Mode-coupling approach to polymer diffusion in an unentangled melt. II. the effect of viscoelastic hydrodynamic interactions

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

Volumn 85, Issue 5, 2012, Pages

  Farago, J ^a   Meyer, H ^a   Baschnagel, J ^a   Semenov, A N ^a  

^a UNIVERSITÉ DE STRASBOURG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC BEHAVIORS; CENTER-OF-MASS; DENSITY-BASED; FRICTION PARAMETERS; HYDRODYNAMIC INTERACTION; LANGEVIN; LONG CHAINS; MEAN SQUARE DISPLACEMENT; MODE COUPLING; MODE-COUPLING THEORY; MONTE CARLO; PHYSICAL MECHANISM; POLYMER DIFFUSION; SLOW RELAXATIONS; TIME REGIME; VELOCITY AUTOCORRELATION FUNCTIONS;

ASYMPTOTIC ANALYSIS;

HYDRODYNAMICS;

EID: 84861925821     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.051807     Document Type: Article

References (42)

1. P. de Gennes, Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, NY, 1979).
2. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford Science, Oxford, 1989).
3. W. Paul and G. D. Smith, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/7/R03 67, 1117 (2004). (Pubitemid 39097233)
4. G. D. Smith, W. Paul, M. Monkenbusch, and D. Richter, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(00)00228-7 261, 61 (2000).
5. W. Paul, Chem. Phys. CMPHC2 0301-0104 10.1016/S0301-0104(02)00536-0 284, 59 (2002).
6. A. Kopf, B. Dünweg, and W. Paul, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.474934 107, 6945 (1997).
7. W. Paul, G. D. Smith, D. Y. Yoon, B. Farago, S. Rathgeber, A. Zirkel, L. Willner, and D. Richter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 80.2346 80, 2346 (1998).
8. K. Kremer and G. S. Grest, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.458541 92, 5057 (1990).
9. W. Paul, K. Binder, D. W. Heermann, and K. Kremer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.461346 95, 7726 (1991).
10. J. Farago, A. N. Semenov, H. Meyer, J. Wittmer, A. Johner, and J. Baschnagel, preceding paper (part I). Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.051806 85, 051806 (2012), the preceding paper.
11. J. Farago, H. Meyer, and A. N. Semenov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.178301 107, 178301 (2011).
12. J. Farago, H. Meyer, J. Baschnagel, and A. N. Semenov, J. Phys.: Condens. Matter (in press).
13. J. P. Wittmer, P. Polinska, H. Meyer, J. Farago, A. Johner, J. Baschnagel, and A. Cavallo, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3601918 134, 234901 (2011).
14. J. P. Boon and S. Yip, Molecular Hydrodynamics (Dover, Mineola, NY, 1992).
15. H. Sigurgeisson and D. M. Heyes, Mol. Phys. MOPHAM 0026-8976 10.1080/0026897021000037717 101, 469 (2003).
16. B. J. Alder and T. E. Wainwright, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.18.988 18, 988 (1967).
17. J. R. Dorfman and E. G. D. Cohen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.25.1257 25, 1257 (1970).
18. J. J. Erpenbeck and W. W. Wood, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.412 32, 412 (1985).
19. D. Levesque and W. T. Ashurst, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.33.277 33, 277 (1974).
20. M. A. van der Hoef and D. Frenkel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.4277 41, 4277 (1990).
21. J. P. Hansen and I. R. McDonalds, Theory of Simple Liquids, 3rd ed. (Academic Press, San Diego, 2006).
22. T. Gaskell and S. Miller, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/11/18/012 11, 3749 (1978).
23. L. Sjogren and A. Sjolander, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/12/21/005 12, 4369 (1979).
24. U. Balucani and M. Zoppi, Dynamics of the Liquid State (Oxford University Press, Oxford, 1995).
25. B. H. Zimm, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1742462 24, 269 (1956).
26. V. Lisy, J. Tothova, and A. V. Zatovsky, J. Stat. Mech.: Theory Exp. 1742-5468 10.1088/1742-5468/2008/01/P01024 (2008) P01024.
27. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, Oxford, 1987).
28. Why we can use safely in this case the true hydrodynamic l imit E (t) = E (k = 0, t) of the shear modulus, which in principle depends on k, is explained in Sec..
29. T. Soddemann, B. Dünweg, and K. Kremer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.68.046702 68, 046702 (2003).
30. M. Rubinstein and R. H. Colby, Polymer Physics (Oxford University Press, Oxford, 2003).
31. R. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Fluid Mechanics, Vol. 1 (Wiley, New York, 1987).
32. B. Dünweg, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.465444 99, 6977 (1993).
33. N. G. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 2007).
34. S. A. Egorov, J. Chem. Phys. 0021-9606 10.1063/1.3556749 134, 084903 (2011).
35. W. Götze, Complex Dynamics of Glass-Forming Liquids (Oxford Science, Oxford, 2009).
36. H. Meyer, J. Farago, A. N. Semenov (unpublished).
37. K. F. Freed and S. F. Edwards, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1682545 61, 3626 (1974).
38. P. G. de Gennes, Macromolecules MAMOBX 0024-9297 10.1021/ma60052a012 9, 594 (1976).
39. S. F. Edwards and M. Muthukumar, Macromolecules MAMOBX 0024-9297 10.1021/ma00134a012 17, 586 (1984).
40. G. H. Fredrickson and E. Helfand, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.459082 93, 2048 (1990).
41. P. Ahlrichs, R. Everaers, and B. Dünweg, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.64.040501 64, 040501 (2001).
42. S.-H. Chong and M. Fuchs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.185702 88, 185702 (2002).