Equilibrium confocal textures in a smetic-A cell
Epifanio G. Virga; Jean-Baptiste Fournier
- Volume: 6, Issue: 1, page 65-72
- ISSN: 1120-6330
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topVirga, Epifanio G., and Fournier, Jean-Baptiste. "Equilibrium confocal textures in a smetic-A cell." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 6.1 (1995): 65-72. <http://eudml.org/doc/244099>.
@article{Virga1995,
abstract = {We study the textures of smectic-A liquid crystals consisting in curved, but stricdy equidistant lamellae. Assuming translational symmetry, we can generate them from a single curve. The free energy is a non-trivial functional of it. We learn how to derive the equilibrium equation for this curve, when the texture is confined between two parallel plates, which exert a weak anchoring on the orientation of the lamellae, but do not interfere direcdy with their position. Finally, we describe an instability that may arise in the cell when the anchoring conditions on the two plates are antagonistic.},
author = {Virga, Epifanio G., Fournier, Jean-Baptiste},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Smectic-A liquid crystals; Confocal textures; Free energy; Instability; equidistant lamellae; translational symmetry; free energy; instability},
language = {eng},
month = {3},
number = {1},
pages = {65-72},
publisher = {Accademia Nazionale dei Lincei},
title = {Equilibrium confocal textures in a smetic-A cell},
url = {http://eudml.org/doc/244099},
volume = {6},
year = {1995},
}
TY - JOUR
AU - Virga, Epifanio G.
AU - Fournier, Jean-Baptiste
TI - Equilibrium confocal textures in a smetic-A cell
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1995/3//
PB - Accademia Nazionale dei Lincei
VL - 6
IS - 1
SP - 65
EP - 72
AB - We study the textures of smectic-A liquid crystals consisting in curved, but stricdy equidistant lamellae. Assuming translational symmetry, we can generate them from a single curve. The free energy is a non-trivial functional of it. We learn how to derive the equilibrium equation for this curve, when the texture is confined between two parallel plates, which exert a weak anchoring on the orientation of the lamellae, but do not interfere direcdy with their position. Finally, we describe an instability that may arise in the cell when the anchoring conditions on the two plates are antagonistic.
LA - eng
KW - Smectic-A liquid crystals; Confocal textures; Free energy; Instability; equidistant lamellae; translational symmetry; free energy; instability
UR - http://eudml.org/doc/244099
ER -
References
top- BOULIGAND, Y., Recherches sur les textures des états mésomorphes 1. Les arrangements focaux dans les smectiques: rappels et considerations théoriques. J. Phys., 33, Paris 1972, 525-547.
- DE GENNES, P. G., The Physics of Liquid Crystals. Clarendon Press, Oxford1974.
- DE GENNES, P. G. - PROST, J., The Physics of Liquid Crystals. 2nd ed., Clarendon Press, Oxford1993.
- FOURNIER, J.-B., Curvature elasticity of smectic-A textures with virtual surface singularities. Phys. Rev. Lett., 70, 1993, 1445-1448.
- KLÉMAN, M. - PARODI, O., Covariant elasticity for smectics A. J. Phys., 36, Paris 1975, 671-681.
- LESLIE, F. M. - STEWART, I. W. - NAKAGAWA, M., A continuum theory for smectic C liquid crystals. Mol. Cryst. Liq. Cryst, 198, 1991, 443-454.
- HARDY, G. H. - LITTLEWOOD, J. E. - PÒLYA, G., Inequalities. 2nd ed., Cambridge University Press, Cambridge1952. Zbl0634.26008MR46395JFM60.0169.01
- VIRGA, E. G. - FOURNIER, J.-B., Confocal textures with free boundaries in smectic-A liquid crystals. To appear.
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