A density functional study of a twisted nematic cell and its relation to the Frank-Oseen theory

Journal of Chemical Physics

Volumn 128, Issue 19, 2008, Pages

  De Vos, Thierri ^a   Baus, Marc ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; DENSITY FUNCTIONAL THEORY; ELASTIC CONSTANTS; EXTRAPOLATION; NUMERICAL METHODS;

DE GENNES EXTRAPOLATION LENGTH; FRANK-OSEEN THEORY; NEMATIC CELLS;

NEMATIC LIQUID CRYSTALS;

EID: 44349083005     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2920198     Document Type: Article

References (32)

1. S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge University Press, Cambridge, 1992).
2. P.-G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon, Oxford, 1995).
3. P. Oswald and P. Pieranski, Les Cristaux Liquides. Concepts et Proprít́s Physiques Illustŕs par des Exṕriences. Tome 1 (Gordon and Breach Science, Paris, 2000).
4. D. W. Berreman, Phys. Rev. Lett. 28, 1683 (1972).
5. C. Oseen, Trans. Faraday Soc. 29, 883 (1933).
6. H. Zocher, Trans. Faraday Soc. 29, 945 (1933).
7. F. C. Frank, Discuss. Faraday Soc. 25, 19 (1958).
8. M. Baus and C. F. Tejero, Equilibrium Statistical Physics: Phases of Matter and Phase Transitions (Springer, Berlin, 2008).
9. M. P. Allen, Mol. Phys. 96, 1391 (1999).
10. D. Adrienko and M. P. Allen, Phys. Rev. E 65, 021704 (2002).
11. M. P. Allen, J. Chem. Phys. 112, 5447 (2000).
12. P. I. C. Teixeira, A. Chrzanowska, G. D. Wall, and D. J. Cleaver, Mol. Phys. 99, 889 (2001).
13. D. L. Cheung and F. Schmid, J. Chem. Phys. 120, 9185 (2004).
14. I. Rodríguez-Ponce, J. M. Romero-Enrique, and L. F. Rull, Phys. Rev. E 64, 051704 (2001).
15. I. Rodríguez-Ponce, J. M. Romero, E. Velasco, L. Mederos, and L. F. Rull, J. Chem. Phys. 122, 014903 (2005).
16. J. Stelzer, L. Longa, and H. R. Trebin, Phys. Rev. E 55, 7085 (1997).
17. H. Steuer and S. Hess, Phys. Rev. E 69, 031708 (2004).
18. L. Onsager, Ann. N.Y. Acad. Sci. 51, 627 (1949).
19. J.-L. Colot, X.-G. Wu, H. Xu, and M. Baus, Phys. Rev. A 38, 2022 (1988).
20. B. J. Berne and P. Pechukas, J. Chem. Phys. 56, 4213 (1972).
21. J. G. Gay and B. J. Berne, J. Chem. Phys. 74, 3316 (1981).
22. P. Padilla and E. Velasco, J. Chem. Phys. 106, 10299 (1997).
23. P. I. C. Teixeira, Phys. Rev. E 55, 2876 (1997).
24. P. I. C. Teixeira, F. Barmes, and D. J. Cleaver, J. Phys.: Condens. Matter 16, S1969 (2004).
25. C. M. Care and D. J. Cleaver, Rep. Prog. Phys. 68, 2665 (2005).
26. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1989).
27. A. Chrzanowska, P. I. C. Texeira, H. Ehrentraut, and D. J. Cleaver, J. Phys.: Condens. Matter 13, 4715 (2001).
28. B. M. Mulder and D. Frenkel, Mol. Phys. 55, 1193 (1985).
29. A. Rapini and M. Papoular, J. Phys. Colloq. C4, 30, 54 (1969).
30. A. Poniewierski and A. Samborski, Phys. Rev. E 53, 2436 (1996).
31. A. Poniewierski and A. Samborski, J. Chem. Phys. 105, 7632 (1996).
32. A. Poniewierski and A. Samborski, Liq. Cryst. 23, 377 (1997).