Self-Consistent Field Theory and Its Applications

Soft Matter

Volumn 1, Issue , 2007, Pages 87-178

  Matsen, Mark W ^a  

^a UNIVERSITY OF READING   (United Kingdom)

Author keywords

Approximations; Classical mechanics; Gaussian chain; Mathematical techniques; Polymer blends; Polymer brushes; Polymer melts; Polymer mixtures; Self consistent field theory; Strong stretching theory (SST)

Indexed keywords

EID: 84889386199     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527617050.ch2     Document Type: Chapter

References (88)

1. Almdal, K., Rosedale, J. H., Bates, F. S., Wignall, G. D., and Fredrickson, G. H., 1990, Phys. Rev. Lett. 65, 1112.
2. Ball, R. C., Marko, J. F., Milner, S. T., and Witten, T. A., 1991, Macromolecules 24, 693.
3. Bates, F. S. and Fredrickson, G. H., 1999, Phys. Today 52, 32.
4. Bates, F. S., Rosedale, J. H., Fredrickson, G. H., and Glinka, C. J., 1988, Phys. Rev. Lett. 61, 2229.
5. Bates, F. S., Schulz, M. F., Khandpur, A. K., Förster, S., Rosedale, J. H., Almdal, K., and Mortensen, K., 1994, Faraday Discuss. 98, 7.
6. Brazovskii, S. A., 1975, Sov. Phys. JETP 41, 85.
7. Carrier, G. F., Krook, M., and Pearson, C. E., 1966, Functions of a Complex Variable, Section 6-3. McGraw-Hill, New York.
8. de Gennes, P.-G., 1979, Scaling Concepts in Polymer Physics. Cornell University Press, Ithaca, NY.
9. Düchs, D., Ganesan, V., Fredrickson, G. H., and Schmid, F., 2003, Macromolecules 36, 9237.
10. Edwards, S. F., 1965, Proc. Phys. Soc. London 85, 613.
11. Fetters, L. J., Lohse, D. J., Richter, D., Witten, T. A., and Zirkel, A., 1994, Macromolecules 27, 4639.
12. Feynman, R. P. and Hibbs, A. R., 1965, Quantum Mechanics and Path Integrals. McGraw-Hill, New York.
13. Fredrickson, G. H. and Helfand, E., 1987, J. Chem. Phys. 87, 697.
14. Fredrickson, G. H., Ganesan, V., and Drolet, F., 2002, Macromolecules 35, 16.
15. Ganesan, V. and Fredrickson, G. H., 2001, Europhys. Lett. 55, 814.
16. Gido, S. P. and Thomas, E. L., 1994, Macromolecules 27, 6137.
17. Goldstein, H., 1980, Classical Mechanics, 2nd edn. Addison-Wesley, Reading, MA.
18. Hajduk, D. A., Harper, P. E., Gruner, S. M., Honeker, C. C., Kim, G., Thomas, E. L., and Fetters, L. J., 1994, Macromolecules 27, 4063.
19. Hajduk, D. A., Harper, P. E., Gruner, S. M., Honeker, C. C., Kim, G., Thomas, E. L., and Fetters, L. J., 1995, Macromolecules 28, 2570.
20. Hajduk, D. A., Takenouchi, H., Hillmyer, M. A., Bates, F. S., Vigild, M. E., and Almdal, K., 1997, Macromolecules 30, 3788.
21. Hamley, I. W. and Podneks, V. E., 1997, Macromolecules 30, 3701.
22. Hamley, I. W., Koppi, K. A., Rosedale, J. H., Schulz, M. F., Bates, F. S., Almdal, K., and Mortensen, K., 1993, Macromolecules 26, 5959.
23. Hashimoto, T., Yamasaki, K., Koizumi, S., and Hasegawa, H., 1993, Macromolecules 29, 2895.
24. Hecht, E. and Zajac, A., 1974, Optics. Addison-Wesley, Reading, MA.
25. Helfand, E., 1975, J. Chem. Phys. 62, 999.
26. Henry, N. F. M. and Lonsdale, K. (eds.), 1969, International Tables for X-Ray Crystallography. Kynoch Press, Birmingham.
27. Hong, K. M. and Noolandi, J., 1981, Macromolecules 14, 727.
28. Kudlay, A. and Stepanow, S., 2003, J. Chem. Phys. 118, 4272.
29. Leibler, L., 1980, Macromolecules 13, 1602.
30. Leibler, L., Ajdari, A., Mourran, A., Coulon, G., and Chatenay, D., 1994, in OUMS Conference on Ordering in Macromolecular Systems, eds. A. Teramoto, M. Kobayashi, and T. Norisuje, p. 301. Springer-Verlag, Berlin.
31. Likhtman, A. E. and Semenov, A. N., 1994, Macromolecules 27, 3103.
32. Likhtman, A. E. and Semenov, A. N., 1997, Macromolecules 30, 7273.
33. Likhtman, A. E. and Semenov, A. N., 2000, Europhys. Lett. 51, 307.
34. Matsen, M. W., 1995a, Phys. Rev. Lett. 74, 4225.
35. Matsen, M. W., 1995b, J. Chem. Phys. 103, 3268.
36. Matsen, M. W., 1996, J. Chem. Phys. 104, 7758.
37. Matsen, M. W., 1997, J. Chem. Phys. 107, 8110.
38. Matsen, M. W., 1998, J. Chem. Phys. 108, 785.
39. Matsen, M. W., 1999, J. Chem. Phys. 110, 4658.
40. Matsen, M. W., 2002a, J. Phys.: Condens. Matter 14, R21.
41. Matsen, M. W., 2002b, J. Chem. Phys. 117, 2351.
42. Matsen, M. W., 2003a, Macromolecules 36, 9647.
43. Matsen, M. W., 2003b, Phys. Rev. E 67, 023801.
44. Matsen, M. W., 2004, J. Chem. Phys. 121, 1938.
45. Matsen, M. W. and Bates, F. S., 1996a, Macromolecules 29, 1091.
46. Matsen, M. W. and Bates, F. S., 1996b, Macromolecules 29, 7641.
47. Matsen, M. W. and Bates, F. S., 1997a, J. Polym. Sci.: Part B: Polym. Phys. 35, 945.
48. Matsen, M. W. and Bates, F. S., 1997b, J. Chem. Phys. 106, 2436.
49. Matsen, M. W. and Gardiner, J. M., 2001, J. Chem. Phys. 115, 2794.
50. Matsen, M. W. and Schick, M., 1994a, Phys. Rev. Lett. 72, 2660.
51. Matsen, M. W. and Schick, M., 1994b, Macromolecules 27, 6761.
52. Matsen, M. W. and Schick, M., 1994c, Macromolecules 27, 7157.
53. Matsen, M. W. and Whitmore, M. D., 1996, J. Chem. Phys. 105, 9698.
54. Maurer, W. W., Bates, F. S., Lodge, T. P., Almdal, K., Mortensen, K., and Fredrickson, G. H., 1998, J. Chem. Phys. 108, 2989.
55. Merzbacher, E., 1970, Quantum Mechanics, Chap. 8. Wiley, New York.
56. Milner, S. T., Witten, T. A., and Cates, M. E., 1988, Macromolecules 21, 2610.
57. Morse, D. C. and Fredrickson, G. H., 1994, Phys. Rev. Lett. 73, 3235.
58. Müller, M. and Schmid, F., 2005, Adv. Polym. Sci. 185, 1.
59. Naughton, J. R. and Matsen, M. W., 2002, Macromolecules 35, 5688.
60. Netz, R. R. and Schick, M., 1996, Phys. Rev. Lett. 77, 302.
61. Netz, R. R. and Schick, M., 1998, Macromolecules 31, 172201.
62. Olmsted, P. D. and Milner, S. T., 1998, Macromolecules 31, 4011.
63. Papadakis, C. M., Mortensen, K., and Posselt, D., 1998, Eur. Phys. J. B 4, 325.
64. Rasmussen, K. O. and Kalosakas, G., 2002, J. Polym. Sci.: Part B: Polym. Phys. 40, 1777.
65. Reif, F., 1965, Fundamentals of Statistical and Thermal Physics. McGraw-Hill, New York.
66. Reiter, G. and Khanna, R., 2000, Phys. Rev. Lett. 85, 5599.
67. Sakamoto, N., Hashimoto, T., Han, C. D., Kim, D., and Vaidya, N. Y., 1997, Macromolecules 30, 1621.
68. Schmid, F., 1998, J. Phys.: Condens. Matter 10, 8105.
69. Schulz, M. F., Bates, F. S., Almdal, K., and Mortensen, K., 1994, Phys. Rev. Lett. 73, 86.
70. Semenov, A. N., 1985, Sov. Phys. JETP 61, 733.
71. Semenov, A. N., 1993, Macromolecules 26, 6617; see ref. 21 therein.
72. Sferrazza, M., Xiao, C., Jones, R. A. L., Bucknall, D. G., Webster, J., and Penfold, J., 1997, Phys. Rev. Lett. 78, 1997.
73. Shefelbine, T. A., Vigild, M. E., Matsen, M. W., Hajduk, D. A., Hillmyer, M. A., and Bates, F. S., 1999, J. Am. Chem. Soc. 121, 8457.
74. Shi, A.-C., Noolandi, J., and Desai, R. C., 1996, Macromolecules 29, 6487.
75. Shull, K. R., Mayes, A. M., and Russell, T. P., 1993, Macromolecules 26, 3929.
76. Stepanow, S., 1995, Macromolecules 28, 8233.
77. Takahashi, K. and Yunoki, Y., 1967, J. Phys. Soc. Japan 22, 219.
78. Thomas, E. L., Kinning, D. J., Alward, D. B., and Henkee, C. S., 1987, Nature 334, 598.
79. Thompson, R. B., Rasmussen, K. O., and Lookman, T., 2004, J. Chem. Phys. 120, 31.
80. Vassiliev, O. N. and Matsen, M. W., 2003, J. Chem. Phys. 118, 7700.
81. Vavasour, J. D. and Whitmore, M. D., 1992, Macromolecules 25, 2041.
82. Wang, J. F., Wang, Z.-G., and Yang, Y. L., 2005, Macromolecules 38, 1979.
83. Wang, Z.-G., 1995, Macromolecules 28, 570.
84. Whitmore, M. D. and Vavasour, J. D., 1995, Acta Polym. 46, 341.
85. Wickham, R. A. and Shi, A.-C., 2001, Macromolecules 34, 6487.
86. Yeung, C., Desai, R. C., Shi, A.-C., and Noolandi, J., 1994, Phys. Rev. Lett. 72, 1834.
87. Yeung, C., Shi, A.-C., Noolandi, J., and Desai, R. C., 1996, Macromol. Theory Simul. 5, 291.
88. Zhu, L., Huang, P., Cheng, S. Z. D., Ge, Q., Quirk, R. P., Thomas, E. L., Lotz, B., Wittmann, J.-C., Hsiao, B. S., Yeh, F., and Liu, L., 2001, Phys. Rev. Lett. 86, 6030.