Symmetries of the Doi kinetic theory for nematic polymers of arbitrary aspect ratio: At rest and in linear flows

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 66, Issue 3, 2002, Pages

  Forest, M Gregory ^a   Zhou, Ruhai ^a   Wang, Qi ^b  

^a The University of North Carolina at Chapel Hill   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY ASPECT RATIO; DOI KINETIC THEORY; LINEAR FLOWS; NEMATIC POLYMERS;

ASPECT RATIO; COMPUTER SIMULATION; CRYSTAL ORIENTATION; DIFFUSION; HYDRODYNAMICS; NEMATIC LIQUID CRYSTALS; PARAMETER ESTIMATION; POLYMERS; PROBABILITY DISTRIBUTIONS; SHEAR FLOW;

KINETIC THEORY;

ARTICLE;

EID: 41349096618     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.031712     Document Type: Article

References (30)

1. G. Marrucci and P. L. Maffettone, Macromolecules 22, 4076 (1989).
2. R. G. Larson, Macromolecules 23, 3983 (1990).
3. G. Marrucci and P. L. Maffettone, J. Rheol. 34, 1217 (1990);
4. J. Rheol.G. MarrucciP. L. Maffettone34, 1231 (1990).
5. R. G. Larson and H. Ottinger, Macromolecules 24, 6270 (1991).
6. G. Marrucci and F. Greco, Adv. Chem. Phys. 86, 331 (1993).
7. P. L. Maffettone and S. Crescitelli, J. Non-Newtonian Fluid Mech. 59, 73 (1995).
8. V. Faraoni, M. Grosso, S. Crescitelli, and P. L. Maffettone, J. Rheol. 43, 829 (1999).
9. M. Grosso, R. Keunings, S. Crescitelli, and P. L. Maffettone, (unpublished).
10. G. Marrucci and F. Greco, Mol. Cryst. Liq. Cryst. 206, 17 (1991).
11. G. Marrucci and F. Greco, J. Non-Newtonian Fluid Mech. 44, 1 (1992).
12. M. Doi, J. Polym. Sci., Polym. Chem. Ed. 19, 229 (1981).
13. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, London/Clarendon, New York, 1986).
14. N. Kuzuu and M. J. Doi, J. Phys. Soc. Jpn. 52, 3486 (1983).
15. N. Kuzuu and M. J. Doi, J. Phys. Soc. Jpn. 53, 1031 (1984).
16. G. Marrucci, Macromolecules 24, 4176 (1991).
17. H. See, M. Doi, and R. G. Larson, J. Chem. Phys. 92, 792 (1990).
18. A. N. Semenov, Sov. Phys. JETP 85, 321 (1983).
19. A. N. Semenov, Sov. Phys. JETP 66, 712 (1986).
20. Q. Wang, J. Chem Phys. 116, 9120 (2002).
21. M. G. Forest and Q. Wang, Rheol. Acta (to be published).
22. B. Bird, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids (Wiley, New York, 1987), Vols. 1 and 2.
23. G. B. Jeffery, Proc. R. Soc. London, Ser. A 102, 161 (1922).
24. J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry (Springer-Verlag, New York, 1994).
25. L. Onsager, Ann. N.Y. Acad. Sci. 51, 627 (1949).
26. L. D. Landau, In Collected Papers, edited by S. Kranse (Gordon and Breach, New York, 1965), p. 193.
27. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1993).
28. S. Hess, Z. Naturforsch. A 31A, 1034 (1976).
29. M. G. Forest, Q. Wang, and R. Zhou (unpublished).
30. A. Messiah, Quantum Mechanics (North-Holland Amsterdam, 1964), Vol. 2.