Kinetics of phase ordering of nematic liquid crystals in a confined geometry

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

Volumn 53, Issue 5, 1996, Pages 4899-4903

  Bhattacharya, Aniket ^a,b,c   Rao, Madan ^a,b,c   Chakrabarti, Amitabha ^a,b,c  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b KANSAS STATE UNIVERSITY   (United States)

^c INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243301653     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.53.4899     Document Type: Article

References (33)

1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1993).
2. P. Cladis and M. Kleman, J. Phys. (Paris)33, 591 (1972);
3. R B. Meyer, Philos. Mag.27, 405 (1973).
4. M. Kleman, Points, Lines, and Walls, in Liquid Crystals, Magnetic Systems, and Various Ordered Media (Wiley, New York, 1983).
5. For a review see, for example, B. Jerome, Rep. Prog. Phys.54, 391 (1991).
6. X-l. Wu, W I. Goldburg, M X. Liu and J Z. Xue, Phys. Rev. Lett.69, 470 (1992).
7. G S. Iannacchinone, G P. Crawford, S. Zumer, J W. Doanne and D. Finotello, Phys. Rev. Lett.71, 2595 (1993);
8. G. S. Iannacchione (unpublished).
9. T. Bellini, Phys. Rev. Lett.69, 788 (1992).
10. S. Tripathi, C. Rosenblatt and F M. Aliev, Phys. Rev. Lett.72, 2725 (1994).
11. T. Bellini, N A. Clark and D W. Schaefer, Phys. Rev. Lett.74, 2740 (1995).
12. G. Schwalb and F W. Deeg, Phys. Rev. Lett.74, 1383 (1995).
13. M. Gingras (unpublished).
14. A. Maritan, M. Cieplak, T. Bellini and J R. Banavar, Phys. Rev. Lett.72, 4113 (1993).
15. A J. Liu, D J. Durian, E. Herbolzheimer and S A. Safran, Phys. Rev. Lett.65, 1897 (1990).
16. A J. Liu and G S. Grest, Phys. Rev. A44, R7894 (1991);
17. L. Monette, A J. Liu and G S. Grest, Phys. Rev. A46, 7664 (1992).
18. A. Bhattacharya, M. Rao and A. Chakrabarti, Phys. Rev. E49, 524 (1994).
19. Z. Zhang and A. Chakrabarti, Phys. Rev. E50, R4290 (1994).
20. See, for example, W I. Goldburg, in Dynamics of Ordering Processes in Condensed Matter, edited by S. Komura and H. Furukawa (Plenum, New York, 1988).
21. W I. Goldburg, F. Aliev and X L. Wu, Physica A213, 61 (1995).
22. P A. Lebwohl and G. Lasher, Phys. Rev. A6, 426 (1972);
23. P A. Lebwohl and G. Lasher, Phys. Rev. A7, 2222(E) (1973).
24. R J. Blundell and A J. Bray, Phys. Rev. A46, R6154 (1992).
25. Z. Zhang, O G. Mouritsen and M J. Zuckermann, Phys. Rev. Lett.69, 2803 (1992);
26. Z. Zhang, O G. Mouritsen and M J. Zuckermann, Phys. Rev. E48, 2842 (1993).
27. In the present formulation of the dynamics, we have neglected the coupling between the director and the gradients of the velocity field v. Though we are not completely justified in doing so, we note that the high kinematic viscosity in the nematic phase would allow for a faster relaxation of the velocity field.
28. For a recent review see A J. Bray, Adv. Phys.43, 357 (1994).
29. G. Porod, in Small-Angle X-Ray Scattering, edited by O. Glatter and O. Kratky (Academic, New York, 1982).
30. Y. Oono and S. Puri, Phys. Rev. Lett.58, 863 (1987).
31. This can be achieved by coating the walls of the pore with lecithin. See, for example, S. Kralj, G. Lahajnar, A. Zidansek, N. Vrbancic-Kopac, M. Vilfan, R. Blinc and M. Kosec, Phys. Rev. E48, 340 (1993).
32. M. Rao and A. Chakrabarti, Phys. Rev. E49, 3727 (1994).
33. T J. Newman, A J. Bray and M A. Moore, Phys. Rev. B42, 4514 (1990).