034718l 37, 1952 (2004); N. Clarke, Phys. Rev. Lett. 89, 215506 (2002).
41. I. C. Henderson and N. Clarke, Macromol. Theory Simul. 1022-1344 10.1002/mats.200500027 14, 435 (2005); I. C. Henderson and N. Clarke, Macromolecules 0024-9297 10.1021/ma034718l 37, 1952 (2004); N. Clarke, Phys. Rev. Lett. 89, 215506 (2002).
42. I. C. Henderson and N. Clarke, Macromol. Theory Simul. 1022-1344 10.1002/mats.200500027 14, 435 (2005); I. C. Henderson and N. Clarke, Macromolecules 0024-9297 10.1021/ma034718l 37, 1952 (2004); N. Clarke, Phys. Rev. Lett. 89, 215506 (2002).
43. S. C. Glotzer, Annu. Rev. Comput. Phys. 2, 1 (1995).
44. J. Genzer and J. Composto, Europhys. Lett. 38, 171 (1997).
45. I. Schmidt and K. Binder, J. Phys. (Paris) 46, 1631 (1985).
46. K. Kawasaki, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1972), Vol. 2; K. Binder and H. L. Frisch, J. Phys. B 84, 403 (1991).
47. K. Kawasaki, in Phase Transition and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, London, 1972), Vol. 2; K. Binder and H. L. Frisch, J. Phys. B 84, 403 (1991).
48. A. Chakrabarti, R. Toral, J. Gunton, and M. Muthukumar, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.63.2072 63, 2072 (1989); G. Brown and A. Chakrabarti, J. Chem. Phys. 98, 2451 (1993).
49. A. Chakrabarti, R. Toral, J. Gunton, and M. Muthukumar, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.63.2072 63, 2072 (1989); G. Brown and A. Chakrabarti, J. Chem. Phys. 98, 2451 (1993).
50. Y. Oono and S. Puri, Phys. Rev. A 1050-2947 10.1103/PhysRevA.38.434 38, 434 (1988); S. Puri and Y. Oono, Phys. Rev. A 38, 1542 (1988).
51. Y. Oono and S. Puri, Phys. Rev. A 1050-2947 10.1103/PhysRevA.38.434 38, 434 (1988); S. Puri and Y. Oono, Phys. Rev. A 38, 1542 (1988).
52. T. Ohta, Y. Enomoto, J. L. Harden, and M. Doi, Macromolecules 26, 4928 (1993).
53. A. Nakai, W. Wang, S. Ogasawara, H. Hasegawa, and T. Hashimoto, Macromolecules 0024-9297 31, 5391 (1996); X. Wang, M. Okada, Y. Matsushita, H. Furukawa, and C. C. Han, Macromolecules 38, 7127 (2005).
54. A. Nakai, W. Wang, S. Ogasawara, H. Hasegawa, and T. Hashimoto, Macromolecules 0024-9297 31, 5391 (1996); X. Wang, M. Okada, Y. Matsushita, H. Furukawa, and C. C. Han, Macromolecules 38, 7127 (2005).
55. M. San Miguel, M. Grant, and J. D. Gunton, Phys. Rev. A 1050-2947 10.1103/PhysRevA.31.1001 31, 1001 (1985); M. Grant and K. R. Elder, Phys. Rev. Lett. 82, 14 (1999).
56. M. San Miguel, M. Grant, and J. D. Gunton, Phys. Rev. A 1050-2947 10.1103/PhysRevA.31.1001 31, 1001 (1985); M. Grant and K. R. Elder, Phys. Rev. Lett. 82, 14 (1999).
57. G. Brown and A. Chacrabarti, Phys. Rev. A 46, 4829 (1992).
58. G. Brown, A. Chacrabarti, and J. F. Marko, Phys. Rev. E 50, 1674 (1994).