Modulated structures in nematic monolayers formed by symmetric molecules

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

Volumn 71, Issue 2, 2005, Pages

  Lelidis, I ^a   Barbero, G ^b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL POINT; OSCILLATED GRANULAR LAYER; SWIFT-HOHENBERG THEORY; WAVELENGTH PATTERNS;

COMPUTER SIMULATION; COMPUTER SOFTWARE; CONTINUUM MECHANICS; ENERGY DISSIPATION; GRANULAR MATERIALS; MOLECULAR DYNAMICS; NAVIER STOKES EQUATIONS; OSCILLATIONS; STANDING WAVE METERS;

PARTICLE SIZE ANALYSIS;

EID: 41349113866     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.022701     Document Type: Article

References (20)

1. V. M. Kaganer, H. Möhwald, and P. Duta, Rev. Mod. Phys. 71, 779 (1999).
2. S. A. Langer and J. P. Sethna, Phys. Rev. A 34, 5035 (1986).
3. G. A. Hinshaw, Jr., R. G. Petschek, and R. A. Pelcovits, Phys. Rev. Lett. 60, 1864 (1988).
4. J. V. Selinger, Z.-G. Wang, R. F. Bruinsma, and C. M. Knobler, Phys. Rev. Lett. 70, 1139 (1993).
5. T. Ohyama, A. E. Jacob, and D. Mukamel, Phys. Rev. E 53, 2595 (1996).
6. J. Maclennan and M. Seul, Phys. Rev. Lett. 69, 2082 (1992).
7. J. Pang and N. A. Clark, Phys. Rev. Lett. 73, 2332 (1994).
8. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1994).
9. G. Barbero and L. R. Evangelista, An Elementary Course on the Continuum Theory for Nematic Liquid Crystals (World Scientific, Singapore, 2001).
10. A. L. Alexe-Ionescu, G. Barbero, and A. Th. Ionescu, Phys. Lett. A 204, 71 (1995).
11. S. T. Lagerwall and I. Dhal, Mol. Cryst. Liq. Cryst. 114, 151 (1984).
12. 2θ[cos φ(∂θ/∂x) + sin φ(∂θ/∂y)]. This term is invariant for ordinary rotation of the reference frame. Let us consider now the mirror reflection (O,x,y,z)->(O,-x,y,z). In this case θ→θ and φrarr;-πφ. Consequently ℒ. For the other transformation (O,x,y,z)→(O,x,-y,z) we have θ→θ and ℒ, and again ℒ
13. A. Rapini and M. Papoular, J. Phys. (Paris), Colloq. 30, C4-54 (1969).
14. E. M. Lifshitz, Zh. Eksp. Teor. Fiz. 11, 255 (1941).
15. J.-C. Tolédano and P. Tolédano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 2001).
16. P. I. C. Texeira and T. J. Sluckin, J. Chem. Phys. 97, 1498 (1992).
17. d.
18. I. Lelidis and G. Durand, Phys. Rev. Lett. 73, 672 (1994).
19. O. Ou Ramdane et al., Phys. Rev. Lett. 84, 3871 (2000).
20. I. Lelidis and G. Barbero, Europhys. Lett. 61, 646 (2003).