Abstract
The emergence of electroconvection in a nematic liquid crystal under the action of a nonharmonic electric field is investigated. Analysis is carried out using a 2D model. We propose new forms of the varying electric field acting on the system, for which subharmonic oscillations exist: (a) electric field of a trapezoidal form and (b) external field varying in accordance with the law of “joined cosines.” The behavior of synchronous excitations in the insulating and conducting regimes, as well as subharmonic oscillations, is analyzed. The parametric instability domains are found, and the critical frequencies of transition between different response regimes are determined. The stability maps of the nematic liquid crystal are constructed on the frequency-voltage amplitude plane.
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References
S. A. Pikin, Structural Transformations 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).
T. John, R. Stannarius, and J. Heuer, Phys. Rev. E 71, 056307 (2005).
R. Stannarius, J. Heuer, and T. John, 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 Equations (McGraw-Hill, New York, 1955; Inostrannaya Literatura, Moscow, 1958).
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Original Russian Text © N.N. Kartavykh, B.L. Smorodin, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 10, pp. 64–69.
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Kartavykh, N.N., Smorodin, B.L. Dynamics of electroconvective nematic liquid crystal structures in a nonharmonic electric field. Tech. Phys. 55, 1453–1458 (2010). https://doi.org/10.1134/S1063784210100099
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DOI: https://doi.org/10.1134/S1063784210100099