Continuum description of the interfacial layer of nematic liquid crystals in contact with solid surfaces

Journal of Chemical Physics

Volumn 130, Issue 17, 2009, Pages

  Barbero, Giovanni ^a,b   Dahl, Ingolf ^a   Komitov, Lachezar ^a  

^a UNIVERSITY OF GOTHENBURG   (Sweden)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BULK PROPERTIES; CONTINUUM DESCRIPTIONS; DISSIPATIVE EFFECTS; FREEDERICKSZ TRANSITIONS; INTERFACIAL LAYERS; PHYSICAL PARAMETERS; RELAXATION TIME; SOLID SURFACES; SPATIAL VARIATIONS; SURFACE ALIGNMENTS; SURFACE ENERGIES;

CRYSTALS; ELASTIC CONSTANTS; LIGHT SOURCES; LIQUID CRYSTALS; LIQUIDS; NEMATIC LIQUID CRYSTALS; SURFACE CHEMISTRY; SURFACE RELAXATION; SURFACE TENSION;

SURFACE PROPERTIES;

EID: 65549083009     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3126657     Document Type: Article

References (30)

1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon, Oxford, 1994).
2. E. G. Virga, Variational Theories for Liquid Crystals (Chapman and Hall, London, 1994).
3. G. Barbero and L. R. Evangelista, An Elementary Course on the Continuum Theory for Nematic Liquid Crystals (World Scientific, Singapore, 2001).
4. A. Rapini and M. Papoular, J. Phys. Colloq. 0449-1947 30, C4 (1969).
5. A. I. Derzhanskii and A. G. Petrov, Acta Phys. Pol. A 0587-4246 55, 747 (1979).
6. G. E. Durand and E. G. Virga, Phys. Rev. E 1063-651X 59, 4137 (1999). 10.1103/PhysRevE.59.4137
7. A. Sonnet, E. G. Virga, and G. E. Durand, Phys. Rev. E 1063-651X 62, 3694 (2000). 10.1103/PhysRevE.62.3694
8. A. Favini, G. Ruiz Goldstein, J. A. Goldstein, and S. Romanelli, J. Evol. Equ. 1424-3199 2, 1 (2002). 10.1007/s00028-002-8077-y
9. F. M. Leslie, Arch. Ration. Mech. Anal. 0003-9527 28, 265 (1968). 10.1007/BF00251810
10. F. M. Leslie, Continuum Mech. Thermodyn. 0935-1175 4, 167 (1992). 10.1007/BF01130288
11. L. Landau and E. Lifchitz, Mecanique des Fluides (MIR, Moscow, 1976).
12. Numerical Solution of Partial Differential Equations: The Numerical Method of Lines, Mathematical Tutorial, Wolfram Inc., 2009.
13. S. Faetti, M. Nobili, and I. Raggi, Eur. Phys. J. B 1434-6028 11, 445 (1999). 10.1007/s100510050955
14. A. Mertelj and M. Copic, Phys. Rev. Lett. 0031-9007 81, 5844 (1998). 10.1103/PhysRevLett.81.5844
15. A. Mertelj and M. Copic, Phys. Rev. E 1063-651X 61, 1622 (2000). 10.1103/PhysRevE.61.1622
16. M. Vilfan, I. D. Drevensek Olenik, and M. Copic, Phys. Rev. E 1063-651X 63, 061709 (2001). 10.1103/PhysRevE.63.061709
17. A. G. Petrov, A. Th. Ionescu, C. Versace, and N. Scaramuzza, Liq. Cryst. 0267-8292 19, 169 (1995). 10.1080/02678299508031966
18. V. S. U. Fazio, F. Nannelli, and L. Komitov, Phys. Rev. E 1063-651X 63, 061712 (2001). 10.1103/PhysRevE.63.061712
19. A. L. Alexe-Ionescu, G. Barbero, and L. Komitov, Phys. Rev. E 1063-651X, 77, 051701 (2008). 10.1103/PhysRevE.77.051701
20. E. P. G. Virga, private communication (November 8, 2009).
21. R. Courant and D. Hilbert, Method of Mathematical Physics (Wiley, New York, 1989), Vol. I.
22. W. J. Code and P. J. Browne, J. Math. Anal. Appl. 0022-247X 309, 729 (2005). 10.1016/j.jmaa.2004.11.067
23. Y. N. Aliyev and N. B. Kerimov, Arabian J. Sci. Eng. 0377-9211 33, 123 (2008).
24. H. Amann and J. Escher, Ann. Mat. Pura Appl. 0373-3114 CLXXI, 41 (1996). 10.1007/BF01759381
25. T. Hintermann, Proc.-R. Soc. Edinburgh, Sect. A: Math. 113A, 43 (1989).
26. G. M. Coclite, G. R. Goldstein, and J. A. Goldstein, J. Differ. Equations 0022-0396 245, 2595 (2008). 10.1016/j.jde.2007.12.006
27. E. Dubois-Violette and P. G. de Gennes, J. Phys. Lett. 36, 255 (1975). 10.1051/jphyslet:019750036010025500
28. A. L. Alexe-Ionescu, R. Barberi, J. J. Bonvent, and M. Giocondo, Phys. Rev. E 1063-651X 54, 529 (1996). 10.1103/PhysRevE.54.529
29. I. Lelidis and G. Barbero, Eur. Phys. J. E 1292-8941 19, 119 (2006). 10.1140/epje/e2006-00016-5
30. A. L. Alexe-Ionescu, R. Barberi, G. Barbero, and M. Giocondo, Phys. Rev. E 1063-651X 49, 5378 (1994). 10.1103/PhysRevE.49.5378