Simple model for biaxial smectic - A liquid-crystal phases

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

Volumn 73, Issue 6, 2006, Pages

  Teixeira, P I C ^a   Osipov, M A ^b   Luckhurst, G R ^c  

^a CATHOLIC UNIVERSITY OF PORTUGAL   (Portugal)

^b UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^c UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; CRYSTALLINE MATERIALS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PARTICLE SIZE ANALYSIS; VIBRATION CONTROL;

DOMINANT ORDER PARAMETERS; GENERIC VARIATIONAL DERIVATION; MCMILLAN THEORY; RECTANGULAR PARALLELEPIPEDS;

SMECTIC LIQUID CRYSTALS;

EID: 33745206542     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.061708     Document Type: Article

References (55)

1. L. A. Madsen, T. J. Dingemans, M. Nakata, and E. T. Samulski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.145505 92, 145505 (2004);
2. B. R. Acharya, A. Primak, and S. Kumar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.145506 92, 145506 (2004).
3. K. Merkel, A. Kocot, J. K. Vij, R. Korlacki, G. H. Mehl, and T. Meyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.237801 93, 237801 (2004);
4. J. L. Figueirinhas, C. Cruz, D. Filip, G. Feio, A. C. Ribeiro, Y. Frere, T. Meyer, and G. H. Mehl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 94.107802 94, 107802 (2005).
5. M. J. Freiser, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.24. 1041 24, 1041 (1970).
6. G. R. Luckhurst, Thin Solid Films THSFAP 0040-6090 10.1016/S0040-6090(01) 01091-4 393, 40 (2001).
7. G. R. Luckhurst, Nature (London) NATUAS 0028-0836 10.1038/430413a 430, 413 (2004);
8. G. R. Luckhurst, Angew. Chem., Int. Ed. ACIEF5 1433-7851 44, 2-2836 (2005);
9. Liquid Crystal News (August issue, 2005) p. 10, www.blcs.org.uk
10. N. Boccara, R. Mejdani, and L. de Seze, J. Phys. (Paris) JOPQAG 0302-0738 38, 149 (1977).
11. A. Ferrarini, P. L. Nordio, E. Spolaore, and G. R. Luckhurst, J. Chem. Soc., Faraday Trans. JCFTEV 0956-5000 10.1039/ft9959103177 91, 3177 (1995).
12. R. Berardi and C. Zannoni, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1290474 113, 5971 (2000).
13. G. R. Luckhurst, C. Zannoni, P. L. Nordio, and U. Segre, Mol. Phys. MOPHAM 0026-8976 30, 1345 (1975).
14. E. M. Averyanov and A. N. Primak, Liq. Cryst. LICRE6 0267-8292 13, 139 (1993).
15. W. L. McMillan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.4.1238 4, 1238 (1971);
16. W. L. McMillan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.936 6, 936 (1972).
17. G. F. Kventsel, G. R. Luckhurst, and H. B. Zewdie, Mol. Phys. MOPHAM 0026-8976 56, 589 (1985).
18. H. R. Brand, P. E. Cladis, and H. Pleiner, Macromolecules MAMOBX 0024-9297 10.1021/ma00052a025 25, 7223 (1992).
19. P. G. de Gennes, The Physics of Liquid Crystals (Oxford University Press, New York, 1974).
20. R. J. Meyer and W. L. McMillan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.9.899 9, 899 (1974).
21. M. Matsushita, Mol. Cryst. Liq. Cryst. MCLCA5 0026-8941 68, 949 (1981).
22. H. R. Brand and H. Pleiner, Makromol. Chem., Rapid Commun. MCRCD4 0173-2803 12, 539 (1991).
23. See, for example, H. N. Shreenivasa Murthy and B. K. Sadashiva, Liq. Cryst. LICRE6 0267-8292 31, 567 (2004), and references therein.
24. H. Leube and H. Finkelmann, Makromol. Chem. MACEAK 0025-116X 10.1002/macp.1990.021911119 191, 2707 (1990)
25. H. Leube and H. Finkelmann, Makromol. Chem. MACEAK 0025-116X 10.1002/macp.1991.021920609 192, 1317 (1991)
26. P. J. Alonso, J. I. Martinez, and V. M. Orera, Liq. Cryst. LICRE6 0267-8292 26, 649 (1999).
27. D. W. Bruce, R. W. Date, G. R. Luckhurst, P. Pedrielli, and D. S. de Silva (unpublished).
28. T. Hegmann, J. Kain, S. Diele, G. Pelzl, and C. Tschierske, Angew. Chem., Int. Ed. ACIEF5 1433-7851 10.1002/1521-3773(20010302)40:5<887::AID- ANIE887>3.3.CO;2-S 40, 887 (2001).
29. R. Prathiba, N. V. Madhusudana, and B. K. Sadashiva, Science SCIEAS 0036-8075 10.1126/science.288.5474.2184 288, 2184 (2000).
30. R. Alben, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1680625 59, 4299 (1973).
31. P. Palffy-Muhoray, J. R. Bruyn, and D. A. Dunmur, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.448609 82, 5294 (1985);
32. R. Hashim, G. R. Luckhurst, and S. Romano, Mol. Phys. MOPHAM 0026-8976 53, 1535 (1984).
33. R. Berardi, C. Fava, and C. Zannoni, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/0009-2614(95)00212-M 236, 462 (1995);
34. R. Berardi, C. Fava, and C. Zannoni, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/S0009-2614(98)01090-2 297, 8 (1998).
35. A. G. Vanakaras, M. A. Bates, and D. J. Photinos, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b306271f 5, 3700 (2003).
36. J. P. Straley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.10.1881 10, 1881 (1974).
37. M. A. Osipov, T. J. Sluckin, and E. M. Terentjev, Liq. Cryst. LICRE6 0267-8292 19, 197 (1995).
38. B. Mulder, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.360 39, 360 (1989).
39. L. Onsager, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 10.1103/PhysRev.62.558 51, 627 (1949).
40. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
41. B. W. van der Meer and G. Vertogen, J. Phys. (Paris), Colloq. JPQCAK 0449-1947 40, C3-222 (1979).
42. L. Mederos and D. E. Sullivan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.39.854 39, 854 (1989).
43. M. A. Osipov, "Molecular Theories of Liquid Crystals," in Handbook of Liquid Crystals, Vol. 1 (Wiley-VCH, Weinheim, 1998).
44. B. Tjipto-Margo and D. E. Sullivan, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.454450 88, 6620 (1988).
45. C. G. Gray and K. E. Gubbins, Theory of Molecular Fluids, Vol. 1 (Clarendon Press, Oxford, 1984).
46. P. I. C. Teixeira, A. J. Masters, and B. M. Mulder, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A MCLCE9 1058-725X 323, 167 (1998).
47. M. A. Bates (private communication).
48. G. R. Luckhurst in The Molecular Physics of Liquid Crystals, edited by, G. R. Luckhurst, and, G. W. Gray, (Academic Press, London, 1979), chap.
49. The corresponding expansion for uniaxial molecules is given by P. J. Wojtowicz in Introduction to Liquid Crystals, edited by, E. B. Priestley, P. J. Wojtowicz, and, P. Sheng, (New York, Plenum Press, 1974/75), chap.
50. 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).
51. M. A. Bates and G. R. Luckhurst, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.477818 110, 2087 (1999).
52. Y. Takanishi, H. Takezoe, A. Fukuda, H. Komura, and J. Watanabe, J. Mater. Chem. JMACEP 0959-9428 2, 71 (1992).
53. G. S. Attard, R. W. Date, C. T. Imrie, G. R. Luckhurst, S. J. Roskilly, J. M. Seddon, and L. Taylor, Liq. Cryst. LICRE6 0267-8292 16, 529 (1994);
54. P. J. Le Masurier and G. R. Luckhurst, J. Chem. Soc., Faraday Trans. JCFTEV 0956-5000 94, 1593 (1998).
55. J. Watanabe and M. Hayashi, Macromolecules MAMOBX 0024-9297 22, 4083 (1989).