Derivation of Frank-Ericksen elastic coefficients for polydomain nematics from mean-field molecular theory for anisotropic particles

Journal of Chemical Physics

Volumn 127, Issue 3, 2007, Pages

  Kröger, Martin ^a   Ilg, Patrick ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; MOLECULAR DYNAMICS; NEMATIC LIQUID CRYSTALS; PARAMETER ESTIMATION; TENSORS; VISCOSITY;

FRANK-ERICKSEN-LESLIE COEFFICIENTS; INHOMOGENEOUS SYSTEM; POLYDOMAIN NEMATICS;

ELASTIC CONSTANTS;

EID: 34547174653     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2743961     Document Type: Article

References (73)

1. R. R. Shah and N. L. Abbott, Science 293, 1296 (2001).
2. J. M. Brake, M. K. Daschner, Y.-Y. Luk, and N. L. Abbott, Science 302, 2094 (2003).
3. O. Guzmán, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 122, 184711 (2005).
4. F. M. Leslie, Arch. Ration. Mech. Anal. 28, 265 (1968).
5. A. D. Rey and M. M. Denn, Annu. Rev. Fluid Mech. 34, 233 (2002).
6. S. Hess, Z. Naturforsch. A 31A, 1034 (1976).
7. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
8. P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974).
9. S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge University Press, Cambridge, 1993).
10. T. Tsuji and A. D. Rey, Macromol. Theory Simul. 7, 623 (1998).
11. J. Feng, G. Sgaliari, and L. G. Leal, J. Rheol. 44, 1085 (2000).
12. G. Sgalari, G. L. Leal, and J. J. Feng, J. Non-Newtonian Fluid Mech. 102, 361 (2002).
13. Q. Wang, J. Chem. Phys. 116, 9120 (2002).
14. M. G. Forest, Q. Wang, and H. Zhou, Phys. Rev. E 61, 6655 (2000).
15. G. Marrucci and F. Greco, Mol. Cryst. Liq. Cryst. 206, 17 (1991).
16. E. B. Kim, O. Guzmán, S. Grollau, N. L. Abbott, and J. J. de Pablo, J. Chem. Phys. 121, 1949 (2004).
17. G. Rienäcker, M. Kröger, and S. Hess, Phys. Rev. E 66, (R) 040702 (2002).
18. G. Rienäcker, M. Kröger, and S. Hess, Physica A 315, 537 (2002).
19. Q. Wang, M. G. Forest, and R. H. Zhou, J. Rheol. 51, 1 (2007).
20. T. Bell, Ph.D. thesis, University of Wisconsin, 1998.
21. E. G. Virga, Variational Theories for Liquid Crystal (Chapman & Hall, London, 1994).
22. A. M. Sonnet, P. L. Maffettone, and E. G. Virga, J. Non-Newtonian Fluid Mech. 119, 51 (2004).
23. S. Hess and I. Pardowitz, Z. Naturforsch. A 36, 554 (1981).
24. P. Biscari, G. Napoli, and S. Turzi, Phys. Rev. E 74, 031708 (2006).
25. E. Fried and S. Sellers, J. Chem. Phys. 124, 024908 (2006).
26. H. R. Brand, H. Pleiner, and F. Ziebert, Phys. Rev. E 74, 021713 (2006).
27. J. Stelzer, L. Longa, and H.-R. Trebin, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 262, 455 (1995).
28. J. Stelzer, M. A. Bates, L. Longa, and G. R. Luckhurst, J. Chem. Phys. 107, 7483 (1997).
29. N. H. Phuong, G. Germano, and F. Schmid, J. Chem. Phys. 115, 7227 (2001).
30. M. P. Allen and D. Frenkel, Phys. Rev. A 1050-2947 10.1103/PhysRevA.37. 1813 37, 1813 (1988); M. P. Allen and D. Frenkel, Phys. Rev. A 42, 3641 (E) (1990).
31. M. P. Allen and D. Frenkel, Phys. Rev. A 1050-2947 10.1103/PhysRevA.37. 1813 37, 1813 (1988); M. P. Allen and D. Frenkel, Phys. Rev. A 42, 3641 (E) (1990).
32. M. P. Allen, M. A. Warren, M. R. Wilson, A. Sauron, and W. Smith, J. Chem. Phys. 105, 2850 (1996).
33. H. Steuer and S. Hess, Phys. Rev. Lett. 94, 027802 (2005).
34. M. Kröger and H. S. Sellers, Complex Fluids, Lecture Notes in Physics Vol. 415 (Springer, New York, 1992), pp. 295-301.
35. I. Pardowitz and S. Hess, J. Chem. Phys. 76, 1485 (1982).
36. R. G. Priest, Phys. Rev. A 7, 720 (1973).
37. A. Poniewierski and J. Stecki, Mol. Phys. 38, 1931 (1979).
38. S.-D. Lee and R. B. Meyer, J. Chem. Phys. 84, 3443 (1986).
39. M. A. Osipov and S. Hess, J. Chem. Phys. 99, 4181 (1993).
40. M. A. Osipov and S. Hess, Mol. Phys. 78, 1191 (1993).
41. G. Marrucci and F. Greco, J. Non-Newtonian Fluid Mech. 44, 1 (1992).
42. J. K. G. Dhont, Studies in Interface Science (Elsevier, Amsterdam, 1996).
43. N. Kuzuu and M. Doi, J. Phys. Soc. Jpn. 52, 3486 (1983).
44. M. Kröger and H. S. Sellers, J. Chem. Phys. 103, 807 (1995).
45. M. Kröger, Models for Polymeric and Anisotropic Liquids, Lecture Notes in Physics Vol. 675 (Springer, Berlin, 2005).
46. M. G. Forest and Q. Wang, Rheol. Acta 42, 20 (2003).
47. M. G. Forest, Q. Wang, and R. H. Zhou, Rheol. Acta 43, 17 (2004).
48. E. P. Choate and M. G. Forest, Rheol. Acta 46, 83 (2006).
49. S. Hess and I. Pardowitz, Z. Naturforsch. A 36A, 554 (1981).
50. L. Onsager, Ann. N.Y. Acad. Sci. 51, 627 (1949).
51. R. G. Larson and H. C. Öttinger, Macromolecules 24, 6270 (1991).
52. H. Yu and P. Zhang, J. Non-Newtonian Fluid Mech. 141, 104 (2006).
53. J. Feng, C. V. Chaubal, and L. G. Leal, J. Rheol. 42, 1095 (1998).
54. M. Kröger, A. Ammar, and F. Chinesta, J. Non-Newtonian Fluid Mech. (in press).
55. P. Ilg, I. V. Karlin, M. Kröger, and H. C. Öttinger, Physica A 319, 34 (2003).
56. M. C. Calderer, M. G. Forest, and Q. Wang, J. Non-Newtonian Fluid Mech. 120, 69 (2004).
57. P. Ilg, I. V. Karlin, and H. C. Öttinger, Phys. Rev. E 60, 5783 (1999).
58. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, Oxford, 1993).
59. S. Heidenreich, P. Ilg, and S. Hess, Phys. Rev. E 73, 061710 (2006).
60. J. L. Ericksen, Trans. Soc. Rheol. 5, 23 (1961).
61. J. L. Ericksen, Arch. Ration. Mech. Anal. 113, 97 (1991).
62. M. C. Calderer and C. Liu, Int. J. Eng. Sci. 38, 1007 (2000).
63. A. Srivastava and S. Singh, J. Phys.: Condens. Matter 16, 7169 (2004).
64. A. V. Zakharov and A. Maliniak, Eur. Phys. J. E 4, 85 (2001).
65. B. W. van der Meer and G. Vertogen, Phys. Lett. 7A, 486 (1979).
66. Q. Wang, M. G. Forest, and R. Zhou, ASME Trans. J. Fluids Eng. 126, 80 (2004).
67. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Springer, Dordrecht, 2003).
68. F. Leenhouts, W. H. de Jeu, and A. J. Dekker, J. Phys. (Paris) 40, 821 (1988).
69. H. Ehrentraut and S. Hess, Phys. Rev. E 51, 2203 (1995).
70. F. Leenhouts and A. J. Dekker, J. Chem. Phys. 74, 1956 (1981).
71. V. B. Nemtsov, Theor Appl. Mech. 13, 16 (1987).
72. A. V. Zakharov, Physica A 175, 327 (1991).
73. G. B. Jeffrey, Proc. R. Soc. London, Ser. A 102, 61 (1922).