Lattice model of living polymerization. I. Basic thermodynamic properties

Journal of Chemical Physics

Volumn 111, Issue 15, 1999, Pages 7116-7130

  Dudowicz, Jacek ^a   Freed, Karl F ^a   Douglas, Jack F ^b  

^a UNIVERSITY OF CHICAGO   (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000130036     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.480004     Document Type: Article

References (104)

1. O. W. Webster, Science 25, 887 (1991).
2. S. C. Greer, J. Phys. Chem. B 102, 5413 (1998). See this reference for a review of living polymerization and for a fairly complete list of references to this field.
3. S. C. Greer, Adv. Chem. Phys. 94, 261 (1996).
4. J. Dudowicz and K. F. Freed, Macromolecules 24, 5076 (1991).
5. K. W. Foreman and K. F. Freed, Adv. Chem. Phys. 103, 335 (1998).
6. M. Szwarc, M. Levy, and R. Milkovich, J. Am. Chem. Soc. 78, 2656 (1956).
7. A. V. Tobolsky and A. Eisenberg, J. Am. Chem. Soc. 81, 780 (1959); see also, G. Gee, Trans. Faraday Soc. 48, 515 (1952).
8. A. V. Tobolsky and A. Eisenberg, J. Am. Chem. Soc. 81, 780 (1959); see also, G. Gee, Trans. Faraday Soc. 48, 515 (1952).
9. R. Scott, J. Phys. Chem. 69, 261 (1965).
10. A. Eisenberg and A. V. Tobolsky J. Polym. Sci. 46, 19 (1960); see also, G. Faivre and J. Gardissat, Macromolecules 19, 1988 (1986).
11. A. Eisenberg and A. V. Tobolsky J. Polym. Sci. 46, 19 (1960); see also, G. Faivre and J. Gardissat, Macromolecules 19, 1988 (1986).
12. M. Szwarc, Carbanions, Living Polymers and Electron Transfer Processes (Wiley, New York, 1968).
13. J. C. Wheeler, S. J. Kennedy, and P. Pfeuty, Phys. Rev. Lett. 45, 1748 (1980).
14. J. C. Wheeler and P. Pfeuty, Phys. Rev. A 24, 1050 (1981).
15. J. C. Wheeler and P. Pfeuty, J. Chem. Phys. 74, 6415 (1981).
16. J. C. Wheeler and P. Pfeuty, Phys. Rev. Lett. 46, 1409 (1981).
17. J. C. Wheeler, Phys. Rev. Lett. 53, 174 (1984).
18. S. J. Kennedy and J. C. Wheeler, J. Chem. Phys. 78, 1523 (1983).
19. S. J. Kennedy and J. C. Wheeler, J. Phys. Chem. 88, 1040 (1984).
20. S. J. Kennedy and J. C. Wheeler, J. Chem. Phys. 78, 953 (1983).
21. A. Milchev, Polymer 34, 362 (1993).
22. Y. Rouault and A. Milchev, Phys. Rev. E 51, 5905 (1995).
23. A. Milchev and D. P. Landau, Phys. Rev. E 52, 6431 (1995).
24. A. Milchev and D. P. Landau, J. Chem. Phys. 104, 9161 (1996).
25. J. P. Wittmer, A. Milchev, and M. E. Cates, Europhys. Lett. 41, 291 (1998).
26. M. E. Cates and S. J. Candau, J. Phys.: Condens. Matter 2, 6892 (1990).
27. C. Donati, J. F. Douglas, W. Kob, S. J. Plimpton, P. H. Poole, and S. C. Glotzer, Phys. Rev. Lett. 80, 2338 (1998).
28. S. C. Greer (personal communication).
29. R. Ivkov, J. G. Forbes, and S. C. Greer, J. Chem. Phys. 108, 5599 (1998).
30. P. J. Flory, Proc. R. Soc. London, Ser. A 234, 60 (1956).
31. P. J. Flory, Proc. R. Soc. London, Ser. A 234, 73 (1956).
32. M. G. Bawendi and K. F. Freed, J. Chem. Phys. 86, 3720 (1987).
33. K. F. Freed and M. G. Bawendi, J. Phys. Chem. 93, 2194 (1989).
34. J. Zhuang, A. P. Andrews, and S. C. Greer, J. Chem. Phys. 107, 4705 (1997). Recent measurements by J. Ruiz-Garcia and R. Castillo, ibid. 110, 10657 (1999), of the living polymerization of poly(α-methylstyrene) in tetrahydrofuran suggest the occurrence of ionic-aggregation above the polymerization transition so that the growth of ionic living polymers can have a greater complexity than previously thought.
35. J. Zhuang, A. P. Andrews, and S. C. Greer, J. Chem. Phys. 107, 4705 (1997). Recent measurements by J. Ruiz-Garcia and R. Castillo, ibid. 110, 10657 (1999), of the living polymerization of poly(α-methylstyrene) in tetrahydrofuran suggest the occurrence of ionic-aggregation above the polymerization transition so that the growth of ionic living polymers can have a greater complexity than previously thought.
36. S. S. Das, P. Andrews, and S. C. Greer, J. Chem. Phys. 102, 2951 (1995).
37. P. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1953).
38. G. Ronca and D. Y. Yoon, J. Chem. Phys. 76, 3295 (1982).
39. P. J. Flory, Adv. Polym. Sci. 59, 1 (1984).
40. A. V. Tobolsky, A. Rembaum, and A. Eisenberg, J. Polym. Sci. 45, 345 (1960).
41. F. S. Dainton and K. J. Ivin, Nature (London) 162, 705 (1948).
42. K. F. Freed, J. Dudowicz, and J. Douglas (unpublished).
43. M. A. Floriano, E. Caponetti, and A. Z. Panagiotopoulos, Langmuir 15, 3143 (1999); see also, A. P. Chatterjee and A. Z. Pangiotopoulos, in Computer Simulation Studies in Condensed Matter Physics, edited by D. P. Landau, S. P. Lewis, and H. B. Schüttler (Springer Verlag, Berlin, 1999), Vol. XII.
44. M. A. Floriano, E. Caponetti, and A. Z. Panagiotopoulos, Langmuir 15, 3143 (1999); see also, A. P. Chatterjee and A. Z. Pangiotopoulos, in Computer Simulation Studies in Condensed Matter Physics, edited by D. P. Landau, S. P. Lewis, and H. B. Schüttler (Springer Verlag, Berlin, 1999), Vol. XII.
45. J. N. Israelachvili, Intermolecular and Surface Forces, 2nd ed. (Academic, New York, 1992).
46. P. Schurtenberger and C. Caraco, J. Phys. II 3, 1279 (1993).
47. P. Schurtenberger and C. Caraco, J. Phys. II 4, 305 (1994).
48. G. J. M. Koper, C. Caraco, and P. Schurtenberger, in 25 Years of Non-Equilibrium Thermodynamics, edited by J. J. Brey, J. Marro, J. M. Rubi, and M. San Miguel (Springer-Verlag, Berlin, 1995), p. 363.
49. P. Schurtenberger, C. Caraco, F. Tiberg, and O. Regev, Langmuir 12, 2894 (1996).
50. V. G. Vaks, A. I. Larkin, and S. A. Pikin, Sov. Phys. JETP 24, 240 (1967).
51. C. A. Angell, Science 67, 1924 (1995). The relative magnitude of the specific heat near the glass transition has been utilized as a measure of the "strength" of glass transition, and we introduce this terminology to the living polymerization problem because of the similarities between these phenomena.
52. p employs slightly modified values of Δh= - 35.2 kJ/mol and Δs = - 107.5 J/(mol K).
53. S. Kumar and A. Z. Panagiotopoulos, Phys. Rev. Lett. 82, 5060 (1999).
54. J. Ruiz-Garcia, E. M. Anderson, and S. C. Greer, J. Phys. Chem. 93, 6980 (1989).
55. K. M. Zheng, S. G. Greer, L. Rene Corrales, and J. Ruiz-Garcia, J. Chem. Phys. 98, 9873 (1993).
56. M. A. Anisimov, and S. B. Kiselev, J. Sengers, and S. Tang, Physica A 188, 487 (1992); see also, V. L. Ginzburg, Sov. Phys. Solid State 2, 1824 (1960).
57. M. A. Anisimov, and S. B. Kiselev, J. Sengers, and S. Tang, Physica A 188, 487 (1992); see also, V. L. Ginzburg, Sov. Phys. Solid State 2, 1824 (1960).
58. W. Kauzmann, Chem. Rev. 43, 219 (1948); see also Ref. 47.
59. S. S. Das, J. Zhuang, A. P. Andrews, S. C. Greer, C. M. Guttman, and W. Blair, J. Chem. Phys. (submitted).
60. S. Burlacu, P. A. Jammey, and J. Borejdo, Am. J. Physiol. 262, C569 (1992).
61. L. Schäfer and T. A. Witten, J. Chem. Phys. 66, 2121 (1977).
62. K. F. Freed, Renormalization Theory of Macromolecules (Wiley, New York, 1987).
63. G. Adam and J. H. Gibbs, J. Chem. Phys. 43, 139 (1965).
64. V. P. Privalko, J. Phys. Chem. 84, 3307 (1980).
65. H. Tan, A. Moet, A. Hiltner, and E. Baer, Macromolecules 16, 28 (1983).
66. A. Coniglio, H. E. Stanley, and W. Klein, Phys. Rev. Lett. 62, 2759 (1979).
67. A. Coniglio, H. E. Stanley, and W. Klein, Phys. Rev. B 25, 6805 (1982).
68. S. Kumar (unpublished).
69. F. Oosawa, S. Asakura, K. Hotta, N. Imai, and T. Ooi, J. Polym. Sci. 37, 323 (1959).
70. F. Oosawa and S. Asakura, Thermodynamics in the Polymerization of Proteins (Academic, New York, 1975).
71. H. S. Frank and M. W. Evans, J. Chem. Phys. 13, 507 (1945).
72. C. Tanford, The Hydrophobic Effect (Wiley, New York, 1980).
73. M. Stone and P. R. Thomas, Phys. Rev. Lett. 41, 351 (1978).
74. T. Banks, R. Myerson, and J. Kogut, Nucl. Phys. B 129, 493 (1977).
75. A. M. Polyakov, Nucl. Phys. B 120, 429 (1977).
76. C. Dasgupta and B. I. Halperin, Phys. Rev. Lett. 47, 1556 (1981).
77. M. Lau and C. Dasgupta, J. Phys. A 21, 50 (1988).
78. W. Janke and H. Kleinert, Phys. Lett. A 128, 463 (1988).
79. G. Kohring, R. E. Shrock, and P. Willis, Phys. Rev. Lett. 57, 1358 (1986).
80. J. Toner, Phys. Rev. B 26, 462 (1982).
81. C. Dasgupta, Phys. Rev. A 27, 1262 (1983).
82. I. Chuang, R. Durrer, N. Turok, and B. Yurke, Science 251, 1336 (1991).
83. R. Cordery, Phys. Rev. Lett. 47, 457 (1981).
84. M. B. Hindmarsh and T. W. B. Kibble, Rep. Prog. Phys. 58, 477 (1995).
85. G. Toulouse, Commun. Phys. 2, 115 (1977).
86. J. Villain, J. Phys. C 11, 745 (1978).
87. W. Helfrisch, J. Phys. (France) 44, 13 (1983).
88. R. P. Feynman, Phys. Rev. 90, 1116 (1953).
89. R. P. Feynman, Phys. Rev. 91, 1291 (1953).
90. R. P. Feynman, Phys. Rev. 94, 262 (1954).
91. A. Süto, J. Phys. A 26, 4689 (1993).
92. J. H. Akao, Phys. Rev. E 53, 6048 (1996).
93. D. M. Ceperley and E. L. Pollock, Phys. Rev. B 39, 2084 (1989).
94. G. Williams, Phys. Rev. Lett. 59, 1926 (1987).
95. G. Williams, J. Low Temp. Phys. 89, 91 (1992).
96. G. Williams, J. Low Temp. Phys. 82, 1201 (1999).
97. S. R. Shenoy, Phys. Rev. B 40, 5056 (1989).
98. F. Lund, A. Reisenegger, and C. Utreras, Phys. Rev. B 41, 155 (1990).
99. K. Tanaka, Phys. Rev. E 50, 3401 (1994).
100. A. Czirok, I. C. E. Ben-Jacob, and T. Vicsek, Phys. Rev. E 54, 1791 (1996).
101. A. J. Chorin, Vorticity and Turbulence (Springer-Verlag, New York, 1994).
102. A. J. Chorin and O. H. Hald, Phys. Rev. B 51, 11969 (1995).
103. D. Chandler and P. G. Wolynes, J. Chem. Phys. 74, 4078 (1981).
104. P. A. O'Connell and G. McKenna, J. Chem. Phys. 110, 11054 (1999).