Equation of state and stress tensor in inhomogeneous compressible copolymer melts: Dynamic mean-field density functional approach

Journal of Chemical Physics

Volumn 108, Issue 6, 1998, Pages 2638-2650

  Maurits, N M ^a   Zvelindovsky, A V ^a   Fraaije, J G E M ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001591581     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475651     Document Type: Article

References (71)

1. B. A. C. van Vlimmeren, N. M. Maurits, A. V. Zvelindovsky, G. J. A. Sevink, and J. G. E. M. Fraaije, Phys. Rev. Lett. (submitted).
2. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
3. P. C. Hogenberg and B. I. Halperin. Rev. Mod. Phys. 49, 435 (1977).
4. B. A. C. van Vlimmeren and J. G. E. M. Fraaije, Comput. Phys. Commun. 99, 21 (1996).
5. C. W. Gardiner. Handbook of Stochastic Methods. 2nd ed. (Springer, Berlin, 1990).
6. H. Risken, The Fokker-Planck Equation (Springer, Berlin. 1989).
7. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
8. A. Y. Grosberg and A. R. Khokhlov. Statistical physics of Macromolecules (AIP Press, New York, 1994).
9. O. T. Valls and J. E. Farrell, Phys. Rev. E 47, R36 (1993).
10. T. Kawakatsu, K. Kawasaki, M. Furusaka, H. Okabayashi, and T. Kanaya, J. Chem. Phys. 99, 8200 (1993).
11. A. Shinozaki and Y. Oono, Phys. Rev. E 48, 2622 (1993).
12. B. Schmittmann and R. K. P. Zia, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. Lebowitz (Academic, London. 1994).
13. J. G. E. M. Fraaije, B. A. C. van Vlimmeren, N. M. Maurits, M. Postma, O. A. Evers, C. Hoffmann, P. Altevogt, and G. Goldbeck-Wood. J. Chem. Phys. 106, 4260 (1997).
14. B. A. C. van Vlimmerin, M. Postma, P. Huetz, A. Brisson, and J. G. E. M. Fraaije, Phys. Rev. E 54, 5836 (1996).
15. N. M. Maurits, B. A. C. van Vlimmeren, and J. G. E. M. Fraaije, Phys. Rev. E 56, 816 (1997).
16. N. M. Maurits and J. G. E. M. Fraaije, J. Chem. Phys. 107, 5879 (1997).
17. P. J. Flory, R. A. Orwoll, and A. Vrij, J. Am. Chem. Soc. 86, 3507 (1964).
18. G. T. Dee and D. J. Walsh, Macromolecules 21, 815 (1988).
19. J. A. R. Renuncio and J. M. Prausnitz, Macromolecules 9, 898 (1976).
20. R. Simha and T. Somcynsky, Macromolecules 2, 342 (1969).
21. I. C. Sanchez and R. H. Lacombe, J. Phys. Chem. 80, 2352 (1976).
22. C. Panayiotou, Macromolecules 20, 861 (1987).
23. I. C. Sanchez and A. C. Balais, Macromolecules 22, 2325 (1989).
24. P. J. Flory, J Chem. Phys. 9, 660 (1941).
25. M. L. Muggins, J. Chem. Phys. 9, 440 (1941).
26. R. Dickman and C. K. Hall, J. Chem. Phys. 85, 4108 (1986).
27. K. G. Honnell and C. K. Hall, J. Chem. Phys. 90, 1841 (1989).
28. J. Chang and S. Sandler, Chem. Eng. Sci. 49, 2777 (1994).
29. M. Wolfgardt, J. Baschnagel, and K. Binder, J. Chem. Phys. 103, 7166 (1995).
30. M. Wolfgardt and K. Binder, Macromol. Theory Simul. 5, 699 (1996).
31. R. B. Bird, O. Hassager, and R. C. Armstrong, Dynamics of Polymeric Liquids (Wiley, New York, 1987).
32. B. U. Felderhof, Physica (Amsterdam) 48, 541 (1970).
33. K. Kawasaki and T Ohta, Physica A 139, 223 (1986).
34. A. Onuko, J. Chem. Phys. 87, 3692 (1987).
35. A. Onuki, Phys. Rev. A 35, 5149 (1987).
36. C. J. Mundy, Y. Levin, and K. A Dawson, J Chem. Phys. 97, 7695 (1992).
37. T. Ohta, Y. Enomoto, J. L. Harden, and M. Doi, Macromolecules 26, 4928 (1993).
38. M. Doi, J. L. Harden, and T. Ohta, Macromolecules 26, 4935 (1993).
39. H. Kodama and M. Doi, Macromolecules 29, 2652 (1996).
40. G. Pätzotd and K. Dawson, J. Chem. Phys. 104, 5932 (1996).
41. G Pätzold and K. Dawson, Phys. Rev. E 54, 1669 (1996).
42. A Onuki and K Kawasaki, Phys. Lett. A 75, 485 (1980).
43. T Ohta and H. Nozaki, J. Chem. Phys. 93, 2664 (1990).
44. G. H. Fredrickson and R. G. Larson, J. Chem. Phys. 86, 1553 (1987).
45. G. K. Batchelor, J. Fluid Mech. 41, 545 (1970).
46. G. K. Batchelor, J. Fluid Mech. 83, 97 (1977).
47. K. Kawasaki, Phys. Rev. 150, 291 (1966).
48. M. Doi and Chen D., J. Chem. Phys. 90, 5271 (1989).
49. H.-P. Wittmann and G. H. Fredrickson, J. Phys. I. France 4, 1791 (1994).
50. M. Doi, J. Polym. Sci., Polym. Phys. Ed. 19, 229 (1981).
51. M. Fialkowski, Phys. Rev. E 55, 2902 (1997).
52. A. Onuki, Phys. Rev. E 55, 403 (1997).
53. J. G. E. M. Fraeje, J. Chem. Phys. 99, 9202 (1993).
54. A. V. Zvelindovsky, G. J. A. Sevink, B. A. C. van Vlimmeren, N. M. Maurits, and J. G. E. M. Fraaije, Phys. Rev. E. (submitted).
55. E. Helfand, J. Chem. Phys. 62, 999 (1975).
56. P. G. de Gennes, J Chem. Phys. 72, 4756 (1980).
57. P. Pincus, J. Chem. Phys. 75, 1996 (1981).
58. K. Binder, J. Chem. Phys. 79, 6387 (1983).
59. J. D. Ferry, Viscoelastic properties of Polymers (Wiley, New York, 1980).
60. D. D. Joseph, Fluid Dynamics of Viscoelastic Liquids (Springer Verlag, New York, 1990).
61. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, Course of Theoretical Physics, Vol. 7 (Pergamon Press, London, 1959).
62. N. M. Maurits and J. G. E. M. Fraaije, J. Chem. Phys. 106, 6730 (1997).
63. G. Astarita and G. Marrucci, Principles of Non-Newtonian Fluid Mechanics (McGraw-Hill, London, 1974).
64. N. M. Maurits, P Altevogt, O. A. Evers, and J. G. E. M. Fraaije, Comput. Polym. Sci. 6, 1 (1996).
65. H. J. C. Berendsen, J. P. M. Postma, W. F. van Gunsteren, A. DiNola, and J. R. Haak, J. Chem. Phys. 81, 3684 (1984).
66. J. S. Rowlinson, Pure Appl. Chem. 65, 873 (1993).
67. J. K. Percus, L. A. Pozhar, and K. E. Gubbins, Phys. Rev. E 51, 261 (1995).
68. R. Lovett and M. Baus, J. Chem. Phys. 106, 635 (1997).
69. P. Ahlström, H. Bekker, and H. J. C. Berendsen, in preparation (unpublished).
70. T. L. Hill, Statistical Mechanics (McGraw-Hill, New York, 1956).
71. D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1976).