Phase separations induced by partial stiffening of semiflexible polymers

Journal of Chemical Physics

Volumn 107, Issue 12, 1997, Pages 4711-4718

  Matsuyama, Akihiko ^a   Sumikawa, Yasuo ^a   Kato, Tadaya ^a  

^a MIE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL BONDS; FREE ENERGY; MATHEMATICAL MODELS; MOLECULAR STRUCTURE; NEMATIC LIQUID CRYSTALS; ORDER DISORDER TRANSITIONS; PHASE SEPARATION;

FLORY-HUGGINS THEORY; ISOTROPIC SOLUTIONS; MAIER-SAUPE MODEL; NEMATIC ORDERING; SEMIFLEXIBLE POLYMERS;

POLYMERS;

EID: 0031234935     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.474832     Document Type: Article

References (51)

1. Liquid Crystals in Complex Geometries, edited by G. P. Crawford and S. Zumer (Taylor Francis, London, 1996).
2. P. J. Flory, Proc. R. Soc. London Ser. A 234, 60 (1956).
3. P. J. Flory, Proc. R. Soc. London Ser. A 234, 73 (1956).
4. P. J. Flory, Macromolecules 11, 1141 (1978).
5. P. J. Flory and G. Ronca, Mol. Cryst. Liq. Cryst. 54, 289 (1979); 54, 311 (1979).
6. P. J. Flory and G. Ronca, Mol. Cryst. Liq. Cryst. 54, 289 (1979); 54, 311 (1979).
7. M. Warner and P. J. Flory, J. Chem. Phys. 73, 6327 (1980).
8. R. R. Matheson and P. J. Flory, Macromolecules 14, 954 (1981).
9. A. R. Khokhlov and A. N. Semenov, J. Stat. Phys. 38, 161 (1985); Macromolecules 15, 1272 (1982); Physica A 108, 546 (1981); 112, 605 (1985).
10. A. R. Khokhlov and A. N. Semenov, J. Stat. Phys. 38, 161 (1985); Macromolecules 15, 1272 (1982); Physica A 108, 546 (1981); 112, 605 (1985).
11. A. R. Khokhlov and A. N. Semenov, J. Stat. Phys. 38, 161 (1985); Macromolecules 15, 1272 (1982); Physica A 108, 546 (1981); 112, 605 (1985).
12. A. R. Khokhlov and A. N. Semenov, J. Stat. Phys. 38, 161 (1985); Macromolecules 15, 1272 (1982); Physica A 108, 546 (1981); 112, 605 (1985).
13. W. G. Miller, K. Tohyama, and V. Voltaggio, J. Polym. Sci. Polym. Symp. 65, 91 (1978).
14. V. T. Rajan and C. W. Woo, Phys. Rev. A 21, 990 (1980).
15. A. ten Bosch, P. Maissa, and P. Sixou, J. Chem. Phys. 79, 3462 (1983).
16. M. Warner, J. M. F. Gunn, and A. B. Baumgartner, J. Phys. A 18, 3007 (1985).
17. X. J. Wang and M. Warner, Liq. Cryst. 12, 385 (1992); J. Phys. A 19, 2215 (1986).
18. X. J. Wang and M. Warner, Liq. Cryst. 12, 385 (1992); J. Phys. A 19, 2215 (1986).
19. J. B. Lagowski and J. Noolandi, Mol. Cryst. Liq. Cryst. 198, 371 (1991).
20. S. V. Vasilenko, A. R. Khokhlov, and V. P. Shibaev, Macromolecules 17, 2270 (1984).
21. Z. Y. Chen, Macromolecules 26, 3419 (1993).
22. A. Takada, T. Fukuda, J. Watanabe, and T. Miyamoto, Macromolecules 28, 3394 (1995).
23. T. Sato and A. Teramoto, Adv. Polym. Sci. 126, 85 (1996).
24. W. Brostow and J. Walasek, J. Chem. Phys. 105, 4367 (1996).
25. G. Sigaud, D. Y. Yoon, and A. C. Griffin, Macromolecules 16, 875 (1983).
26. G. Ronca and D. Y. Yoon, J. Chem. Phys. 83, 373 (1985).
27. J. F. D'Allest, P. Maissa, A. ten Bosch, P. Sixou, A. Blumstein, R. Blumstein, J. Teixeira, and L. Noirez, Phys. Rev. Lett. 28, 2562 (1988).
28. C. Viney, D. Y. Yoon, B. Reck, and H. Ringsdorf, Macromolecules 22, 4088 (1989).
29. V. Arrighi, J. S. Higgins, L. Abis, and R. A. Weiss, Polymer 37, 141 (1996).
30. G. H. Fredrickson and L. Leibler, Macromolecules 23, 531 (1990).
31. A. J. Liu and G. H. Fredrickson, Macromolecules 26, 2817 (1993).
32. B. Kronberg, I. Bassignana, and D. Patterson, J. Phys. Chem. 81, 1714 (1978).
33. A. Dubault, C. Casagrande, M. Veyssie, and B. Deloche, Phys. Rev. Lett. 45, 1645 (1980).
34. F. Brochard, J. Phys. (Paris) 40, 1049 (1979); F. Brochard, J. Jouffroy, and P. Levinson, ibid. 45, 1225 (1984).
35. F. Brochard, J. Phys. (Paris) 40, 1049 (1979); F. Brochard, J. Jouffroy, and P. Levinson, ibid. 45, 1225 (1984).
36. M. Ballauff, Mol. Cryst. Liq. Cryst. 86, 136 (1986).
37. R. Holyst and M. Schick, J. Chem. Phys. 96, 721 (1992).
38. C. Shen and T. Kyu, J. Chem. Phys. 102, 556 (1995).
39. H. W. Chiu and T. Kyu, J. Chem. Phys. 103, 7471 (1995).
40. H. W. Chiu, Z. L. Zhou, T. Kyu, L. G. Cada, and L. C. Chien, Macromolecules 29, 1051 (1996).
41. A. Matsuyama and T. Kato, J. Chem. Phys. 105, 1654 (1996).
42. A. Miyake and R. Chujo, J. Polym. Sci. 83, 163 (1960).
43. M. Go, N. Saito, and M. Ochiai, J. Phys. Soc. Jpn. 22, 227 (1967).
44. P. Pincus and P. G. de Gennes, J. Polym. Sci. Polym. Symp. 65, 85 (1978).
45. Y. H. Kim and P. Pincus, Biopolymer 18, 2315 (1979).
46. P. G. de Gennes and P. Pincus, Polym. Prepr. Am. Chem. Soc. Div. Polym. Chem. 18, 161 (1983).
47. L. Onsager, Ann. N. Y. Acad. Sci. 51, 626 (1949).
48. W. Maier and A. Saupe, Z. Naturforsch. 14a, 882 (1959).
49. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Oxford Scienfitic, London, 1993).
50. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, NY, 1953).
51. 2) is the number of state of a straightened (bent) bond. When the segments are placed on a lattice of coordination number z, we have ω = 1/(z - 2).