Abstract
The effect of regular wavy microrelief of a substrate surface on the formation of a smectic-A (SmA) surface structure in a nematic liquid crystal (NLC) near the nematic-smectic-A second-order phase transition temperature has been investigated theoretically. Within the framework of the Ginzburg-Landau model we have obtained the dependence of the surface smectic-order parameter and the penetration depth of a SmA surface structure into the NLC on the amplitude and period of the substrate microrelief. The effect of surface roughness on wetting by a SmA structure in the nematic phase of the liquid crystal is investigated. It is shown that the wetting of a rough surface by the smectic phase is always incomplete. It is also shown that sufficiently sharp microrelief of a substrate surface can suppress the SmA surface structure almost completely.
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L. M. Blinov, E. I. Kats, and A. A. Sonin, Usp. Fiz. Nauk 152, 449 (1987) [Sov. Phys. Usp. 30, 604 (1987).
B. Jerome, Rep. Prog. Phys. 54,3, 391 (1991).
H. Mada and S. Kobayashi, Appl. Phys. Lett. 35,1, 4 (1979).
H. Mada and S. Kobayashi, Mol. Cryst. Liq. Cryst. 66,1, 57 (1981).
H. A. van Sprang, Mol. Cryst. Liq. Cryst. 97,1, 255 (1983).
I. A. Kleinman and I. E. Tomashevskii, Kristallografiya 29, 1214 (1984) [Sov. Phys. Crystallogr., (1984)].
J. P. Nicholson, J. Phys. (Paris) 49,12, 2111 (1988).
W. Chen, L. J. Martinez-Miranda, H. Hsiung, and Y. R. Shen, Phys. Rev. Lett. 62, 1860 (1989).
K. Miyano, J. Chem. Phys. 71, 4108 (1979).
J. C. Tarczon and K. Miyano, J. Chem. Phys. 73, 1994 (1980).
H. Yokoyama, S. Kobayashi, and H. Kamei, Appl. Phys. Lett. 41, 438 (1982).
D. Beaglehole, Mol. Cryst. Liq. Cryst. 89,2, 319 (1982).
P. De Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993; Mir, Moscow, 1977) 400 pp.
J. Als-Nielsen, F. Chrstensen, and P. S. Pershan, Phys. Rev. Lett. 48, 1107 (1982).
P. S. Pershan and J. Als-Nielsen, Phys. Rev. Lett. 52, 759 (1984).
C. Rosenblatt, Phys. Rev. Lett. 53, 791 (1984).
J. Als-Nielsen, Physica A 140, 376 (1986).
P. S. Pershan, A. Braslau, A. H. Weiss, and J. Als-Nielsen, Phys. Rev. A 35, 4800 (1987).
B. M. Ocko, A. Braslau, P. S. Pershan, J. Als-Nielsen, and M. Deutsch, Phys. Rev. Lett. 57, 94 (1986).
P. S. Pershan, J. Phys. (Paris) 50, Coll. 7, 1 (1989).
B. M. Ocko, Phys. Rev. Lett. 64, 2160 (1990).
J. V. Selinger and D. R. Nelson, Phys. Rev. A 37, 1736 (1988).
Z. Pawlowska, G. F. Kventsel, and T. J. Sluckin, Phys. Rev. A 38, 5342 (1988).
L. Mederos and D. E. Sullivan, Phys. Rev. A 46, 7700 (1992).
A. M. Somoza, L. Mederos, and D. E. Sullivan, Phys. Rev. Lett. 72, 3674 (1994).
Zh. Kon’yar, Orientation of Nematic Liquid Crystals and Their Mixtures [in Russian] (Belorussian State Univ. Press, Minsk, 1986), p. 101.
H. V. Kanel, J. D. Leister, J. Melngalis, and H. I. Smith, Phys. Rev. A 24, 2713 (1981).
G. Barbero, Nuovo Cimento Lett. 29,17, 553 (1980).
A. Suiamura and T. Kawamura, Jpn. J. Appl. Phys. 23,2, 137 (1984).
G. Barbero and G. Durand, J. Phys. (Paris) II 1,6, 651 (1991).
S. Chandrasekhar, Liquid Crystals (Cambridge University Press, Cambridge, 1977; Mir, Moscow, 1980) 344 pp.
J. D. Litster, J. Als-Nielsen, R. J. Birgeneau, S. S. Dana, D. Davidov F. Garcia-Golding, M. Kaplan, C. R. Safinya, and R. Schaetzing, J. Phys. (France) 40, 339 (1979).
I. Lelidis and G. Durand, Phys. Rev. Lett. 73, 672 (1994).
P. G. De Gennes, Solid State Commun. 10, 753 (1972).
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Opticheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \). Zhurnal 41, 341–347 (February 1999)
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Mirantsev, L.V., Zakharov, A.V. & Korsakov, V.G. The effect of surface roughness of a solid substrate on its wetting by a smectic-A structure in the nematic phase of a liquid crystal. Phys. Solid State 41, 306–312 (1999). https://doi.org/10.1134/1.1131080
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DOI: https://doi.org/10.1134/1.1131080