Equilibrium confocal textures in a smetic-A cell
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 1, pp. 65-72
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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.
@article{RLIN_1995_9_6_1_a7,
author = {Virga, Epifanio G. and Fournier, Jean-Baptiste},
title = {Equilibrium confocal textures in a {smetic-A} cell},
journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
pages = {65--72},
publisher = {mathdoc},
volume = {Ser. 9, 6},
number = {1},
year = {1995},
zbl = {0835.76004},
mrnumber = {MR1340283},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_1_a7/}
}
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. Rendiconti Lincei. Matematica e applicazioni PY - 1995 SP - 65 EP - 72 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_1_a7/ LA - en ID - RLIN_1995_9_6_1_a7 ER -
%0 Journal Article %A Virga, Epifanio G. %A Fournier, Jean-Baptiste %T Equilibrium confocal textures in a smetic-A cell %J Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni %D 1995 %P 65-72 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_1_a7/ %G en %F RLIN_1995_9_6_1_a7
Virga, Epifanio G.; Fournier, Jean-Baptiste. Equilibrium confocal textures in a smetic-A cell. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 1, pp. 65-72. http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_1_a7/