Lattice-Boltzmann simulations of the dynamics of polymer solutions in periodic and confined geometries

Journal of Chemical Physics

Volumn 122, Issue 9, 2005, Pages

  Usta, O Berk ^a   Ladd, Anthony J C ^a   Butler, Jason E ^a  

^a University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY SURFACES; BROWNIAN DYNAMICS; POLYMER SOLUTIONS; VOLUME CHAIN;

BROWNIAN MOVEMENT; FABRICATION; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; MONTE CARLO METHODS; POLYETHYLENES; SOLVENTS;

POLYMERS;

EID: 22944485027     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1854151     Document Type: Article

References (37)

1. M. Fixman, Macromolecules 19, 1204 (1986).
2. R. M. Jendrejack, D. C. Schwartz, J. J. de Pablo, and M. D. Graham, J. Chem. Phys. 120, 2513 (2004).
3. R. M. Jendrejack, M. Graham, and J. dePablo, J. Chem. Phys. 113, 2894 (2000).
4. R. M. Jendrejack, M. Graham, and J. dePablo, J. Chem. Phys. 119, 1165 (2003).
5. N. J. Woo, E. Shaqfeh, and B. Khomami, J. Rheol. 48, 281 (2004).
6. N. J. Woo, E. Shaqfeh, and B. Khomami, J. Rheol. 48, 299 (2004).
7. C.-C. Hsieh and R. G. Larson, J. Rheol. 48, 995 (2004).
8. R. Prabhakar, J. R. Prakesh, and T. Sridhar, J. Rheol. 48, 1251 (2004).
9. A. J. C. Ladd, J. Fluid Mech. 271, 285 (1994).
10. A. J. C. Ladd and R. Verberg, J. Stat. Phys. 104, 1191 (2001).
11. A. J. C. Ladd, J. Fluid Mech. 271, 311 (1994).
12. A. J. C. Ladd, Phys. Rev. Lett. 70, 1339 (1993).
13. A. J. C. Ladd, H. Gang, J. X. Zhu, and D. A. Weitz, Phys. Rev. Lett. 74, 318 (1995).
14. A. J. C. Ladd, Phys. Rev. Lett. 76, 1392 (1996).
15. A. J. C. Ladd, Phys. Rev. Lett. 88, 048301 (2002).
16. C. K. Aidun, Y. N. Lu, and E. Ding, J. Fluid Mech. 373, 287 (1998).
17. F. M. Auzerais, J. Dunsmuir, B. B. Ferréol et al., Geophys. Res. Lett. 23, 705 (1996).
18. N. S. Martys and H. Chen, Phys. Rev. E 53, 743 (1996).
19. B. Manz, L. F. Gladden, and P. B. Warren, AIChE J. 45, 1845 (1999).
20. P. Ahlrichs and B. Dünweg, J. Chem. Phys. 111, 8225 (1999).
21. P. Ahlrichs, R. Everaers, and B. Dünweg, Phys. Rev. E 64, 040501 (R) (2001).
22. Y. Oono and M. Kohmoto, J. Chem. Phys. 78, 520 (1983).
23. J. F. Marko and E. D. Siggia, Macromolecules 28, 8759 (1995).
24. U. Frisch, D. d'Humières, B. Hasslacher et al., Complex Syst. 1, 649 (1987).
25. L.D. Landau and E.M. Lifshitz, Fluid Mechanics (Addison-Wesley, London, 1959).
26. D. L. Ermak and J. A. McCammon, J. Chem. Phys. 69, 1352 (1978).
27. X. Fan, N. Phan-Thien, N. T. Yong, X. Wu, and D. Xu, Phys. Fluids 15, 11 (2003).
28. H. Hasimoto, J. Fluid Mech. 5, 317 (1959).
29. A. J. C. Ladd, J. Chem. Phys. 93, 3484 (1990).
30. J. Happel and H. Brenner, Low-Reynolds Number Hydrodynamics (Martinus Nijhoff, Dordrecht, 1986).
31. T. M. Squires and M. P. Brenner, Phys. Rev. Lett. 85, 4976 (2000).
32. F. Brochard and P. G. de Gennes, J. Chem. Phys. 67, 52 (1977).
33. J. L. Harden and M. Doi, J. Phys. Chem. 96, 4046 (1992).
34. M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
35. A. J. Wagner and I. Pagonabarraga, J. Stat. Phys. 107, 521 (2002).
36. E. H. Hauge and A. Martin-Löf, J. Stat. Phys. 7, 259 (1973).
37. H.C. Öttinger, Stochastic Processes in Polymeric Fluids (Springer-Verlag, Berlin, 1996).