Abstract
The spatially periodic structure arising in a planar layer of a nematic liquid crystal in oscillating Couette flow is described theoretically. The analysis of this effect is based on the hydrodynamic equations for nematic liquid crystals, from which a self-consistent system of equations is singled out for perturbations of hydrodynamic variables. It is shown that the structure and threshold parameters of the effect depend on the oscillation frequency and the layer thickness through the scaling combination ωh 2. The dependence of the configuration of distortions on the viscosity α3 is analyzed.
Similar content being viewed by others
References
A. P. Kapustin and O. A. Kapustina, Acoustics of Liquid Crystals (Nauka, Moscow, 1986) [in Russian].
G. N. Belova and E. I. Remizova, Akust. Zh. 31(3), 289 (1985) [Sov. Phys. Acoust. 31, 171 (1985)].
T. Börsönyu, A. Buka, A. P. Krekhov, and L. Kramer, Phys. Rev. E 58, 7419 (1998).
E. Guazelli and E. Guyon, J. Phys. (Paris) 43, 915 (1982).
S. J. Hogan, T. Mullen, and P. Woodford, Proc. R. Soc. London, Ser. A 441, 559 (1993).
P. Pieransky and E. Gyyon, Phys. Rev. A: At., Mol, Opt. Phys. 9(1), 404 (1974).
E. Guyon and P. Pieransky, J. Phys. Coll. (Paris) 36(3), c1–203 (1975).
D. N. Anikeev and O. A. Kapustina, Zh. Éksp. Teor. Fiz. 110(4(10)), 1328 (1996) [JETP 83, 731 (1996)].
P. Manneville and E. Dubois-Violette, J. Phys. (Paris) 37(4), 285 (1976).
E. Dubois-Violette, E. Gyuon, I. Janossy, et al., J. Mec. 16(5), 773 (1977).
P. Manneville, J. Phys. (Paris) 40(7), 713 (1979).
V. N. Reshetov, Akust. Zh. 31(5), 639 (1985) [Sov. Phys. Acoust. 31, 383 (1985)].
O. S. Tarasov, A. P. Krehov, and L. Kramer, arXive:condmat/0205399, Vol. 1, 2004.
P.-G. de Gennes, The Physics of Liquid Crystals (Claredon Press, Oxford, 1974; Mir, Moscow, 1977).
M. J. Stephen and J. P. Straley, Rev. Mod. Phys. 46, 617 (1974).
Author information
Authors and Affiliations
Additional information
Original Russian Text © E.N. Kozhevnikov, 2006, published in Kristallografiya, 2006, Vol. 51, No. 4, pp. 714–721.
Rights and permissions
About this article
Cite this article
Kozhevnikov, E.N. Domain structure of a planar layer of a nematic liquid crystal in oscillating Couette flow. Crystallogr. Rep. 51, 672–679 (2006). https://doi.org/10.1134/S1063774506040225
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063774506040225