Abstract
The emergence of electric convection in a nematic liquid crystal under the action of a varying electric field is analyzed in the 1D approximation. A new mode of external field variation with subharmonic oscillations is proposed. The behavior of several classes of synchronous perturbations and subharmonic oscillations is analyzed; the evolution of the fields of the director and of the volume charge is studied. Parametric instability regions are specified and the critical frequencies of transitions between response modes are determined. Stability maps for a nematic liquid crystal are plotted on the frequency-amplitude plane.
Similar content being viewed by others
References
S. A. Pikin, Structural Transformations in Liquid Crystals (Nauka, Moscow, 1981) [in Russian].
E. Dubois-Violette, P. G. DeGennes, 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 (2004).
T. John, R. Stannarius, and J. Heuer, Phys. Rev. E 71, 056307 (2005).
T. John, R. Stannarius, and J. Heuer, Phys. Rev. E 72, 066218 (2005).
G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of Incompressible Fluids (Nauka, Moscow, 1972; Keter, Jerusalem, 1976).
E. A. Coddington and N. Levinson, Theory of Ordinary Differential Eguations (McGraw-Hill, New York, 1955; Inostranaya Literatura, Moscow, 1958).
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.N. Mordvinov, B.L. Smorodin, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 5, pp. 59–64.
Rights and permissions
About this article
Cite this article
Mordvinov, A.N., Smorodin, B.L. Electric convection in a nematic liquid crystal in a varying electric field. Tech. Phys. 54, 661–666 (2009). https://doi.org/10.1134/S1063784209050090
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784209050090