Equilibrium polymerization in the Stockmayer fluid as a model of supermolecular self-organization

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 3, 2005, Pages

  Van Workum, Kevin ^a   Douglas, Jack F ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIPOLAR ENERGY; HEAD-TO-TAIL ALIGNMENT; SELF-ORGANIZING FLUIDS; STOCKMAYER FLUIDS;

COMPUTER SIMULATION; ENTHALPY; INTEGRATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PHASE SEPARATION; POLYMERIZATION; SPECIFIC HEAT; VAN DER WAALS FORCES;

MOLECULAR DYNAMICS;

EID: 41349096062     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.031502     Document Type: Article

References (119)

1. D. Philp and J. F. Stoddart, Angew. Chem., Int. Ed. Engl. 35, 1155 (1996).
2. J. S. Moore, Curr. Opin. Colloid Interface Sci. 4, 108 (1999).
3. J. M. Lehn, Supramolecular Chemistry (VCH, Weinheim, 1995).
4. A. P. Alivisatos, K. P. Johnsson, X. G. Peng, T. E. Wilson, C. J. Loweth, M. P. Bruchez, and P. G. Schultz, Nature (London) 382, 609 (1996).
5. J. H. K. K. Hirschberg, L. Brunsveld, A. Ramzi, J. A. J. M. Vekemans, R. P. Sijbesma, and E. W. Meljer, Nature (London) 407, 167 (2000).
6. C. E. Flynn, S. W. Lee, B. R. Peele, and A. M. Belcher, Acta Mater. 51, 5867 (2003).
7. B. J. de Gans, S. Wiegand, E. R. Zubarev, and S. I. Stupp, J. Phys. Chem. B 106, 9730 (2002); S. I. Stupp, S. Son, H. C. Lin, and L. S. Li, Science 259, 59 (1993); S. I. Stupp, V. LeBonheur, K. Walker, L. S. Li, K. E. Huggins, M. Keser, and A. Amstutz, ibid. 276, 384 (1997).
8. B. J. de Gans, S. Wiegand, E. R. Zubarev, and S. I. Stupp, J. Phys. Chem. B 106, 9730 (2002); S. I. Stupp, S. Son, H. C. Lin, and L. S. Li, Science 259, 59 (1993); S. I. Stupp, V. LeBonheur, K. Walker, L. S. Li, K. E. Huggins, M. Keser, and A. Amstutz, ibid. 276, 384 (1997).
9. B. J. de Gans, S. Wiegand, E. R. Zubarev, and S. I. Stupp, J. Phys. Chem. B 106, 9730 (2002); S. I. Stupp, S. Son, H. C. Lin, and L. S. Li, Science 259, 59 (1993); S. I. Stupp, V. LeBonheur, K. Walker, L. S. Li, K. E. Huggins, M. Keser, and A. Amstutz, ibid. 276, 384 (1997).
10. C. A. Mirkin, R. L. Letsinger, R. C. Mucic, and J. J. Storhoff, Nature (London) 382, 607 (1996).
11. R. P. Sijbesma, F. H. Beijer, L. Brunsveld, B. J. B. Folmer, J. H. K. K. Hirschberg, R. F. M. Lange, J. K. L. Lowe, and E. W. Meijer, Science 278, 1601 (1997).
12. A. K. Boal, F. Ilhan, J. E. DeRouchey, T. Thurn-Albrecht, T. P. Russell, and V. M. Rotello, Nature (London) 404, 746 (2000).
13. J. Dudowicz, K. F. Freed, and J. F. Douglas, J. Chem. Phys. 113, 434 (2000).
14. J. Dudowicz, K. F. Freed, and J. F. Douglas, J. Chem. Phys. 112, 1002 (2000).
15. J. Dudowicz, K. F. Freed, and J. F. Douglas, J. Chem. Phys. 119, 12 645 (2003).
16. J. T. Kindt and W. M. Gelbart, J. Chem. Phys. 114, 1432 (2001).
17. J. Herzfeld, Acc. Chem. Res. 29, 31 (1996).
18. W. H. Stockmayer, J. Chem. Phys. 9, 383 (1941).
19. P. Terech and R. G. Weiss, Chem. Rev. (Washington, D.C.) 97, 3133 (1997).
20. P. Terech, C. Rossat, and F. Volino, J. Colloid Interface Sci. 227, 363 (2000).
21. P. Terech, Ber. Bunsenges. Phys. Chem. 102, 1630 (1998).
22. J. S. Rowlinson, Trans. Faraday Soc. 45, 974 (1949); J. Chem. Phys. 19, 827 (1951); 19, 831 (1951).
23. J. S. Rowlinson, Trans. Faraday Soc. 45, 974 (1949); J. Chem. Phys. 19, 827 (1951); 19, 831 (1951).
24. J. S. Rowlinson, Trans. Faraday Soc. 45, 974 (1949); J. Chem. Phys. 19, 827 (1951); 19, 831 (1951).
25. D. E. Stogryn, J. Chem. Phys. 50, 4967 (1969).
26. C. H. J. Johnson and T. H. Spurling, Aust J. Chem. 24, 1567 (1971).
27. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley, New York, 1954).
28. M. E. vanLeeuwen and B. Smit, Phys. Rev. Lett. 71, 3991 (1993).
29. M. J. Stevens and G. S. Grest, Phys. Rev. E 51, 5962 (1995).
30. P. C. Jordan, Mol. Phys. 25, 961 (1973).
31. P. G. de Gennes and P. A. Pincus, Phys. Kondens. Mater. 11, 189 (1970).
32. J. M. Tavares, M. M. TelodaGama, and M. A. Osipov, Phys. Rev. E 56, R6252 (1997).
33. P. I. C. Teixeira, J. M. Tavares, and M. M. T. da Gama, J. Phys.: Condens. Matter 12, R411 (2000).
34. J. Dudowicz, K. F. Freed, and J. F. Douglas, Phys. Rev. Lett. 92, 045502 (2004).
35. A. P. Philipse and D. Maas, Langmuir 18, 9977 (2002).
36. K. Butter, P. H. H. Bomans, P. M. Frederik, G. J. Vroege, and A. P. Philipse, Nat Mater. 2, 88 (2003).
37. V. F. Puntes, K. M. Krishnan, and A. P. Alivisatos, Science 291, 2115 (2001).
38. D. J. Pochan, J. P. Schneider, J. Kretsinger, B. Ozbas, K. Rajagopal, and L. Haines, J. Am. Chem. Soc. 125, 11 802 (2003).
39. B. Tripišová and J. A. Brown, Int. J. Mod. Phys. B 12, 543 (1998).
40. J. O. Hirschfelder, F. T. McClure, and I. F. Weeks, J. Chem. Phys. 10, 201 (1942).
41. J. D. Lambert, G. A. H. Roberts, J. S. Rowlinson, and V. J. Wilkinson, Proc. R. Soc. London, Ser. A 196, 8 (1949).
42. E. A. Alexander and J. D. Lambert, Trans. Faraday Soc. 37, 421 (1941).
43. K. Pitzer, J. Am. Chem. Soc. 77, 3427 (1955).
44. R. E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, 1985).
45. Magnetic Fluids and Applications Handbook, edited by B. Berkovski and V. Bashtovoy (Begell House, Inc., New York, 1996).
46. D. Wei and G. N. Patey, Phys. Rev. Lett. 68, 2043 (1992).
47. J. C. Shelley and G. N. Patey, J. Chem. Phys. 103, 8299 (1995).
48. J. M. Romero-Enrique, L. F. Rull, and A. Z. Panagiotopoulos, Phys. Rev. E 66, 041204 (2002).
49. S. C. McGrother and G. Jackson, Phys. Rev. Lett. 76, 4183 (1996).
50. R. vanRoij, Phys. Rev. Lett. 76, 3348 (1996).
51. R. P. Sear, Phys. Rev. Lett. 76, 2310 (1996).
52. M. A. Osipov, P. I. C. Teixeira, and M. M. TelodaGama, Phys. Rev. E 54, 2597 (1996).
53. J. M. Tavares, J. J. Weis, and M. M. TelodaGama, Phys. Rev. E 65, 061201 (2002).
54. M. E. Cates and S. J. Candau, J. Phys.: Condens. Matter 2, 6869 (1990).
55. T. Tlusty and S. A. Safran, Science 290, 1328 (2000).
56. H. B. Lavender, K. A. Iyer, and S. J. Singer, J. Chem. Phys. 101, 7856 (1994).
57. T. Banks, R. Myerson, and J. Kogut, Nucl. Phys. B 129, 493 (1977).
58. C. Dasgupta and B. I. Halperin, Phys. Rev. Lett. 47, 1556 (1981).
59. J. Toner, Phys. Rev. B 26, R462 (1982).
60. A. Z. Panagiotopoulos, J. Chem. Phys. 109, 10 914 (1998).
61. J. T. Kindt, J. Phys. Chem. B 106, 8223 (2002).
62. C. C. Chen and E. E. Dormidontova, Macromolecules 37, 3905 (2004).
63. J. C. Shelley, G. N. Patey, D. Levesque, and J. J. Weis, Phys. Rev. E 59, 3065 (1999).
64. B. Chen and J. I. Siepmann, J. Phys. Chem. B 105, 11 275 (2001).
65. U. H. E. Hansmann, Chem. Phys. Lett. 281, 140 (1997).
66. M. G. Wu and M. W. Deem, Mol. Phys. 97, 559 (1999).
67. F. Wang and D. P. Landau, Phys. Rev. Lett. 86, 2050 (2001).
68. R. Faller and J. J. de Pablo, J. Chem. Phys. 119, 4405 (2003).
69. T. Liu, V. M. Nace, and B. Chu, Langmuir 15, 3109 (1999).
70. Z. K. Zhou, B. Chu, and V. M. Nace, Langmuir 12, 5016 (1996).
71. M. A. Floriano, E. Caponetti, and A. Z. Panagiotopoulos, Langmuir 15, 3143 (1999).
72. J. W. Zhuang, A. P. Andrews, and S. C. Greer, J. Chem. Phys. 107, 4705 (1997).
73. P. S. Niranjan, P. B. Yim, J. G. Forbes, S. C. Greer, J. Dudowicz, K. F. Freed, and J. F. Douglas, J. Chem. Phys. 119, 4070 (2003).
74. A. G. Kalampounias, K. S. Andrikopoulos, and S. N. Yannopoulos, J. Chem. Phys. 118, 8460 (2003).
75. F. W. Starr, J. F. Douglas, and S. C. Glotzer, J. Chem. Phys. 119, 1777 (2003).
76. J. E. Eldridge and J. D. Ferry, J. Phys. Chem. 58, 992 (1954).
77. H. M. Tan, A. Moet, A. Hiltner, and E. Baer, Macromolecules 16, 28 (1983).
78. S. Mal, P. Maiti, and A. K. Nandi, Macromolecules 28, 2371 (1995).
79. A. Coniglio, H. E. Stanley, and W. Klein, Phys. Rev. Lett. 42, 518 (1979).
80. F. Tanaka and A. Matsuyama, Phys. Rev. Lett. 62, 2759 (1989).
81. S. K. Kumar and J. F. Douglas, Phys. Rev. Lett. 87, 188301 (2001).
82. M. C. Grant and W. B. Russel, Phys. Rev. E 47, 2606 (1993).
83. C. J. Rueb and C. F. Zukoski, J. Rheol. 41, 197 (1997).
84. H. Verduin and J. K. G. Dhont, J. Colloid Interface Sci. 172, 425 (1995).
85. S. C. Greer, J. Phys. Chem. B 102, 5413 (1998).
86. S. C. Greer, Adv. Chem. Phys. 94, 261 (1996).
87. J. Dudowicz, K. F. Freed, and J. F. Douglas, J. Chem. Phys. 111, 7116 (1999).
88. The estimated uncertainty is referred to as the "estimated error" and denoted by σ in M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford University Press, New York, 1989), Chap. 6.4.1.
89. F. S. Dainton and K. J. Ivin, Nature (London) 162, 705 (1948).
90. J. Dudowicz, K. F. Freed, and J. F. Douglas (unpublished results).
91. I. G. Economou and M. D. Donohue, AIChE J. 37, 1875 (1991).
92. M. S. Wertheim, J. Stat. Phys. 35, 35 (1984); 42, 459 (1986); 42, 477 (1986); J. Chem. Phys. 87, 7323 (1987).
93. M. S. Wertheim, J. Stat. Phys. 35, 35 (1984); 42, 459 (1986); 42, 477 (1986); J. Chem. Phys. 87, 7323 (1987).
94. M. S. Wertheim, J. Stat. Phys. 35, 35 (1984); 42, 459 (1986); 42, 477 (1986); J. Chem. Phys. 87, 7323 (1987).
95. M. S. Wertheim, J. Stat. Phys. 35, 35 (1984); 42, 459 (1986); 42, 477 (1986); J. Chem. Phys. 87, 7323 (1987).
96. A. Milchev and D. P. Landau, Phys. Rev. E 52, 6431 (1995).
97. J. P. Wittmer, A. Milchev, and M. E. Cates, J. Chem. Phys. 109, 834 (1998).
98. P. Schurtenberger, C. Cavaco, F. Tiberg, and O. Regev, Langmuir 12, 2894 (1996).
99. I. S. Jacobs and C. P. Bean, Magnetism (Academic Press, New York, 1963), Vol. 3.
100. K. F. Freed, Renormalization Group Theory of Macromolecules (J. Wiley, New York, 1987).
101. M. Bishop and J. P. J. Michels, J. Chem. Phys. 84, 444 (1986).
102. D. E. Kranbuehl and P. H. Verdier, Macromolecules 25, 2557 (1992).
103. G. Kohring, R. E. Shrock, and P. Wills, Phys. Rev. Lett. 57, 1358 (1986).
104. J. H. Akao, Phys. Rev. E 53, 6048 (1996).
105. R. Guida and J. Zinn-Justin, J. Phys. A 31, 8103 (1998).
106. N. K. Kultanov and Y. Lozovik, Phys. Lett. A 223, 189 (1996).
107. J. Kiskis, R. Narayanan, and P. Vranas, J. Stat. Phys. 73, 765 (1993).
108. H. Wennerstrom and B. Lindman, Phys. Rep. 52, 1 (1979).
109. A. Mourchid, A. Delville, J. Lambard, E. Lecolier, and P. Levitz, Langmuir 11, 1942 (1995).
110. M. Dijkstra, J. P. Hansen, and P. A. Madden, Phys. Rev. Lett. 75, 2236 (1995).
111. H. Morawetz, Angew. Chem., Int. Ed. Engl. 26, 93 (1987).
112. W. Burchard, P. Lang, L. Schulz, and T. Coviello, Makromol. Chem., Macromol. Symp. 58, 21 (1992).
113. S. Klapp and F. Forstmann, Phys. Rev. E 60, 3183 (1999).
114. R. M. LyndenBell and J. C. Rasaiah, J. Chem. Phys. 107, 1981 (1997).
115. Q. L. Yan and J. J. de Pablo, Phys. Rev. Lett. 88, 095504 (2002).
116. J. M. Romero-Enrique, G. Orkoulas, A. Z. Panagiotopoulos, and M. E. Fisher, Phys. Rev. Lett. 85, 4558 (2000).
117. S. Bastea, Phys. Rev. E 66, 020801 (R) (2002).
118. Y. Zhang, J. F. Douglas, B. D. Ermi, and E. J. Amis, J. Chem. Phys. 114, 3299 (2001).
119. The interaction energy of the RPM is normally defined in terms of the energy of a positively (ze) and negatively (-ze) charged spherical ion of radius σ in contact. This configuration of charges defines a dipole of moment μ=zeσ, thus defining a relationship between the interaction parameters governing monopole (RPM) and dipolar fluids.