Influence of fluctuations on the phase diagram of chiral nematic liquid crystals

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

Volumn 61, Issue 3, 2000, Pages 2759-2768

  Englert, J ^a   Stark, H ^a   Longa, L ^b   Trebin, H R ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

PHASE DIAGRAMS;

ALIGNMENT TENSORS; CHIRAL NEMATIC LIQUID CRYSTALS; CUMULANT EXPANSION; INVERSE CORRELATION; LANDAU-DE GENNES THEORY; LIQUID CRYSTALLINE; ORDER PARAMETER; STATISTICAL FIELD THEORY;

NEMATIC LIQUID CRYSTALS;

EID: 0010033151     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2759     Document Type: Article

References (35)

1. V. A. Belyakov and V. E. Dmitrienko, Usp. Fiz. Nauk 146, 369 (1985) [Sov. Phys. Usp. 28, 535 (1985)]
2. H. Stegemeyer, Th. Blümel, K. Hiltrop, H. Onusseit, and F. Porsch, Liq. Cryst. 1, 3 (1986)
3. D. C. Wright and N. D. Mermin, Rev. Mod. Phys. 61, 385 (1989)
4. P. P. Crooker, Liq. Cryst. 5, 751 (1989)
5. T. Seideman, Rep. Prog. Phys. 53, 659 (1990).
6. R. Barbet-Massin and P. Pieranski, J. Phys. Colloq. C3, C3-61 (1985).
7. S. R. Renn and T. C. Lubensky, Phys. Rev. A 41, 4392 (1988)
8. J. W. Goodby, M. A. Waugh, S. M. Stein, E. Chin, R. Pindak, and J. S. Patel, Nature (London) 337, 449 (1989).
9. B. Pansu, M. H. Li, and H. T. Nguyen, J. Phys. II 7, 751 (1997).
10. J. B. Becker and P. J. Collings, Mol. Cryst. Liq. Cryst. 265, 163 (1995).
11. E. P. Koistinen and P. H. Keyes, Phys. Rev. Lett. 74, 4460 (1995).
12. Z. Kutnjak, C. W. Garland, J. L. Passmore, and P. J. Collings, Phys. Rev. Lett. 74, 4859 (1995).
13. N. A. Clark, S. T. Vohra, and M. A. Handschy, Phys. Rev. Lett. 52, 57 (1984)
14. Phys. Rev. Lett.P. E. Cladis, P. Pieranski, and M. Joanicot, 52, 542 (1984)
15. Phys. Rev. Lett.R. N. Kleiman, D. J. Bishop, R. Pindak, and P. Taborek, 53, 2137 (1984).
16. H. Stark and H.-R. Trebin, Phys. Rev. E 51, 2316 (1995).
17. H. Stark and H.-R. Trebin, Phys. Rev. E 51, 2326 (1995).
18. H. Grebel, R. M. Hornreich, and S. Shtrikman, Phys. Rev. A 28, 1114 (1983)
19. Phys. Rev. AH. GrebelR. M. HornreichS. Shtrikman30, 3264 (1984).
20. L. Longa, W. Fink, and H.-R. Trebin, Phys. Rev. E 50, 3841 (1994).
21. L. Longa and H.-R. Trebin, Phys. Rev. Lett. 71, 2757 (1993)
22. J. Englert, L. Longa, and H.-R. Trebin, Liq. Cryst. 21, 243 (1996).
23. D. Bensimon, E. Domany, and S. Shtrikman, Phys. Rev. A 28, 427 (1983).
24. E. I. Kats, V. V. Lebedev, and A. R. Muratov, Phys. Rep. 228, 1 (1993).
25. D. K. Yang and P. P. Crooker, Phys. Rev. A 35, 4419 (1987).
26. A. Hauser, M. Thieme, A. Saupe, D. Krüerke, and G. Heppke, J. Mater. Chem. 7, 2223 (1997).
27. T. C. Lubensky and H. Stark, Phys. Rev. E 53, 714 (1996).
28. M. A. Anisimov, V. A. Agayan, and P. J. Collings, Phys. Rev. E 57, 582 (1998).
29. L. Longa, J. Englert, and H.-R. Trebin, in Proceedings of the LMS Symposium on Mathematical Models of Liquid Crystals and Related Polymeric Systems (Cambridge University Press, Cambridge, England, 1995).
30. S. A. Brazovskĭ, Zh. Éksp. Teor. Fiz. 68, 175 (1975) [Sov. Phys. JETP 41, 85 (1975)]
31. Sov. Phys. JETPS. A. Brazovskĭ and S. G. Dmitriev, 69, 979 (1975) [42, 497 (1975)].
32. J. Englert, Über den Einfluß von Fluktuationen auf die Chiral-Nematischen Blauen Phasen (Shaker Verlag, Aachen, 1998).
33. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon Press, Oxford, 1993).
34. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group, Frontiers in Physics Vol. 85 (Addison-Wesley, Reading, MA, 1992).
35. A. V. Dobrynin, J. Phys. I 5, 1241 (1995).