Accurate effective pair potentials for polymer solutions

Journal of Chemical Physics

Volumn 114, Issue 9, 2001, Pages 4296-4311

  Bolhuis, P G ^a   Louis, A A ^a   Hansen, J P ^a   Meijer, E J ^b  

^a Department of Chemistry ^*  (United Kingdom)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BINARY MIXTURES; BOUNDARY CONDITIONS; COMPOSITION EFFECTS; COMPUTER SIMULATION; DENSITY (SPECIFIC GRAVITY); INTEGRAL EQUATIONS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MONOMERS; MONTE CARLO METHODS; SOLUTIONS;

POLYMER COILS; SELF-AVOIDING WALK (SAW) POLYMERS;

POLYMERS;

EID: 0035281252     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1344606     Document Type: Article

References (180)

1. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1953).
2. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
3. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
4. J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modeling and Structure (Oxford University Press, Oxford, 1990).
5. A. Y. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
6. M. Doi, Introduction to Polymer Physics (Oxford University Press, Oxford, 1995).
7. H. N. W. Lekkerkerker, W. C. K. Poon, P. N. Pusey, A. Stroobants, and P. B. Warren, Europhys. Lett. 20, 559 (1992).
8. E. J. Meijer and D. Frenkel, Phys. Rev. Lett. 67, 1110 (1991); J. Chem. Phys. 100, 6873 (1994).
9. E. J. Meijer and D. Frenkel, Phys. Rev. Lett. 67, 1110 (1991); J. Chem. Phys. 100, 6873 (1994).
10. R. Dickman and A. Yethiraj, J. Chem. Phys. 100, 4683 (1994).
11. S. M. Ilett, A. Orrock, W. C. K. Poon, and P. N. Pusey, Phys. Rev. E 51, 1344 (1995).
12. Y. N. Ohshima et al., Phys. Rev. Lett. 78, 3963 (1997).
13. R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998); Macromolecules 33, 177 (2000).
14. R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998); Macromolecules 33, 177 (2000).
15. A. Moussaid, W. C. K. Poon, P. N. Pusey, and M. F. Soliva, Phys. Rev. Lett. 82, 225 (1999).
16. W. C. K. Poon et al., Phys. Rev. Lett. 83, 1239 (1999).
17. C. Bechinger, D. Rudhardt, P. Leiderer et al., Phys. Rev. Lett. 83, 3960 (1999).
18. A. Weiss, K. D. Hörner, and M. Ballauff, J. Colloid Interface Sci. 213, 417 (1999).
19. A. M. Kulkarni, A. P. Chatterjee, K. S. Schweizer, and C. F. Zukoski, Phys. Rev. Lett. 83, 4554 (1999).
20. A. Hanke, E. Eisenriegler, and S. Dietrich, Phys. Rev. E 59, 6853 (1999).
21. A. A. Louis, R. Finken, and J. P. Hansen, Europhys. Lett. 46, 741 (1999), M. Dijkstra, J. Brader, and R. Evans, J. Phys.: Condens. Matter 11, 10079 (1999); M. Fuchs and K. S. Schweizer, Europhys. Lett. 51, 621 (2000).
22. A. A. Louis, R. Finken, and J. P. Hansen, Europhys. Lett. 46, 741 (1999), M. Dijkstra, J. Brader, and R. Evans, J. Phys.: Condens. Matter 11, 10079 (1999); M. Fuchs and K. S. Schweizer, Europhys. Lett. 51, 621 (2000).
23. A. A. Louis, R. Finken, and J. P. Hansen, Europhys. Lett. 46, 741 (1999), M. Dijkstra, J. Brader, and R. Evans, J. Phys.: Condens. Matter 11, 10079 (1999); M. Fuchs and K. S. Schweizer, Europhys. Lett. 51, 621 (2000).
24. E. H. A. de Hoog, H. N. W. Lekkerkerker, J. Schulz, and G. H. Findenegg, J. Phys. Chem. B 103, 10657 (1999).
25. J. M. Brader and R. Evans, Europhys. Lett. 49, 678 (2000).
26. R. Tuinier, J. K. G. Dhont, and C. G. De Kruijf, Langmuir 16, 1497 (2000).
27. P. J. Flory and W. R. Krigbaum, J. Chem. Phys. 18, 1086 (1950).
28. S. Asakura and F. Oosawa, J. Polym. Sci., Polym. Symp. 33, 183 (1958); A. Vrij, Pure Appl. Chem. 48, 471 (1976).
29. S. Asakura and F. Oosawa, J. Polym. Sci., Polym. Symp. 33, 183 (1958); A. Vrij, Pure Appl. Chem. 48, 471 (1976).
30. S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
31. F. K. R. Li-In-On, B. Vincent, and F. A. Waite, ACS Symp. Ser. 9, 165 (1975).
32. A. A. Louis, P. G. Bolhuis, J. P. Hansen, and E. J. Meijer, Phys. Rev. Lett. 85, 2522 (2000).
33. M. Murat and K. Kremer, J. Chem. Phys. 108, 4340 (1998).
34. I. Carmesin and K. Kremer, Macromolecules 21, 2819 (1988).
35. J. Dautenhahn and Carol K. Hall, Macromolecules 27, 5399 (1994).
36. g). For a discussion favoring a slightly different definition, see p. 593 of Ref. 4.
37. N. Madras and A. D. Sokal, J. Stat. Phys. 50, 109 (1988).
38. D. Frenkel and B. Smit, Understanding Molecular Simulations (Academic, New York, 1995).
39. M. Dijkstra, D. Frenkel, and J. P. Hansen, J. Chem. Phys. 101, 3179 (1994).
40. S. Consta, T. J. H. Vlugt, J. W. Hoeth, B. Smit, and D. Frenkel, Mol. Phys. 97, 1243 (1999).
41. A. Y. Grosberg, P. G. Khalatur, and A. R. Khokhiov, Makromol. Chem., Rapid Commun. 3, 709 (1982).
42. M. Daoud et al., Macromolecules 8, 804 (1975).
43. B. Krüger, L. Schäfer, and A. Baumgärtner, J. Phys. (Paris) 50, 319 (1989).
44. O. F. Olaj, W. Lantschbauer, and K. H. Pelinka, Macromolecules 13, 299 (1980).
45. A. A. Louis, P. Bolhuis, and J. P. Hansen, Phys. Rev. E 62, 7961 (2000).
46. B. Li, N. Madras, and A. Sokal, J. Stat. Phys. 80, 661 (1995).
47. J. F. Douglas and K. F. Freed, Macromolecules 17, 1854 (1984).
48. g because that is the only length scale available, not because the polymers exclude each other in a hardsphere-like fashion, a point which has also been emphasized by L. Schäfer (Refs. 60 and 38).
49. R. L. Henderson, Phys. Lett. A 49, 197 (1974); J. T. Chayes and L. Chayes, J. Stat. Phys. 36, 471 (1984).
50. R. L. Henderson, Phys. Lett. A 49, 197 (1974); J. T. Chayes and L. Chayes, J. Stat. Phys. 36, 471 (1984).
51. L. Reatto, Philos. Mag. A 58, 37 (1986); L. Reatto, D. Levesque, and J. J. Weis, Phys. Rev. A 33, 3451 (1986).
52. L. Reatto, Philos. Mag. A 58, 37 (1986); L. Reatto, D. Levesque, and J. J. Weis, Phys. Rev. A 33, 3451 (1986).
53. R. van Roij and J. P. Hansen, Phys. Rev. Lett. 79, 3082 (1997); H. Graf and H. Löwen, Phys. Rev. E 57, 5744 (1998); R. van Roij, M. Dijkstra, and J. P. Hansen, ibid. 59, 2010 (1999); M. Dijkstra, R. van Roij, and R. Evans, ibid. 59, 5744 (1999).
54. R. van Roij and J. P. Hansen, Phys. Rev. Lett. 79, 3082 (1997); H. Graf and H. Löwen, Phys. Rev. E 57, 5744 (1998); R. van Roij, M. Dijkstra, and J. P. Hansen, ibid. 59, 2010 (1999); M. Dijkstra, R. van Roij, and R. Evans, ibid. 59, 5744 (1999).
55. R. van Roij and J. P. Hansen, Phys. Rev. Lett. 79, 3082 (1997); H. Graf and H. Löwen, Phys. Rev. E 57, 5744 (1998); R. van Roij, M. Dijkstra, and J. P. Hansen, ibid. 59, 2010 (1999); M. Dijkstra, R. van Roij, and R. Evans, ibid. 59, 5744 (1999).
56. R. van Roij and J. P. Hansen, Phys. Rev. Lett. 79, 3082 (1997); H. Graf and H. Löwen, Phys. Rev. E 57, 5744 (1998); R. van Roij, M. Dijkstra, and J. P. Hansen, ibid. 59, 2010 (1999); M. Dijkstra, R. van Roij, and R. Evans, ibid. 59, 5744 (1999).
57. G. Zerah and J. P. Hansen, J. Chem. Phys. 84, 2336 (1986).
58. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
59. Various techniques inspired by liquid state theory have been derived to treat polymers in the regime where monomer packing effects are important. See, e.g., A. Yethiraj and C. E. Woodward, J. Chem. Phys. 102, 5499 (1995), or K. S. Schweizer and J. G. Curro, Adv. Chem. Phys. 98, 1 (1997), and references therein.
60. Various techniques inspired by liquid state theory have been derived to treat polymers in the regime where monomer packing effects are important. See, e.g., A. Yethiraj and C. E. Woodward, J. Chem. Phys. 102, 5499 (1995), or K. S. Schweizer and J. G. Curro, Adv. Chem. Phys. 98, 1 (1997), and references therein.
61. A. Hertanto and R. Dickman, J. Chem. Phys. 89, 7577 (1988).
62. M. G. Bawendi and K. F. Freed, J. Chem. Phys. 88, 2741 (1988).
63. R. J. Hanson, Sandia Laboratory Technical Report No. SAND-78-1291, December, 1978.
64. Parameters for the spline fits to the effective potentials are available from the authors.
65. W. Paul, K. Binder, D. W. Heermann, and K. Kremer, J. Phys. II 1, 37 (1991).
66. F. H. Stillinger, J. Chem. Phys. 65, 3968 (1976).
67. A. Lang, C. N. Likos, M. Watzlawek, and H. Löwen, J. Phys.: Condens. Matter 12, 5087 (2000); C. N. Likos, A. Lang, M. Watzlawek, and H. Löwen, Phys. Rev. E (to be published).
68. A. Lang, C. N. Likos, M. Watzlawek, and H. Löwen, J. Phys.: Condens. Matter 12, 5087 (2000); C. N. Likos, A. Lang, M. Watzlawek, and H. Löwen, Phys. Rev. E (to be published).
69. C. von Ferber et al., Euro. Phys. J. E. 2, 311 (2000).
70. R. Dickman, J. Chem. Phys. 87, 2246 (1987).
71. C. N. Likos, Phys. Rep. (to be published).
72. T. Ohta and Y. Oono, Phys. Lett. 89A, 460 (1982), see also L. Schäfer, Macromolecules 15, 652 (1982).
73. T. Ohta and Y. Oono, Phys. Lett. 89A, 460 (1982), see also L. Schäfer, Macromolecules 15, 652 (1982).
74. See Appendix of Y. Oono, Adv. Chem. Phys. 61, 301 (1985).
75. P. Wiltzius, H. R. Haller, D. S. Cannell, and D. W. Schaefer, Phys. Rev. Lett. 51, 1183 (1983).
76. C. N. Likos et al., Phys. Rev. Lett. 89, 4450 (1998); M. Watzlawek, C. N. Likos, and H. Löwen, ibid. 82, 5289 (1999).
77. C. N. Likos et al., Phys. Rev. Lett. 89, 4450 (1998); M. Watzlawek, C. N. Likos, and H. Löwen, ibid. 82, 5289 (1999).
78. J. van der Gucht, N. A. M. Besseling, J. van Male, and M. A. Cohen Stuart, J. Chem. Phys. 113, 2886 (2000).
79. R. Evans, in Fundamentals of Inhomogeneous Fluids, edited by D. Henderson (Marcel Dekker, New York, 1992).
80. D. E. Sullivan and G. Stell, J. Chem. Phys. 69, 5450 (1978).
81. E. J. Meijer et al. (unpublished).
82. J. F. Joanny, L. Leibler, and P. G. de Gennes, J. Polym. Sci., Polym. Phys. Ed. 17, 1073 (1979).
83. J. Y. Walz and A. Sharma, J. Colloid Interface Sci. 168, 485 (1994); Y. Mao, M. E. Cates, and H. N. W. Lekkerkerker, Physica A 222, 10 (1995); B. Götzelmann, R. Roth, S. Dietrich, M. Dijkstra, and R. Evans, Europhys. Lett. 47, 398 (1999); S. Melchionna and J. P. Hansen, Phys. Chem. Chem. Phys. 2, 3465 (2000).
84. J. Y. Walz and A. Sharma, J. Colloid Interface Sci. 168, 485 (1994); Y. Mao, M. E. Cates, and H. N. W. Lekkerkerker, Physica A 222, 10 (1995); B. Götzelmann, R. Roth, S. Dietrich, M. Dijkstra, and R. Evans, Europhys. Lett. 47, 398 (1999); S. Melchionna and J. P. Hansen, Phys. Chem. Chem. Phys. 2, 3465 (2000).
85. J. Y. Walz and A. Sharma, J. Colloid Interface Sci. 168, 485 (1994); Y. Mao, M. E. Cates, and H. N. W. Lekkerkerker, Physica A 222, 10 (1995); B. Götzelmann, R. Roth, S. Dietrich, M. Dijkstra, and R. Evans, Europhys. Lett. 47, 398 (1999); S. Melchionna and J. P. Hansen, Phys. Chem. Chem. Phys. 2, 3465 (2000).
86. J. Y. Walz and A. Sharma, J. Colloid Interface Sci. 168, 485 (1994); Y. Mao, M. E. Cates, and H. N. W. Lekkerkerker, Physica A 222, 10 (1995); B. Götzelmann, R. Roth, S. Dietrich, M. Dijkstra, and R. Evans, Europhys. Lett. 47, 398 (1999); S. Melchionna and J. P. Hansen, Phys. Chem. Chem. Phys. 2, 3465 (2000).
87. P. Attard, D. R. Bérard, C. P. Ursenbach, and G. N. Patey, Phys. Rev. A 44, 8224 (1991).
88. C. M. Marques and J. F. Joanny, Macromolecules 23, 268 (1990).
89. T. Witten and P. A. Pincus, Macromolecules 19, 2509 (1986).
90. R. Tuinier, G. A. Vliegenthart, and H. N. W. Lekkerkerker, J. Chem. Phys. 113, 10768 (2000).
91. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1953).
92. P. G. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
93. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
94. J. des Cloizeaux and G. Jannink, Polymers in Solution: Their Modeling and Structure (Oxford University Press, Oxford, 1990).
95. A. Y. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
96. M. Doi, Introduction to Polymer Physics (Oxford University Press, Oxford, 1995).
97. H. N. W. Lekkerkerker, W. C. K. Poon, P. N. Pusey, A. Stroobants, and P. B. Warren, Europhys. Lett. 20, 559 (1992).
98. E. J. Meijer and D. Frenkel, Phys. Rev. Lett. 67, 1110 (1991);
99. J. Chem. Phys. 100, 6873 (1994).
100. R. Dickman and A. Yethiraj, J. Chem. Phys. 100, 4683 (1994).
101. S. M. Ilett, A. Orrock, W. C. K. Poon, and P. N. Pusey, Phys. Rev. E 51, 1344 (1995).
102. Y. N. Ohshima et al., Phys. Rev. Lett. 78, 3963 (1997).
103. R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998);
104. Macromolecules 33, 177 (2000).
105. A. Moussaid, W. C. K. Poon, P. N. Pusey, and M. F. Soliva, Phys. Rev. Lett. 82, 225 (1999).
106. W. C. K. Poon et al., Phys. Rev. Lett. 83, 1239 (1999).
107. C. Bechinger, D. Rudhardt, P. Leiderer et al., Phys. Rev. Lett. 83, 3960 (1999).
108. A. Weiss, K. D. Hörner, and M. Ballauff, J. Colloid Interface Sci. 213, 417 (1999).
109. A. M. Kulkarni, A. P. Chatterjee, K. S. Schweizer, and C. F. Zukoski, Phys. Rev. Lett. 83, 4554 (1999).
110. A. Hanke, E. Eisenriegler, and S. Dietrich, Phys. Rev. E 59, 6853 (1999).
111. A. A. Louis, R. Finken, and J. P. Hansen, Europhys. Lett. 46, 741 (1999);
112. M. Dijkstra, J. Brader, and R. Evans, J. Phys.: Condens. Matter 11, 10079 (1999);
113. M. Fuchs and K. S. Schweizer, Europhys. Lett. 51, 621 (2000).
114. E. H. A. de Hoog, H. N. W. Lekkerkerker, J. Schulz, and G. H. Findenegg, J. Phys. Chem. B 103, 10657 (1999).
115. J. M. Brader and R. Evans, Europhys. Lett. 49, 678 (2000).
116. R. Tuinier, J. K. G. Dhont, and C. G. De Kruijf, Langmuir 16, 1497 (2000).
117. P. J. Flory and W. R. Krigbaum, J. Chem. Phys. 18, 1086 (1950).
118. S. Asakura and F. Oosawa, J. Polym. Sci., Polym. Symp. 33, 183 (1958);
119. A. Vrij, Pure Appl. Chem. 48, 471 (1976).
120. S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
121. F. K. R. Li-In-On, B. Vincent, and F. A. Waite, ACS Symp. Ser. 9, 165 (1975).
122. A. A. Louis, P. G. Bolhuis, J. P. Hansen, and E. J. Meijer, Phys. Rev. Lett. 85, 2522 (2000).
123. M. Murat and K. Kremer, J. Chem. Phys. 108, 4340 (1998).
124. I. Carmesin and K. Kremer, Macromolecules 21, 2819 (1988).
125. J. Dautenhahn and Carol K. Hall, Macromolecules 27, 5399 (1994).
126. 3). For a discussion favoring a slightly different definition, see p. 593 of Ref. 4.
127. N. Madras and A. D. Sokal, J. Stat. Phys. 50, 109 (1988).
128. D. Frenkel and B. Smit, Understanding Molecular Simulations (Academic, New York, 1995).
129. M. Dijkstra, D. Frenkel, and J. P. Hansen, J. Chem. Phys. 101, 3179 (1994).
130. S. Consta, T. J. H. Vlugt, J. W. Hoeth, B. Smit, and D. Frenkel, Mol. Phys. 97, 1243 (1999).
131. A. Y. Grosberg, P. G. Khalatur, and A. R. Khokhlov, Makromol. Chem., Rapid Commun. 3, 709 (1982).
132. M. Daoud et al., Macromolecules 8, 804 (1975).
133. B. Krüger, L. Schäfer, and A. Baumgärtner, J. Phys. (Paris) 50, 319 (1989).
134. O. F. Olaj, W. Lantschbauer, and K. H. Pelinka, Macromolecules 13, 299 (1980).
135. A. A. Louis, P. Bolhuis, and J. P. Hansen, Phys. Rev. E 62, 7961 (2000).
136. B. Li, N. Madras, and A. Sokal, J. Stat. Phys. 80, 661 (1995).
137. J. F. Douglas and K. F. Freed, Macromolecules 17, 1854 (1984).
138. 3 because that is the only length scale available, not because the polymers exclude each other in a hardsphere-like fashion, a point which has also been emphasized by L. Schäfer (Refs. 60 and 38).
139. R. L. Henderson, Phys. Lett. A 49, 197 (1974);
140. J. T. Chayes and L. Chayes, J. Stat. Phys. 36, 471 (1984).
141. L. Reatto, Philos. Mag. A 58, 37 (1986);
142. L. Reatto, D. Levesque, and J. J. Weis, Phys. Rev. A 33, 3451 (1986).
143. R. van Roij and J. P. Hansen, Phys. Rev. Lett. 79, 3082 (1997);
144. H. Graf and H. Löwen, Phys. Rev. E 57, 5744 (1998);
145. R. van Roij, M. Dijkstra, and J. P. Hansen, Phys. Rev. E ibid. 59, 2010 (1999);
146. M. Dijkstra, R. van Roij, and R. Evans, Phys. Rev. E ibid. 59, 5744 (1999).
147. G. Zerah and J. P. Hansen, J. Chem. Phys. 84, 2336 (1986).
148. J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
149. Various techniques inspired by liquid state theory have been derived to treat polymers in the regime where monomer packing effects are important. See, e.g., A. Yethiraj and C. E. Woodward, J. Chem. Phys. 102, 5499 (1995),
150. or K. S. Schweizer and J. G. Curro, Adv. Chem. Phys. 98, 1 (1997), and references therein.
151. A. Hertanto and R. Dickman, J. Chem. Phys. 89, 7577 (1988).
152. M. G. Bawendi and K. F. Freed, J. Chem. Phys. 88, 2741 (1988).
153. R. J. Hanson, Sandia Laboratory Technical Report No. SAND-78-1291, December, 1978.
154. Parameters for the spline fits to the effective potentials are available from the authors.
155. W. Paul, K. Binder, D. W. Heermann, and K. Kremer, J. Phys. II 1, 37 (1991).
156. F. H. Stillinger, J. Chem. Phys. 65, 3968 (1976).
157. A. Lang, C. N. Likos, M. Watzlawek, and H. Löwen, J. Phys.: Condens. Matter 12, 5087 (2000);
158. C. N. Likos, A. Lang, M. Watzlawek, and H. Löwen, Phys. Rev. E (to be published).
159. C. von Ferber et al., Euro. Phys. J. E. 2, 311 (2000).
160. R. Dickman, J. Chem. Phys. 87, 2246 (1987).
161. C. N. Likos, Phys. Rep. (to be published).
162. T. Ohta and Y. Oono, Phys. Lett. 89A, 460 (1982),
163. see also L. Schäfer, Macromolecules 15, 652 (1982).
164. See Appendix of Y. Oono, Adv. Chem. Phys. 61, 301 (1985).
165. P. Wiltzius, H. R. Haller, D. S. Cannell, and D. W. Schaefer, Phys. Rev. Lett. 51, 1183 (1983).
166. C. N. Likos et al., Phys. Rev. Lett. 89, 4450 (1998);
167. M. Watzlawek, C. N. Likos, and H. Löwen, Phys. Rev. Lett. ibid. 82, 5289 (1999).
168. J. van der Gucht, N. A. M. Besseling, J. van Male, and M. A. Cohen Stuart, J. Chem. Phys. 113, 2886 (2000).
169. R. Evans, in Fundamentals of Inhomogeneous Fluids, edited by D. Henderson (Marcel Dekker, New York, 1992).
170. D. E. Sullivan and G. Stell, J. Chem. Phys. 69, 5450 (1978).
171. E. J. Meijer et al. (unpublished).
172. J. F. Joanny, L. Leibler, and P. G. de Gennes, J. Polym. Sci., Polym. Phys. Ed. 17, 1073 (1979).
173. J. Y. Walz and A. Sharma, J. Colloid Interface Sci. 168, 485 (1994);
174. Y. Mao, M. E. Cates, and H. N. W. Lekkerkerker, Physica A 222, 10 (1995);
175. B. Götzelmann, R. Roth, S. Dietrich, M. Dijkstra, and R. Evans, Europhys. Lett. 47, 398 (1999);
176. S. Melchionna and J. P. Hansen, Phys. Chem. Chem. Phys. 2, 3465 (2000).
177. P. Attard, D. R. Berard, C. P. Ursenbach, and G. N. Patey, Phys. Rev. A 44, 8224 (1991).
178. C. M. Marques and J. F. Joanny, Macromolecules 23, 268 (1990).
179. T. Witten and P. A. Pincus, Macromolecules 19, 2509 (1986).
180. R. Tuinier, G. A. Vliegenthart, and H. N. W. Lekkerkerker, J. Chem. Phys. 113, 10768 (2000).