The Hartree approximation in dynamics of polymeric manifolds in the melt

Journal of Chemical Physics

Volumn 110, Issue 1, 1999, Pages 639-651

  Rostiashvili, V G ^a,b   Rehkopf, M ^a   Vilgis, T A ^a  

^a MAX PLANCK INSTITUTE FOR POLYMER RESEARCH   (Germany)

^b INSTITUTE OF PROBLEMS OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040407127     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.478121     Document Type: Article

References (45)

1. H. Kinzelbach and H. Horner, J. Phys. I 3, 1329 (1993).
2. T. A. Vilgis, J. Phys. I 1, 1389 (1991).
3. W. Hess, Macromolecules 21, 2620 (1988).
4. K. S. Schweizer, J. Chem. Phys. 91, 5802 (1989).
5. K. S. Schweizer, J. Chem. Phys. 91, 5822 (1989).
6. K. S. Schweizer, Phys. Scr. T49, 99 (1993).
7. M. Fuchs and K. S. Schweizer, J. Chem. Phys. 106, 347 (1997).
8. M. Rehkopf, V. G. Rostishvili, and T. A. Vilgis, J. Phys. II 7, 1469 (1997).
9. D. Cule and Y. Shapir, Phys. Rev. E 53, 1553 (1996).
10. M. Mezard and G. Parisi, J. Phys. I 1, 809 (1991).
11. S. E. Korshunov, Phys. Rev. B 48, 3969 (1993).
12. T. Giamarchi and P. LeDoussal, Phys. Rev. B 52, 1242 (1995).
13. H. Orland and Y. Shapir, Europhys. Lett. 30, 203 (1995).
14. T. Garel, G. Iori, and H. Orland, Phys. Rev. B 53, R2941 (1991).
15. T. Garel and H. Orland, Phys. Rev. B 55, 226 (1997).
16. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon P, Oxford, 1986).
17. P. G. deGennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
18. D. Richter, L. Willmer, A. Zirkel, B. Fargo, L. J. Fetters, and J. S. Huang, Macromolecules 27, 7437 (1994);
19. D. S. Pearson, L. J. Fetters, W. W. Graessly, G. VerStrate, and E. von Meerwal, 27, 711 (1994).
20. K. Kremer and G. S. Grest, J. Chem. Phys. 92, 5057 (1990).
21. B. Dünweg, G. S. Grest, and K. Kremer, in Numerical Methods for Polymer Science, edited by S. G. Whittington, IMA Volume in Mathematics and its Applications 102 (Springer, Berlin, 1998), p. 159.
22. V. G. Rostiashvili, M. Rehkopf, and T. A. Vilgis, Eur. Phys. J. B (accepted for publication).
23. M. E. Cates, J. Phys. (France) 46, 1059 (1985).
24. T. A. Vilgis, Phys. Rev. A 36, 1506 (1987);
25. Physica A 153, 341 (1988);
26. J. Phys. II 2, 1961 (1992);
27. P. Haronska and T. A. Vilgis, J. Chem. Phys. 102, 6586 (1995).
28. W. Paul, K. Binder, D. W. Heermann, and K. Kremer, J. Chem. Phys. 95, 7726 (1991).
29. S. W. Smith, C. K. Hall, and B. D. Freeman, J. Chem. Phys. 104, 5616 (1996).
30. A. Kopf, B. Dünweg, and W. Paul, J. Chem. Phys. 107, 6945 (1997).
31. W. Paul, G. D. Smith, and D. Y. Yoon, Macromolecules 30, 7772 (1997).
32. W. Paul, G. D. Smith, D. Y. Yoon, B. Farago, S. Rathgeber, A. Zirkel, G. Willner, and D. Richter, Phys. Rev. Lett. 80, 2346 (1998).
33. J. S. Shaffer, J. Chem. Phys. 101, 4205 (1994).
34. J. S. Shaffer, J. Chem. Phys. 103, 761 (1995).
35. K. Okun, M. Wolfgardt, J. Bashnagel, and K. Binder, Macromolecules 30, 3075 (1997).
36. G. Fredrickson and E. Helfand, J. Chem. Phys. 93, 2048 (1990).
37. V. G. Rostiashvili, Sov. Phys. JETP 70, 563 (1990).
38. V. G. Rostiashvili, M. Rehkopf, and T. A. Vilgis, Eur. Phys. J. B (accepted for publication).
39. In Ref. 8 the self-avoidance was dropped and instead of RPA correlators the full correlators were introduced.
40. I. Ya. Erukhimovich and A. N. Semenov, Sov. Phys. JETP 63, 149 (1986).
41. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon, Oxford, 1989).
42. G. Doetsch, Einführung in die Theorie und Anwendung der Laplace-Transformation (Birkhäuser, Basel-Stuttgart, 1976).
43. We use here the notation of Ref. 4.
44. D. Forster, Hydrodynamic, Fluctuations, Broken Symmetry and Correlation Functions (Benjamin Inc., Reading PA, 1992).
45. W. Götze, in Liquids, Freezing and Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Justin (North-Holland, Amsterdam, 1991).