Abstract
A nonlinear relaxation model describing thresholdlike variation in the symmetry of a homeotropic orientational structure of a nematic liquid crystal (NLC) layer in an ultrasonic wave field has been constructed in the nonlinear hydrodynamics framework based on a molecular micromodel representing all processes in the mesophase proceeding from the behavior of a separate LC molecule. The relationship between the threshold characteristics and the ultrasound frequency, NLC mesophase layer thickness and material parameters, temperature, and parameters of the molecular micromodel is determined. The results of calculations for the frequency range containing the relaxation frequency of the NLC orientational order parameter are compared to the obtained experimental data.
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References
O. Kapustina, J. Acoust. Soc. Am. 123, 3279 (2008).
O. A. Kapustina, Crystallogr. Rep. 59 (5), 735 (2014).
I. A. Chaban, Sov. Phys. Acoust. 25, 67 (1979).
E. N. Kozhevnikov, Sov. Phys. Acoust. 26, 488 (1980).
P. G. de Gennes, The Physics of Liquid Crystals (Clarendon, Oxford, 1974; Mir, Moscow, 1977).
E. N. Kozhevnikov, Acoust. Phys. 48 (6), 687 (2002).
A. N. Semenov, Sov. Phys. JETP 85 (2), 321 (1983).
V. Osipov and E. Terentjev, Phys. Lett. A 134, 301 (1989).
V. I. Stepanov, To the Statistical Theory of Nematic Liquid Crystals (Ural Scientific Center of the Academy of Sciences of the Soviet Union, Sverdlovsk, 1982), p. 39 [in Russian].
E. N. Kozhevnikov, Acoust. Phys. 40, 369 (1994).
E. N. Kozhevnikov, Doctoral (Phys.–Math.) Dissertation (Perm State University, Perm, 1998), p. 258.
E. N. Kozhevnikov, Acoust. Phys. 40, 544 (1994).
E. N. Kozhevnikov, Acoust. Phys. 42, 705 (1996).
E. N. Kozhevnikov, Izv. Samarskogo Gos. Univ., Ser. Mekh., No. 2, 1 (2008).
N. A. Tikhomirova, L. K. Vistin’, and V. N. Nosov, Sov. Phys. Crystallogr. 17 (5), 878 (1972).
D. Eden, C. W. Garland, and R. C. Williamson, J. Chem. Soc. 58, 1861 (1973).
A. S. Sonin, Lectures on Liquid Crystals (Moscow State University, Moscow, 1974), p. 122 [in Russian].
J. S. Lee, S. L. Golub, and G. H. Brown, J. Chem. Soc. 76, 2409 (1972).
V. I. Domarkas and R. I. Kazhis, Controlling and Measuring Piezoelectric Transducers (MINTAS, Vilnius, Lithuanian SSR, 1975) [in Russian].
M. Born and E. Wolf, Principles of Optics (Pergamon, London, 1970; Nauka, Moscow, 1986).
C. A. Castro, A. Hikata, and C. Elbaum, Phys. Rev. A: At., Mol., Opt. Phys. 17, 353 (1979).
G. C. Bacri, J. Phys. (Paris) 35, 601 (1974).
S. A. Pikin, Structural Transformations in Liquid Crystals (Nauka, Moscow, 1981; Gordon and Breach, London, 1991).
L. Bergmann, Der Ultraschall und seine Anwendung in Wissenschaft und Technik (S. Hirzel, Stuttgart, 1954; Mir, Moscow, 1954) [in German and in Russian].
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Original Russian Text © O.A. Kapustina, E.N. Kozhevnikov, E.K. Negazina, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 148, No. 5, pp. 1031–1038.
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Kapustina, O.A., Kozhevnikov, E.N. & Negazina, E.K. Acoustical analog of the Fréedericksz transition in liquid crystals. J. Exp. Theor. Phys. 121, 902–908 (2015). https://doi.org/10.1134/S1063776115110151
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DOI: https://doi.org/10.1134/S1063776115110151