Translationally invariant slip-spring model for entangled polymer dynamics

Physical Review Letters

Volumn 109, Issue 14, 2012, Pages

  Chappa, Veronica C ^a,b,c   Morse, David C ^d   Zippelius, Annette ^a   Müller, Marcus ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b CENTRO ATÓMICO CONSTITUYENTES   (Argentina)

^c Consejo Nacional de Investigaciones Científicas y Técnicas ^*  (Argentina)

^d University of Minnesota   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONALLY EFFICIENT; ENTANGLED POLYMERS; EQUILIBRIUM PROPERTIES; INVARIANT INTERACTION; MEAN-SQUARE DISPLACEMENT; RHEOLOGICAL BEHAVIORS; TOPOLOGICAL EFFECTS;

ATOMIC PHYSICS; PHYSICS;

TOPOLOGY;

EID: 84867054746     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.148302     Document Type: Article

References (42)

1. M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Clarendon Press, Oxford, 1986).
2. P.G. de Gennes, J. Chem. Phys. 55, 572 (1971). JCPSA6 0021-9606 10.1063/1.1675789
3. P.G. de Gennes, Macromolecules 9, 587 (1976). MAMOBX 0024-9297 10.1021/ma60052a011
4. R. Everaers, S.K. Sukumaran, G.S. Grest, C. Svaneborg, A. Sivasubramanian, and K. Kremer, Science 303, 823 (2004). SCIEAS 0036-8075 10.1126/science.1091215
5. M. Kröger, Comput. Phys. Commun. 168, 209 (2005). CPHCBZ 0010-4655 10.1016/j.cpc.2005.01.020
6. C. Tzoumanekas and D.N. Theodorou, Macromolecules 39, 4592 (2006). MAMOBX 0024-9297 10.1021/ma0607057
7. N. Uchidaa, G. Grest, and R. Everaers, J. Chem. Phys. 128, 044902 (2008). JCPSA6 0021-9606 10.1063/1.2825597
8. C. Tzoumanekas and D.N. Theodorou, Curr. Opin. Solid State Mater. Sci. 10, 61 (2006). COSSFX 1359-0286 10.1016/j.cossms.2006.11.003
9. M. Guenza, J. Phys. Condens. Matter 20, 033101 (2008). JCOMEL 0953-8984 10.1088/0953-8984/20/03/033101
10. A.E. Likhtman, J. Non-Newtonian Fluid Mech. 157, 158 (2009). JNFMDI 0377-0257 10.1016/j.jnnfm.2008.11.008
11. J.P. Wittmer, H. Meyer, A. Johner, T. Kreer, and J. Baschnagel, Phys. Rev. Lett. 105, 037802 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.037802
12. J.-X. Hou, C. Svaneborg, R. Everaers, and G.S. Grest, Phys. Rev. Lett. 105, 068301 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.068301
13. J. Cao and A.E. Likhtman, Phys. Rev. Lett. 104, 207801 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.207801
14. D.M. Sussman and K.S. Schweizer, Phys. Rev. Lett. 107, 078102 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.078102
15. D.M. Sussman and K.S. Schweizer, J. Chem. Phys. 135, 131104 (2011). JCPSA6 0021-9606 10.1063/1.3651143
16. J. Farago, H. Meyer, and A.N. Semenov, Phys. Rev. Lett. 107, 178301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.178301
17. J. Cao and A.E. Likhtman, Phys. Rev. Lett. 108, 028302 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.028302
18. G.S. Grest and K. Kremer, Phys. Rev. A 33, 3628 (1986). PLRAAN 0556-2791 10.1103/PhysRevA.33.3628
19. K. Kremer and G.S. Grest, J. Chem. Phys. 92, 5057 (1990). JCPSA6 0021-9606 10.1063/1.458541
20. M. Müller, J. Stat. Phys. 145, 967 (2011). JSTPBS 0022-4715 10.1007/s10955-011-0302-z
21. L.J. Fetters, D.J. Lohse, S.T. Milner, and W.W. Graessley, Macromolecules 32, 6847 (1999). MAMOBX 0024-9297 10.1021/ma990620o
22. L.J. Fetters, D.J. Lohse, and W.W. Graessley, J. Polym. Sci., Part B: Polym. Phys. 37, 1023 (1999). JPBPEM 0887-6266 10.1002/(SICI)1099-0488(19990515) 37:10<1023::AID-POLB7>3.0.CO;2-T
23. M. Müller and K.C. Daoulas, J. Chem. Phys. 129, 164906 (2008). JCPSA6 0021-9606 10.1063/1.2997345
24. J.T. Padding and W.J. Briels, J. Chem. Phys. 115, 2846 (2001). JCPSA6 0021-9606 10.1063/1.1385162
25. J.T. Padding and W.J. Briels, J. Chem. Phys. 117, 925 (2002). JCPSA6 0021-9606 10.1063/1.1481859
26. A.E. Likhtman, Macromolecules 38, 6128 (2005). MAMOBX 0024-9297 10.1021/ma050399h
27. J. Ramirez, S.K. Sukumaran, and A.E. Likhtman, J. Chem. Phys. 126, 244904 (2007). JCPSA6 0021-9606 10.1063/1.2746867
28. D.M. Nair and J.D. Schieber, Macromolecules 39, 3386 (2006). MAMOBX 0024-9297 10.1021/ma0519056
29. J.D. Schieber, D.M. Nair, and T. Kitkrailard, J. Rheol. 51, 1111 (2007). JORHD2 0148-6055 10.1122/1.2790460
30. Y. Masubuchi, J.I. Takimoto, K. Koyama, G. Ianniruberto, G. Marrucci, and F. Greco, J. Chem. Phys. 115, 4387 (2001). JCPSA6 0021-9606 10.1063/1.1389858
31. J. Oberdisse, G. Ianniruberto, F. Greco, and G. Marrucci, Rheol. Acta 46, 95 (2006). RHEAAK 0035-4511 10.1007/s00397-006-0096-0
32. Y. Masubuchi, T. Uneyama, H. Wanatabe, G. Ianniruberto, F. Greco, and G. Marrucci, J. Chem. Phys. 132, 134902 (2010). JCPSA6 0021-9606 10.1063/1.3370346
33. R.D. Groot and P.B. Warren, J. Chem. Phys. 107, 4423 (1997). JCPSA6 0021-9606 10.1063/1.474784
34. P. Nikunen, M. Karttunen, and I. Vattulainen, Comput. Phys. Commun. 153, 407 (2003). CPHCBZ 0010-4655 10.1016/S0010-4655(03)00202-9
35. P.J. Hoogerbrugge and J.M.V.A. Koelman, Europhys. Lett. 19, 155 (1992). EULEEJ 0295-5075 10.1209/0295-5075/19/3/001
36. P. Warren and P. Espanol, Europhys. Lett. 30, 191196 (1995). EULEEJ 0295-5075
37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.148302 for the equation of state for the slip springs and the asymptotic forms of the mean-square displacements in the Rouse and tube models.
38. P.E. Rouse, J. Chem. Phys. 21, 1272 (1953). JCPSA6 0021-9606 10.1063/1.1699180
39. A.E. Likhtman and T.C.B.M. Leish, Macromolecules 35, 6332 (2002). MAMOBX 0024-9297 10.1021/ma0200219
40. F. Müller-Plathe, Phys. Rev. E 59, 4894 (1999). PLEEE8 1063-651X 10.1103/PhysRevE.59.4894
41. R. Stratton, J. Colloid Interface Sci. 22, 517 (1966). JCISA5 0021-9797 10.1016/0021-9797(66)90047-6
42. A. Ramírez-Hernández, (to be published).