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Onset of parametric electroconvection in a nematic liquid crystal

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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.

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References

  1. S. A. Pikin, Structural Transformation in Liquid Crystals (Nauka, Moscow, 1981) [in Russian].

    Google Scholar 

  2. E. Dubois-Violette, P. G. de Gennes, and O. Parodi, J. Phys. (France) 32, 305 (1971).

    Article  Google Scholar 

  3. E. Dubois-Violette, J. Phys. (France) 33, 95 (1972).

    Article  Google Scholar 

  4. T. John and R. Stannarius, Phys. Rev. E 70, 025202(R) (2004).

    Article  ADS  Google Scholar 

  5. R. Stannarius, J. Heuer, and T. John, Phys. Rev. E 72, 066218 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  6. A. N. Mordvinov and B. L. Smorodin, Zh. Tekh. Fiz. 79(5), 59 (2009) [Tech. Phys. 54, 661 (2009)].

    Google Scholar 

  7. S. Kai and K. Hirakawa, Prog. Theor. Phys. Suppl. 64, 212 (1978).

    Article  ADS  Google Scholar 

  8. M. Treiber and L. Kramer, Mol. Cryst. Liq. Cryst. 261, 311 (1995).

    Article  Google Scholar 

  9. M. Treiber and L. Kramer, Phys. Rev. E 58, 1973 (1998).

    Article  ADS  Google Scholar 

  10. G. Dangelmayr and I. Oprea, Mol. Cryst. Liq. Cryst. 413, 305 (2004).

    Article  Google Scholar 

  11. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Dover, New York, 1987).

    Google Scholar 

  12. D. A. Coddington and N. Levinson, Theory of Ordinary Differential Eguations (McGraw-Hill, New York, 1955; Inostrannaya Literatura, Moscow, 1958).

    Google Scholar 

  13. E. N. Kozhevnikov and Ya. V. Kucherenko, Zh. Tekh. Fiz. 79(10), 95 (2008) [Tech. Phys. 54, (2008)].

    Google Scholar 

  14. L. M. Blinov, Usp. Fiz. Nauk 114, 67 (1974) [Sov. Phys. Usp. 17, 658 (1975)].

    Article  Google Scholar 

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Original Russian Text © A.N. Mordvinov, B.L. Smorodin, 2011, published in Zhurnal Tekhnicheskoĭ Fiziki, 2011, Vol. 81, No. 5, pp. 89–96.

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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

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