Analysis of stability of macromolecular clusters in dilute heteropolymer solutions

Journal of Chemical Physics

Volumn 112, Issue 18, 2000, Pages 8163-8175

  Timoshenko, E G ^a   Kuznetsov, Yu A ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000667942     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.481417     Document Type: Article

References (57)

1. P. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1971); P. G. de Gennes, Scaling Concepts in Polymer Physics, 3rd ed. (Cornell University Press, Ithaca, 1988); M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Science, New York, 1989); J. des Cloizeaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990); A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
2. P. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1971); P. G. de Gennes, Scaling Concepts in Polymer Physics, 3rd ed. (Cornell University Press, Ithaca, 1988); M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Science, New York, 1989); J. des Cloizeaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990); A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
3. P. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1971); P. G. de Gennes, Scaling Concepts in Polymer Physics, 3rd ed. (Cornell University Press, Ithaca, 1988); M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Science, New York, 1989); J. des Cloizeaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990); A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
4. P. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1971); P. G. de Gennes, Scaling Concepts in Polymer Physics, 3rd ed. (Cornell University Press, Ithaca, 1988); M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Science, New York, 1989); J. des Cloizeaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990); A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
5. P. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1971); P. G. de Gennes, Scaling Concepts in Polymer Physics, 3rd ed. (Cornell University Press, Ithaca, 1988); M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Science, New York, 1989); J. des Cloizeaux and G. Jannink, Polymers in Solution (Clarendon, Oxford, 1990); A. Yu. Grosberg and A. R. Khokhlov, Statistical Physics of Macromolecules (AIP, New York, 1994).
6. P. J. Flory, J. Chem. Phys. 9, 660 (1941); M. L. Huggins, ibid. 9, 440 (1941).
7. P. J. Flory, J. Chem. Phys. 9, 660 (1941); M. L. Huggins, ibid. 9, 440 (1941).
8. M. Daoud and G. Jannink, J. Phys. (Paris) 37, 973 (1976); M. Daoud, J. Polym. Sci., Part C: Polym. Symp. 61, 305 (1977).
9. M. Daoud and G. Jannink, J. Phys. (Paris) 37, 973 (1976); M. Daoud, J. Polym. Sci., Part C: Polym. Symp. 61, 305 (1977).
10. A. Yu. Grosberg and D. V. Kuznetsov, Macromolecules 25, 1991 (1992); J. Phys. II 2, 1327 (1992).
11. A. Yu. Grosberg and D. V. Kuznetsov, Macromolecules 25, 1991 (1992); J. Phys. II 2, 1327 (1992).
12. S.-T. Sun, I. Nishio, G. Swislow, and T. Tanaka, J. Chem. Phys. 73, 5971 (1980); M. Meewes, J. Rička, M. de Silva, R. Nyffenegger, and T. Binkert, Macromolecules 24, 5811 (1991); B. Chu, R. Xu, and J. Zhuo, ibid. 21, 273 (1988); H. G. Schild, Prog. Polym. Sci. 17, 163 (1992); S. Fujishige, K. Kubota, and I. Ando, J. Phys. Chem. 93, 3311 (1989).
13. S.-T. Sun, I. Nishio, G. Swislow, and T. Tanaka, J. Chem. Phys. 73, 5971 (1980); M. Meewes, J. Rička, M. de Silva, R. Nyffenegger, and T. Binkert, Macromolecules 24, 5811 (1991); B. Chu, R. Xu, and J. Zhuo, ibid. 21, 273 (1988); H. G. Schild, Prog. Polym. Sci. 17, 163 (1992); S. Fujishige, K. Kubota, and I. Ando, J. Phys. Chem. 93, 3311 (1989).
14. S.-T. Sun, I. Nishio, G. Swislow, and T. Tanaka, J. Chem. Phys. 73, 5971 (1980); M. Meewes, J. Rička, M. de Silva, R. Nyffenegger, and T. Binkert, Macromolecules 24, 5811 (1991); B. Chu, R. Xu, and J. Zhuo, ibid. 21, 273 (1988); H. G. Schild, Prog. Polym. Sci. 17, 163 (1992); S. Fujishige, K. Kubota, and I. Ando, J. Phys. Chem. 93, 3311 (1989).
15. S.-T. Sun, I. Nishio, G. Swislow, and T. Tanaka, J. Chem. Phys. 73, 5971 (1980); M. Meewes, J. Rička, M. de Silva, R. Nyffenegger, and T. Binkert, Macromolecules 24, 5811 (1991); B. Chu, R. Xu, and J. Zhuo, ibid. 21, 273 (1988); H. G. Schild, Prog. Polym. Sci. 17, 163 (1992); S. Fujishige, K. Kubota, and I. Ando, J. Phys. Chem. 93, 3311 (1989).
16. S.-T. Sun, I. Nishio, G. Swislow, and T. Tanaka, J. Chem. Phys. 73, 5971 (1980); M. Meewes, J. Rička, M. de Silva, R. Nyffenegger, and T. Binkert, Macromolecules 24, 5811 (1991); B. Chu, R. Xu, and J. Zhuo, ibid. 21, 273 (1988); H. G. Schild, Prog. Polym. Sci. 17, 163 (1992); S. Fujishige, K. Kubota, and I. Ando, J. Phys. Chem. 93, 3311 (1989).
17. B. Chu, Q. Ying, and A. Yu. Grosberg, Macromolecules 28, 180 (1995).
18. G. Raos and G. Allegra, Macromolecules 29, 8565 (1996); J. Chem. Phys. 107, 6479 (1997).
19. G. Raos and G. Allegra, Macromolecules 29, 8565 (1996); J. Chem. Phys. 107, 6479 (1997).
20. P. G. de Gennes, J. Phys. (France) Lett. 46, L639 (1985).
21. E. G. Timoshenko, Yu. A. Kuznetsov, and K. A. Dawson, J. Chem. Phys. 102, 1816 (1995).
22. F. Ganazzoli, R. La Ferla, and G. Allegra, Macromolecules 28, 5285 (1995).
23. Yu. A. Kuznetsov, E. G. Timoshenko, and K. A. Dawson, J. Chem. Phys. 104, 3338 (1996).
24. B. Ostrovsky and Y. Bar-Yam, Comput. Polym. Sci. 3, 9 (1993).
25. Yu. A. Kuznetsov, E. G. Timoshenko, and K. A. Dawson, J. Chem. Phys. 103, 4807 (1995).
26. H. Orland and E. Pitard, Europhys. Lett. 41, 467 (1998).
27. T. Garel and H. Orland, Europhys. Lett. 6, 307 (1988); T. Garel, L. Leibler, and H. Orland, J. Phys. II 4, 2139 (1994).
28. T. Garel and H. Orland, Europhys. Lett. 6, 307 (1988); T. Garel, L. Leibler, and H. Orland, J. Phys. II 4, 2139 (1994).
29. E. I. Shakhnovich and A. M. Gutin, J. Phys. A 22, 1647 (1989); G. H. Fredrickson, S. T. Milner, and L. Leibler, Macromolecules 25, 6341 (1992); C. D. Sfatos, A. M. Gutin, and E. I. Shakhnovich, Phys. Rev. E 48, 465 (1993).
30. E. I. Shakhnovich and A. M. Gutin, J. Phys. A 22, 1647 (1989); G. H. Fredrickson, S. T. Milner, and L. Leibler, Macromolecules 25, 6341 (1992); C. D. Sfatos, A. M. Gutin, and E. I. Shakhnovich, Phys. Rev. E 48, 465 (1993).
31. E. I. Shakhnovich and A. M. Gutin, J. Phys. A 22, 1647 (1989); G. H. Fredrickson, S. T. Milner, and L. Leibler, Macromolecules 25, 6341 (1992); C. D. Sfatos, A. M. Gutin, and E. I. Shakhnovich, Phys. Rev. E 48, 465 (1993).
32. Multicomponent Polymer Systems, edited by I. S. Miles and S. Rostami (Longman Scientific and Technical, New York, 1992).
33. P. G. Wolynes, in Spin Glass Ideas in Biology, edited by D. Stein (World Scientific, Singapore, 1991).
34. Y. Deng and R. Pelton, Macromolecules 28, 4617 (1995); K. Chan. R. Pelton, and J. Zhang, Langmuir 15, 4018 (1999).
35. Y. Deng and R. Pelton, Macromolecules 28, 4617 (1995); K. Chan. R. Pelton, and J. Zhang, Langmuir 15, 4018 (1999).
36. X. Qiu, C. M. S. Kwan, and C. Wu, Macromolecules 30, 6090 (1997).
37. A. V. Gorelov, L. N. Vasil'eva, A. du Chesne, E. G. Timoshenko, Yu. A. Kuznetsov, and K. A. Dawson, Nuovo Cimento D 16, 711 (1994); A. V. Gorelov, A. Du Chesne, and K. A. Dawson, Physica A 240, 443 (1997).
38. A. V. Gorelov, L. N. Vasil'eva, A. du Chesne, E. G. Timoshenko, Yu. A. Kuznetsov, and K. A. Dawson, Nuovo Cimento D 16, 711 (1994); A. V. Gorelov, A. Du Chesne, and K. A. Dawson, Physica A 240, 443 (1997).
39. E. G. Timoshenko, Yu. A. Kuznetsov, and K. A. Dawson, Physica A 240, 432 (1997).
40. E. G. Timoshenko and Yu. A. Kuznetsov, Nuovo Cimento D 20, (12bis), 2359 (1998).
41. E. G. Timoshenko, Yu. A. Kuznetsov, and K. A. Dawson, Phys. Rev. E 57, 6801 (1998).
42. P. G. de Gennes and C. Taupin, J. Phys. Chem. 86, 2294 (1982).
43. R. Cantor, Macromolecules 14, 1186 (1981).
44. Micellization, Solubilization, and Microemulsion, edited by K. Mittal (Plenum, New York, 1977), pp. 713, 877.
45. J. des Cloizeaux, J. Phys. (Paris) 31, 715 (1970); S. F. Edwards and P. Singh, J. Chem. Soc., Faraday Trans. 2, 1001 (1979); G. Allegra and F. Ganazzoli, J. Chem. Phys. 83, 397 (1985); S. F. Edwards and M. Muthukumar, ibid. 89, 2435 (1989).
46. J. des Cloizeaux, J. Phys. (Paris) 31, 715 (1970); S. F. Edwards and P. Singh, J. Chem. Soc., Faraday Trans. 2, 1001 (1979); G. Allegra and F. Ganazzoli, J. Chem. Phys. 83, 397 (1985); S. F. Edwards and M. Muthukumar, ibid. 89, 2435 (1989).
47. J. des Cloizeaux, J. Phys. (Paris) 31, 715 (1970); S. F. Edwards and P. Singh, J. Chem. Soc., Faraday Trans. 2, 1001 (1979); G. Allegra and F. Ganazzoli, J. Chem. Phys. 83, 397 (1985); S. F. Edwards and M. Muthukumar, ibid. 89, 2435 (1989).
48. J. des Cloizeaux, J. Phys. (Paris) 31, 715 (1970); S. F. Edwards and P. Singh, J. Chem. Soc., Faraday Trans. 2, 1001 (1979); G. Allegra and F. Ganazzoli, J. Chem. Phys. 83, 397 (1985); S. F. Edwards and M. Muthukumar, ibid. 89, 2435 (1989).
49. A. Byrne, E. G. Timoshenko, and K. A. Dawson, Physica A 243, 14 (1997).
50. Yu. A. Kuznetsov and E. G. Timoshenko, Nuovo Cimento D 20, (12bis), 2265 (1998).
51. These correspond to points at a fixed concentration c on curves I″ and I′ in Fig. 1 of Ref. 22, respectively.
52. Animation of the relaxation towards the equilibrium corresponding to mesoglobules is available at http://darkstar.ucd.ie/animation/#2.
53. 12 attempted Monte Carlo steps. The computing expenses for obtaining all Monte Carlo data in this paper were about 2 months of pure CPU time on 16 PII-400 MHz processors Beowulf cluster (http://darkstar.ucd.ie/ servers).
54. E. Orlandini and T. Garel, Eur. Phys. J. B 6, 101 (1998).
55. Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1975); T. Garel, D. A. Huse, L. Leibler, and H. Orland, Europhys. Lett. 8, 9 (1989).
56. Y. Imry and S.-K. Ma, Phys. Rev. Lett. 35, 1399 (1975); T. Garel, D. A. Huse, L. Leibler, and H. Orland, Europhys. Lett. 8, 9 (1989).
57. M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987).