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Flexoelectric effect and statistical properties in polar liquid crystals

  • Liquid Crystals
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Abstract

The structural properties and flexoelectric coefficients e 1 and e 3 of polar liquid crystals (LCs) such as 4-n-pentyl-4′-cyanobiphenyl (5CB) are studied in the nematic phase by the molecular-dynamics and statistical-mechanics methods. A number of order parameters, \(\bar P_{2L} (L = 1,2,3)\) and \(\bar P_2 (r)\), and orientational correlations ξλ for the nearest and next-nearest neighbors were investigated. The calculations show the absence of spontaneous polarization \((\bar P_1 \simeq 0)\) in the nondeformed polar 5CB liquid crystal over the entire range of temperatures corresponding to the nematic phase. The origination of spontaneous polarization (characterized by two independent flexoelectric coefficients e 1 and e 3) in response to an external deformation of a 5CB sample is studied. The calculated e 1 and e 3 coefficients agree well with the experimental data for 5CB obtained by the pyroelectric method.

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References

  1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Oxford Univ. Press, Oxford, 1995; Mir, Moscow, 1982).

    Google Scholar 

  2. R. B. Meyer, Phys. Rev. Lett. 22, 918 (1969).

    Article  ADS  Google Scholar 

  3. A. V. Zakharov, A. V. Komolkin, and A. Maliniak, Phys. Rev. E 59, 6802 (1999).

    Article  ADS  Google Scholar 

  4. A. V. Zakharov and A. Maliniak, Eur. Phys. J. E 4, 85 (2001).

    Google Scholar 

  5. L. A. Rott, Statistical Theory of Molecular Systems (Nauka, Moscow, 1978).

    Google Scholar 

  6. A. V. Zakharov, S. Romano, and A. Maliniak, Phys. Rev. E 60, 1142 (1999).

    Article  ADS  Google Scholar 

  7. A. V. Zakharov and R. Y. Dong, Eur. Phys. J. E 6, 3 (2001).

    Article  ADS  Google Scholar 

  8. J. G. Gay and B. J. Berne, J. Chem. Phys. 74, 3316 (1981).

    Article  ADS  Google Scholar 

  9. A. V. Zakharov, Physica A (Amsterdam) 166, 540 (1990); Physica A (Amsterdam) 175, 327 (1991).

    ADS  Google Scholar 

  10. R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, New York, 1975; Mir, Moscow, 1978).

    Google Scholar 

  11. A. M. Somoza and P. Tarazona, Mol. Phys. 72, 911 (1991).

    Google Scholar 

  12. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Clarendon Press, Oxford, 1989).

    Google Scholar 

  13. R. Eppenga and D. Frenkel, Mol. Phys. 52, 1303 (1984).

    Google Scholar 

  14. P. R. Murthy, V. A. Raghunathan, and N. V. Madhusudana, Liq. Cryst. 14, 483 (1993).

    Google Scholar 

  15. L. M. Blinov, M. I. Barnik, M. Ozaki, et al., Phys. Rev. E 62, 8091 (2000).

    Article  ADS  Google Scholar 

  16. I. M. Sobol', Multidimensional Quadrature Formulae and Haar Functions (Nauka, Moscow, 1969).

    Google Scholar 

  17. I. S. Berezin and N. P. Zhidkov, Computing Methods, 4th ed. (Fizmatgiz, Moscow, 1969; Pergamon Press, Oxford, 1965).

    Google Scholar 

  18. A. V. Zakharov and R. Y. Dong, Phys. Rev. E 64, 031701 (2001).

    ADS  Google Scholar 

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Translated from Kristallografiya, Vol. 48, No. 4, 2003, pp. 738–744.

Original Russian Text Copyright © 2003 by Zakharov, Vakulenko.

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Zakharov, A.V., Vakulenko, A.A. Flexoelectric effect and statistical properties in polar liquid crystals. Crystallogr. Rep. 48, 686–692 (2003). https://doi.org/10.1134/1.1595197

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  • DOI: https://doi.org/10.1134/1.1595197

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