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Effect of the inhomogeneous structure of freely suspended smectic-A films on the dynamics of fluctuations of smectic-layer displacements

  • Liquid Crystals
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Abstract

The dynamics of fluctuations of smectic-layer displacements in freely suspended smectic-A films is studied theoretically with due regard for the dependence of the transverse-bending moduli K and extension (or compression) of smectic-B layers on the distance to the free surfaces of the films. The temperature dependences of the dynamic correlation functions are calculated for fluctuations of layer displacements in films of various thicknesses and then used to calculate the correlations between the X-ray intensities scattered by the film at different moments of time. The calculations were performed within a wide temperature range. It is shown that the influence of temperature on the X-ray dynamics of fluctuations of layer displacements in freely suspended smectic-A films can be detected in the experiments on the dynamical scattering by rather thick films (layer number N ≥ 100) at considerably high values of the recoil-momentum component in the film plane (≥106 cm−1).

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References

  1. P. Pieranski, L. Beliard, J. P. Tournellec, et al., Physica A (Amsterdam) 194, 364 (1993).

    ADS  Google Scholar 

  2. C. Rosenblatt, R. Pindak, N. A. Clark, and R. B. Meyer, Phys. Rev. Lett. 42, 1220 (1979).

    Article  ADS  Google Scholar 

  3. M. Veum, C. C. Huang, C. F. Chou, and V. Surendranath, Phys. Rev. E 56, 2298 (1997).

    Article  ADS  Google Scholar 

  4. C. Rosenblatt and N. M. Amer, Appl. Phys. Lett. 36, 432 (1980).

    Article  ADS  Google Scholar 

  5. S. Heinekamp, R. A. Pelcovits, E. Fontes, et al., Phys. Rev. Lett. 52, 1017 (1984).

    Article  ADS  Google Scholar 

  6. C. Bahr and D. Fliegner, Phys. Rev. A 46, 7657 (1992).

    Article  ADS  Google Scholar 

  7. I. Kraus, P. Pieranski, E. Demikhov, et al., Phys. Rev. E 48, 1916 (1993).

    Article  ADS  Google Scholar 

  8. T. Stoebe, P. Mach, and C. C. Huang, Phys. Rev. Lett. 73, 1384 (1994).

    Article  ADS  Google Scholar 

  9. E. I. Demikhov, V. K. Dolganov, and K. P. Meletov, Phys. Rev. E 52, 1285 (1995).

    Article  ADS  Google Scholar 

  10. V. K. Dolganov, E. I. Demikhov, R. Fouret, and C. Gors, Phys. Lett. A 220, 242 (1996).

    Article  ADS  Google Scholar 

  11. P. Johnson, P. Mach, E. D. Wedell, et al., Phys. Rev. E 55, 4386 (1997).

    Article  ADS  Google Scholar 

  12. E. A. L. Mol, G. C. L. Wong, J. M. Petit, et al., Physica B (Amsterdam) 248, 191 (1998).

    ADS  Google Scholar 

  13. S. Pankratz, P. M. Johnson, R. Holyst, and C. C. Huang, Phys. Rev. E 60, 2456 (1999).

    Article  ADS  Google Scholar 

  14. V. K. Dolganov, V. M. Zhilin, and K. P. Meletov, Zh. Éksp. Teor. Fiz. 115, 1833 (1999) [JETP 88, 1005 (1999)].

    Google Scholar 

  15. S. Pankratz, P. M. Johnson, A. Paulson, and C. C. Huang, Phys. Rev. E 61, 6689 (2000).

    Article  ADS  Google Scholar 

  16. P. Cluzeau, G. Joly, H. T. Nguyen, et al., Phys. Rev. E 62, 5899 (2000).

    Article  ADS  Google Scholar 

  17. P. Mach, S. Grantz, D. A. Debe, et al., J. Phys II 5, 217 (1995).

    Article  Google Scholar 

  18. J. D. Shindler, E. A. L. Mol, A. Shalaginov, and W. H. de Jeu, Phys. Rev. Lett. 74, 722 (1995).

    Article  ADS  Google Scholar 

  19. J. D. Shindler, E. A. L. Mol, A. Shalaginov, and W. H. de Jeu, Phys. Rev. E 54, 536 (1996).

    ADS  Google Scholar 

  20. E. A. L. Mol, G. C. L. Wong, J. M. Petit, et al., Phys. Rev. Lett. 78, 3157 (1997).

    Google Scholar 

  21. A. C. Price, L. B. Sorensen, S. D. Kevan, et al., Phys. Rev. Lett. 82, 755 (1999).

    Article  ADS  Google Scholar 

  22. A. Fera, I. P. Dolbnya, G. Grubel, et al., Phys. Rev. Lett. 85, 2316 (2000).

    Article  ADS  Google Scholar 

  23. R. Holyst and D. J. Tweet, Phys. Rev. Lett. 65, 2153 (1990).

    ADS  Google Scholar 

  24. R. Holyst, Phys. Rev. A 44, 3692 (1991).

    ADS  Google Scholar 

  25. A. Poniewerski and R. Holyst, Phys. Rev. B 47, 9840 (1993).

    ADS  Google Scholar 

  26. A. N. Shalaginov and V. P. Romanov, Phys. Rev. E 48, 1073 (1993).

    Article  ADS  Google Scholar 

  27. L. V. Mirantsev, Phys. Lett. A 205, 412 (1995).

    Article  ADS  Google Scholar 

  28. L. V. Mirantsev, Liq. Cryst. 20, 417 (1996).

    Google Scholar 

  29. Y. Martinez-Raton, A. M. Somoza, L. Mederos, and D. E. Sullivan, Phys. Rev. E 55, 2030 (1997).

    ADS  Google Scholar 

  30. L. V. Mirantsev, Phys. Rev. E 55, 4816 (1997).

    Article  ADS  Google Scholar 

  31. L. V. Mirantsev, Fiz. Tverd. Tela (St. Petersburg) 41, 1882 (1999) [Phys. Solid State 41, 1729 (1999)].

    Google Scholar 

  32. L. V. Mirantsev, Fiz. Tverd. Tela (St. Petersburg) 42, 1511 (2000) [Phys. Solid State 42, 1554 (2000)].

    Google Scholar 

  33. L. V. Mirantsev, Phys. Rev. E 62, 647 (2000).

    Article  ADS  Google Scholar 

  34. L. V. Mirantsev, Liq. Cryst. 27, 491 (2000).

    Article  Google Scholar 

  35. A. Poniewierski, R. Holyst, A. C. Price, et al., Phys. Rev. E 58, 2027 (1998).

    Article  ADS  Google Scholar 

  36. A. Poniewierski, R. Holyst, A. C. Price, and L. B. Sorensen, Phys. Rev. E 59, 3048 (1999).

    Article  ADS  Google Scholar 

  37. A. N. Shalaginov and D. E. Sullivan, Phys. Rev. E 62, 699 (2000).

    Article  ADS  Google Scholar 

  38. P. G. de Gennes, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1974; Mir, Moscow, 1977).

    Google Scholar 

  39. S. Chandrasekhar, Liquid Crystals (Cambridge Univ. Press, Cambridge, 1977; Mir, Moscow, 1980).

    Google Scholar 

  40. W. L. McMillan, Phys. Rev. A 4, 1238 (1971).

    ADS  Google Scholar 

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Translated from Kristallografiya, Vol. 48, No. 4, 2003, pp. 745–752.

Original Russian Text Copyright © 2003 by Mirantsev.

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Mirantsev, L.V. Effect of the inhomogeneous structure of freely suspended smectic-A films on the dynamics of fluctuations of smectic-layer displacements. Crystallogr. Rep. 48, 693–700 (2003). https://doi.org/10.1134/1.1595198

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  • DOI: https://doi.org/10.1134/1.1595198

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