Molecular field theory for biaxial nematic liquid crystals composed of molecules with C2h point group symmetry

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 84, Issue 1, 2011, Pages

  Luckhurst, Geoffrey R ^a   Naemura, Shohei ^a,b   Sluckin, Timothy J ^a   To, Tung B T ^a   Turzi, Stefano ^a,c  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b TOTTORI UNIVERSITY   (Japan)

^c POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BIAXIAL NEMATIC PHASE; BIAXIAL NEMATIC PHASIS; MOLECULAR FIELD THEORY; NEMATOGENS; ORDER PARAMETER; ORIENTATIONAL ORDER PARAMETERS; POINT GROUP SYMMETRY; TRICRITICAL POINT;

MOLECULES; POINT GROUPS;

NEMATIC LIQUID CRYSTALS;

EID: 79961118339     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.84.011704     Document Type: Article

References (40)

1. P. K. Karahaliou, A. G. Vanakaras, and D. J. Photinos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.3226560 131, 124516 (2009).
2. C. Zannoni, The Molecular Physics of Liquid Crystals, edited by, G. R. Luckhurst, and, G. W. Gray, (Academic, London, 1979), Chap. 3.
3. M. J. Freiser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.24. 1041 24, 1041 (1970).
4. J. P. Straley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.10.1881 10, 1881 (1974).
5. B. Mulder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.360 39, 360 (1989).
6. N. Boccara, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(73)90442-9 76, 72 (1973).
7. S. Bhagavantam and D. Suryanarayana, Acta Crystallogr. ACCRA9 0365-110X 10.1107/S0365110X49000047 2, 21 (1949).
8. S. Goshen, D. Mukamel, and S. Shtrikman, Mol. Cryst. Liq. Cryst. ACCRA9 1542-1406 10.1080/15421407508082869 31, 171 (1975).
9. N. D. Mermin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.51.591 51, 591 (1979).
10. M. Liu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.24.2720 24, 2720 (1981).
11. U. D. Kini, Mol. Cryst. Liq. Cryst. 1542-1406 10.1080/00268948408071838 112, 265 (1984).
12. B. Mettout, P. Toledano, H. Takezoe, and J. Watanabe, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.031701 66, 031701 (2002). (Pubitemid 40606392)
13. J. Watanabe, L. Yuqing, H. Tuchiya, and H. Takezoe, Mol. Cryst. Liq. Cryst. 1542-1406 10.1080/10587250008023860 346, 9 (2000).
14. T. Niori, T. Sekine, J. Watanabe, T. Furukawa, and H. Takezoe, J. Mater. Chem. JMACEP 0959-9428 10.1039/jm9960601231 6, 1231 (1996).
15. T. C. Lubensky and L. Radzihovsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.031704 66, 031704 (2002). (Pubitemid 40606394)
16. B. Mettout, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.031706 72, 031706 (2005). (Pubitemid 41778091)
17. B. Mettout, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.041701 74, 041701 (2006). (Pubitemid 44521777)
18. Y. Galerne, Mol. Cryst. Liq. Cryst. 1542-1406 10.1080/10587259808048443 323, 211 (1998).
19. G. R. Luckhurst, Thin Solid Films THSFAP 0040-6090 10.1016/S0040-6090(01) 01091-4 393, 40 (2001). (Pubitemid 32719911)
20. A. J. Stone, The Molecular Physics of Liquid Crystals, edited by, G. R. Luckhurst, and, G. W. Gray, (Academic, London, 1979)
21. P. G. de Gennes, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1974).
22. F. Biscarini, C. Chiccoli, P. Pasini, F. Semeria, and C. Zannoni, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1803 75, 1803 (1995).
23. G. R. Luckhurst, Physical Properties of Liquid Crystals: Nematics, edited by, D. A. Dunmur, A. Fukuda, and, G. R. Luckhurst, (INSPEC, the Institution of Electrical Engineers, London, 2001), Chap. 2.1.
24. A. P. J. Emerson, R. Hashim, and G. R. Luckhurst, Mol. Phys. 0026-8976 10.1080/00268979200101311 76, 241 (1992).
25. I. W. Hamley, G. R. Luckhurst, R. M. Richardson, and F. Santos, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1446435 116, 3887 (2002). (Pubitemid 34923826)
26. F. Biscarini, C. Zannoni, C. Chiccoli, and P. Pasini, Mol. Phys. 0026-8976 10.1080/00268979100101301 73, 439 (1991).
27. G. De Matteis and E. G. Virga, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.061703 71, 061703 (2005). (Pubitemid 41663753)
28. P. A. Lebwohl and G. Lasher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.426 6, 426 (1972).
29. G. R. Luckhurst, S. Romano, and P. Simpson, Chem. Phys. MOPHAM 0026-8976 10.1080/00268979200101311 73, 337 (1982).
30. F. Bisi, G. R. Luckhurst, and E. G. Virga, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.021710 78, 021710 (2008).
31. G. R. Luckhurst and S. Romano, Mol. Phys. MOPHAM 0026-8976 10.1080/00268978000101341 40, 129 (1980).
32. J. Nocedal and S. J. Wright, Numerical Optimization (Springer, Berlin, 1999).
33. F. Bisi, S. Romano, and E. G. Virga, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.041705 75, 041705 (2007). (Pubitemid 46652831)
34. F. Bisi, L. Longa, G. Pajak, and R. Rosso, Mol. Cryst. Liq. Cryst. MOPHAM 1542-1406 10.1080/15421401003795670 525, 12 (2010).
35. F. Bisi and R. Rosso, Eur. J. App. Math. (in press).
36. F. Bisi, private communication.
37. A. M. Sonnet, E. G. Virga, and G. E. Durand, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.061701 67, 061701 (2003).
38. S. Tanimura and K. Koda, e-print arXiv: 0805.2471.
39. E. W. Weisstein, "Binet-Cauchy Identity" in MathWorld-A Wolfram Web Resource [http://mathworld.wolfram.com/Binet-CauchyIdentity.html].
40. G. R. Luckhurst, S. Naemura, T. B. T. To, and S. Turzi (in preparation).