Abstract
The behavior of a nematic liquid crystal (NLC) in an external ac electric field is studied in terms of the weak electrolyte model. Since electroconvection of certain types of NLCs can occur in a constant field in an oscillatory mode, a quasi-periodic response of a nematic to the external action is possible in an ac field, as well as a sharp reduction of the electroconvective stability thresholds at resonance frequencies. Stability maps for NLCs are plotted on the plane of amplitude-frequency parameters of the external field. Phase portraits are constructed for subharmonic and synchronous perturbations. The optical response of a NLC in the ac electric field is studied; the time dependences of the relative intensity of light, which passed through the nematic liquid crystal cell, are obtained.
Similar content being viewed by others
References
S. A. Pikin, Structural Transformation in Liquid Crystals (Nauka, Moscow, 1981) [in Russian].
E. Dubois-Violette, P. G. de Gennes, and O. Parodi, J. Phys. (France) 32, 305 (1971).
E. Dubois-Violette, J. Phys. (France) 33, 95 (1972).
T. John and R. Stannarius, Phys. Rev. E 70, 025202(R) (2004).
R. Stannarius, J. Heuer, and T. John, Phys. Rev. E 72, 066218 (2005).
A. N. Mordvinov and B. L. Smorodin, Zh. Tekh. Fiz. 79(5), 59 (2009) [Tech. Phys. 54, 661 (2009)].
S. Kai and K. Hirakawa, Prog. Theor. Phys. Suppl. 64, 212 (1978).
M. Treiber and L. Kramer, Mol. Cryst. Liq. Cryst. 261, 311 (1995).
M. Treiber and L. Kramer, Phys. Rev. E 58, 1973 (1998).
G. Dangelmayr and I. Oprea, Mol. Cryst. Liq. Cryst. 413, 305 (2004).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1987).
D. A. Coddington and N. Levinson, Theory of Ordinary Differential Eguations (McGraw-Hill, New York, 1955; Inostrannaya Literatura, Moscow, 1958).
E. N. Kozhevnikov and Ya. V. Kucherenko, Zh. Tekh. Fiz. 79(10), 95 (2008) [Tech. Phys. 54, (2008)].
L. M. Blinov, Usp. Fiz. Nauk 114, 67 (1974) [Sov. Phys. Usp. 17, 658 (1975)].
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.N. Mordvinov, B.L. Smorodin, 2011, published in Zhurnal Tekhnicheskoĭ Fiziki, 2011, Vol. 81, No. 5, pp. 89–96.
Rights and permissions
About this article
Cite this article
Mordvinov, A.N., Smorodin, B.L. Onset of parametric electroconvection in a nematic liquid crystal. Tech. Phys. 56, 676–683 (2011). https://doi.org/10.1134/S1063784211050239
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784211050239