Abstract
The structural transformations in a nematic liquid crystal (NLC) layer with a hybrid orientation (planar director orientation is created on one substrate and homeotropic director orientation is created on the other) are studied. In the case of a dc voltage applied to the NLC layer, the primary instability is flexoelectric. It causes the appearance of flexoelectric domains oriented along the director on the substrate with a planar orientation. When the voltage increases further, an electroconvective instability in the form of rolls moving almost normal to flexoelectric domains develops along with these domains. Thus, the following spatially periodic structures of different natures coexist in one system: equilibrium static flexoelectric deformation of a director and dissipative moving oblique electroconvection rolls. The primary instability in the case of an ac voltage is represented by electroconvection, which leads to moving oblique or normal rolls depending on the electric field frequency. Above the electroconvection threshold, a transition to moving “abnormal” rolls is detected. The wavevector of the rolls coincides with the initial director orientation on the substrate with a planar orientation, and the projection of the director at the midplane of the NLC layer on the layer plane makes a certain angle with the wavevector. The results of numerical calculations of the threshold characteristics of the primary instabilities agree well with the obtained experimental data.
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References
P. G. de Gennes, Liquid Crystals (Clarendon, Oxford, 1974).
S. A. Pikin, Structural Transformations in Liquid Crystals (Nauka, Moscow, 1981; Gordon and Breach Sci., New York, 1991).
Pattern Formation in Liquid Crystals, Ed. by Á. Buka and L. Kramer (Springer, New York, 1996).
L. M. Blinov, Electro- and Magnetooptics of Liquid Crystals (Nauka, Moscow, 1978) [in Russian].
R. B. Meyer, Phys. Rev. Lett. 22, 918 (1969).
L. K. Vistin’, Sov. Phys. Dokl. 15, 908 (1970).
L. K. Vistin’, Sov. Phys. Crystallogr. 15, 514 (1970).
M. I. Barnik, L. M. Blinov, A. N. Trufanov, and B. A. Umanskii, Sov. Phys. JETP 46, 1016 (1977).
M. I. Barnik, L. M. Blinov, A. N. Trufanov, and B. A. Umanski, J. Phys. (Fr.) 39, 417 (1978).
Yu. P. Bobylev and S. A. Pikin, Sov. Phys. JETP 45, 195 (1977).
Yu. P. Bobylev, V. G. Chigrinov, and S. A. Pikin, J. Phys. Colloq. (Fr.) 40, 331 (1979).
A. Krekhov, W. Pesch, and Á. Buka, Phys. Rev. E 83, 051706 (2011).
R. Williams, J. Chem. Phys. 39, 384 (1963).
A. P. Kapustin and L. S. Larionova, Sov. Phys. Crystallogr. 9, 235 (1964).
Á. Buka, N. Éber, W. Pesch, and L. Kramer, in Self Assembly, Pattern Formation and Growth Phenomenain Nano-Systems, Ed. by A. A. Golovin and A. A. Nepomnyashchy (Springer, Dordrecht, 2006), p. 55.
Á. Buka, N. Éber, W. Pesch, and L. Kramer, Phys. Rep. 448, 115 (2007).
E. F. Carr, Mol. Cryst. Liq. Cryst. 7, 253 (1969).
W. Helfrich, J. Chem. Phys. 51, 4092 (1969).
E. Bodenschatz, W. Zimmermann, and L. Kramer, J. Phys. 49, 1875 (1988).
M. Goscianski and L. Legel, J. Phys. (France) 36, 231 (1975)
L. M. Blinov, M. I. Barnik, V. T. Lazareva, and A. N. Trufanov, J. Phys. (Fr.) 40, 263 (1979).
E. Kochowska, Sz. Nemeth, G. Pelzl, and Á. Buka, Phys. Rev. E 70, 011711 (2004).
T. Tóth-Katona, A. Cauquil-Vergnes, N. Éber, and Á. Buka, Phys. Rev. E 75, 066210 (2007).
P. Kumar, S. N. Patil, U. S. Hiremath, and K. S. Krishnamurthy, J. Phys. Chem. B 111, 8792 (2007).
A. Krekhov, W. Pesch, N. Éber, T. Tóth-Katona, and Á. Buka, Phys. Rev. E 77, 021705 (2008).
T. Tóth-Katona, N. Éber, Á. Buka, and A. Krekhov, Phys. Rev. E 78, 036306 (2008).
M. May, W. Schöpf, I. Rehberg, A. Krekhov, and Á. Buka, Phys. Rev. E 78, 046215 (2008).
E. Plaut, W. Decker, A. G. Rossberg, L. Kramer, W. Pesch, A. Belaidi, and R. Ribotta, Phys. Rev. Lett. 79, 2367 (1997).
S. Rudroff, H. Zhao, L. Kramer, and I. Rehberg, Phys. Rev. Lett. 81, 4144 (1998).
S. Rudroff, V. Frette, and I. Rehberg, Phys. Rev. E 59, 1814 (1999).
E. Plaut and W. Pesch, Phys. Rev. E 59, 1747 (1999).
M. Dennin, Phys. Rev. E 62, 6780 (2000).
S. Hirata and T. Tako, Jpn. J. Appl. Phys. 20, L459 (1981).
A. N. Chuvyrov and V. G Chigrinov, Sov. Phys. JETP 60, 101 (1984).
V. A. Delev, O. A. Scaldin, and A. N. Chuvyrov, Liq. Cryst. 12, 441 (1992).
V. A. Delev, O. A. Skaldin, and A. N. Chuvyrov, Sov. Phys. Crystallogr. 37, 854 (1992).
E. S. Batyrshin, V. A. Delev, and A. N. Chuvyrov, Crystal. Rep. 44, 506 (1999).
V. A. Delev, E. S. Batyrshin, O. A. Scaldin, and A. N. Chuvyrov, Mol. Cryst. Liq. Cryst. 329, 499 (1999).
V. A. Delev, O. A. Scaldin, E. S. Batyrshin, and E. G. Axelrod, Tech. Phys. 56, 8 (2011).
E. S. Batyrshin, A. P. Krekhov, O. A. Scaldin, and V. A. Delev, J. Exp. Theor. Phys. 114, 1052 (2012).
O. G. Akhmetshin, O. A. Skaldin, V. A. Delev, and A. N. Chuvyrov, Tech. Phys. Lett. 20, 853 (1994).
O. G. Akhmetshin, V. A. Delev, and O. A. Scaldin, Mol. Cryst. Liq. Cryst. 265, 315 (1995).
A. Hertrich, A. P. Krekhov, and W. Pesch, J. Phys. (France) 5, 733 (1995).
V. A. Delev and A. P. Krekhov, Mol. Cryst. Liq. Cryst. 366, 2693 (2001).
V. A. Delev, A. P. Krekhov, and L. Kramer, Mol. Cryst. Liq. Cryst. 366, 2701 (2001).
V. A. Delev and O. A. Skaldin, Tech. Phys. Lett. 30, 679 (2004).
S. P. Palto, N. J. Mottram, and M. A. Osipov, Phys. Rev. E 75, 061707 (2007).
B. A. Umanskii, L. M. Blinov, and M. I. Barnik, Sov. Tech. Phys. Lett. 6, 87 (1980).
B. A. Umanskii, V. G. Chigrinov, L. M. Blinov, and Yu. B. Podyachev, Sov. Phys. JETP 54, 694 (1981).
T. Börzsönyi, Á. Buka, A. P. Krekhov, O. A. Scaldin, and L. Kramer, Phys. Rev. Lett. 84, 1934 (2000).
T. Börzsönyi, Á. Buka, A. P. Krekhov, and L. Kramer, Phys. Rev. E 58, 7419 (1998).
A. Krekhov, B. Dressel, W. Pesch, V. Delev, and E. Batyrshin, Phys. Rev. E 92, 062510 (2015).
T. Takahashi, S. Hashidate, H. Nishijou, M. Usui, M. Kimura, and T. Akahane, Jpn. J. Appl. Phys. 37, 1865 (1998).
Flexoelectricity in Liquid Crystals. Theory, Experimentsand Applications, Ed. by Á. Buka and N. Éber (World Scientific, UK, 2012).
H. P. Hinov and L. K. Vistin, J. Phys. (France) 40, 269 (1979).
W. Zimmermann and L. Kramer, Phys. Rev. Lett. 55, 402 (1985).
N. V. Madhusudana, V. A. Raghunathan, and K. R. Sumathy, J. Phys. 28, L311 (1987).
W. Thom, W. Zimmermann, and L. Kramer, Liq. Cryst. 4, 309 (1989).
A. Hertrich, W. Decker, W. Pesch, and L. Kramer, J. Phys. (Fr.) 2, 1915 (1992).
F. H. Busse and E. W. Bolton, J. Fluid. Mech. 146, 115 (1984).
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (Krieger, Dordrecht, 1984).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1981).
H. Zhao and L. Kramer, Phys. Rev. E 62, 5092 (2000).
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Original Russian Text © V.A. Delev, A.P. Krekhov, 2017, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2017, Vol. 152, No. 6, pp. 1414–1430.
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Delev, V.A., Krekhov, A.P. Structural Transformations in Nematic Liquid Crystals with a Hybrid Orientation. J. Exp. Theor. Phys. 125, 1208–1221 (2017). https://doi.org/10.1134/S1063776117120032
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DOI: https://doi.org/10.1134/S1063776117120032