najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-4-489-500najo-1029Research ArticleСтатьиThe interaction of polarization charges in freely suspended smectic-C* filmsThe interaction of polarization charges in freely suspended smectic-C* filmsMurichD. A.MurichD. A.

Ul'yanovskaya, 1, Petrodvoretz, Saint Petersburg 198504

Ul'yanovskaya, 1, Petrodvoretz, Saint Petersburg 198504

murichdim@mail.ruRomanovV. P.RomanovV. P.

Ul'yanovskaya, 1, Petrodvoretz, Saint Petersburg 198504

Ul'yanovskaya, 1, Petrodvoretz, Saint Petersburg 198504

Ul'yanovS. V.Ul'yanovS. V.

Ul'yanovskaya, 1, Petrodvoretz, Saint Petersburg 198504

Saint Petersburg 194021

Ul'yanovskaya, 1, Petrodvoretz, Saint Petersburg 198504

Saint Petersburg 194021

ulyanov_sv@mail.ruSaint Petersburg State UniversityRussian FederationSaint Petersburg State University; Saint Petersburg State University of Commerce and EconomicsRussian Federation20151608202564489500Copyright © Murich D.A., Romanov V.P., Ul'yanov S.V., 20252025Murich D.A., Romanov V.P., Ul'yanov S.V.Murich D.A., Romanov V.P., Ul'yanov S.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1029

The uctuations of the director orientation in a freely suspended smectic-C* film were theoretically investigated. In the free energy expression of the film, not only were the elastic energy and the weak external electric field interaction considered, the interaction of polarization charges arising from uctuations of the polarization vector were also included. The correlation function of the director uctuations was obtained for a film of finite thickness. Calculations of light scattering intensity were provided. It has been found that due to the interaction of polarization charges, the angular dependence of the scattering intensity significantly depends on the magnitude of spontaneous polarization.

smectic-C*freely suspended filmspolarization chargescorrelation functionlight scattering intensityThe authors acknowledge Saint Petersburg State University for research Grants No. 11.37.145.2014 and No. 11.37.161.2014, and the Russian Foundation for Basic Research for Grant No. 13-02-01255-a.The authors acknowledge Saint Petersburg State University for research Grants No. 11.37.145.2014 and No. 11.37.161.2014, and the Russian Foundation for Basic Research for Grant No. 13-02-01255-a.ReferencesDe Gennes P.G., Prost J. The Physics of Liquid Crystals. Clarendon, Oxford, UK, 1993, 597 p.De Gennes P.G., Prost J. The Physics of Liquid Crystals. Clarendon, Oxford, UK, 1993, 597 p.Demus D., Goodby J., Gray G.W., Spiess H.-W., Vill V. Handbook of Liquid Crystals. Wiley-VCH, Weinheim, 1998, Vol. 2B., 491-1009.Demus D., Goodby J., Gray G.W., Spiess H.-W., Vill V. Handbook of Liquid Crystals. Wiley-VCH, Weinheim, 1998, Vol. 2B., 491-1009.Takezoe H., Gorecka E., Cepic M. Antiferroelectric liquid crystals: Interplay of simplicity and complexity. Rev. Mod. Phys., 2010, 82(1), P. 897–938.Takezoe H., Gorecka E., Cepic M. Antiferroelectric liquid crystals: Interplay of simplicity and complexity. Rev. Mod. Phys., 2010, 82(1), P. 897–938.Young C.Y., Pindak R., Clark N.A., Meyer R.B. Light-Scattering Study of Two-Dimensional Molecular-Orientation Fluctuations in a Freely Suspended Ferroelectric Liquid-Crystal Film. Phys. Rev. Lett., 1978, 40, P. 773–776.Young C.Y., Pindak R., Clark N.A., Meyer R.B. Light-Scattering Study of Two-Dimensional Molecular-Orientation Fluctuations in a Freely Suspended Ferroelectric Liquid-Crystal Film. Phys. Rev. Lett., 1978, 40, P. 773–776.Rosenblatt C., Pindak R., Clark N.A., Meyer R.B. Freely Suspended Ferroelectric Liquid-Crystal Films: Absolute Measurements of Polarization, Elastic Constants, and Viscosities. Phys. Rev. Lett., 1979, 42, P. 1220–1223.Rosenblatt C., Pindak R., Clark N.A., Meyer R.B. Freely Suspended Ferroelectric Liquid-Crystal Films: Absolute Measurements of Polarization, Elastic Constants, and Viscosities. Phys. Rev. Lett., 1979, 42, P. 1220–1223.Rosenblatt C., Meyer R.B., Pindak R., Clark N.A. Temperature behavior of ferroelectric liquid-crystal thin films: A classical XY system. Phys. Rev. A, 1980, 21, P. 140-147.Rosenblatt C., Meyer R.B., Pindak R., Clark N.A. Temperature behavior of ferroelectric liquid-crystal thin films: A classical XY system. Phys. Rev. A, 1980, 21, P. 140-147.Lu M.H., Crandall K.A., Rosenblatt C. Polarization-induced renormalization of the B1 elastic modulus in a ferroelectric liquid crystal. Phys. Rev. Lett., 1992, 68, P. 3575–3578.Lu M.H., Crandall K.A., Rosenblatt C. Polarization-induced renormalization of the B1 elastic modulus in a ferroelectric liquid crystal. Phys. Rev. Lett., 1992, 68, P. 3575–3578.Lu M.H., Rosenblatt C., Petschek R.G. Ion-director coupling in a ferroelectric liquid crystal. Phys. Rev. E, 1993, 47, P. 1139–1143.Lu M.H., Rosenblatt C., Petschek R.G. Ion-director coupling in a ferroelectric liquid crystal. Phys. Rev. E, 1993, 47, P. 1139–1143.Lee J.B., Pelcovits R.A., Meyer R.B. Role of electrostatics in the texture of islands in free-standing ferroelectric liquid crystal films. Phys. Rev. E, 2007, 75, P. 051701(5).Lee J.B., Pelcovits R.A., Meyer R.B. Role of electrostatics in the texture of islands in free-standing ferroelectric liquid crystal films. Phys. Rev. E, 2007, 75, P. 051701(5).Shalaginov A.N. Light Scattering by Fluctuations in a ferroelectric Liquid-Crystal Cell. Optics and spectroscopy, 1998, 85(1), P. 99–105.Shalaginov A.N. Light Scattering by Fluctuations in a ferroelectric Liquid-Crystal Cell. Optics and spectroscopy, 1998, 85(1), P. 99–105.Romanov V.P., Ulyanov S.V. Anisotropy of electrostatic interaction in smectic-C* liquid crystals. Phys. Rev. E, 2014, 90(5), P. 052502(6).Romanov V.P., Ulyanov S.V. Anisotropy of electrostatic interaction in smectic-C* liquid crystals. Phys. Rev. E, 2014, 90(5), P. 052502(6).Lax M., Nelson D.F. Adventures in Green’s Land: Light Scattering in Anisotropic Mediain. In Proceedings of the Third Rochester Conference on Coherence and Quantum Optics. Plenum, New York, 1973, P. 415–445.Lax M., Nelson D.F. Adventures in Green’s Land: Light Scattering in Anisotropic Mediain. In Proceedings of the Third Rochester Conference on Coherence and Quantum Optics. Plenum, New York, 1973, P. 415–445.Langevin D., Bouchiat M.-A. Anisotropy of the turbidity of an oriented nematic liquid crystal. J. Phys. (Paris), 1975, Colloq. 36, C1-197-C1-202.Langevin D., Bouchiat M.-A. Anisotropy of the turbidity of an oriented nematic liquid crystal. J. Phys. (Paris), 1975, Colloq. 36, C1-197-C1-202.Val’kov A.Yu., Romanov V.P. Characteristics of propagation and scattering of light in nematic liquid crystals. Sov. Phys. JETP, 1986, 63(4), P. 737–743.Val’kov A.Yu., Romanov V.P. Characteristics of propagation and scattering of light in nematic liquid crystals. Sov. Phys. JETP, 1986, 63(4), P. 737–743.Link D.R., Chattham N., Maclennan J.E., Clark N.A. Effect of high spontaneous polarization on defect structures and orientational dynamics of tilted chiral smectic freely suspended films. Phys. Rev. E, 2005, 71(2), P. 021704(9).Link D.R., Chattham N., Maclennan J.E., Clark N.A. Effect of high spontaneous polarization on defect structures and orientational dynamics of tilted chiral smectic freely suspended films. Phys. Rev. E, 2005, 71(2), P. 021704(9).Dolganov P.V., Dolganov V.K., Cluzeau P. The Effect of Spontaneous Polarization on Two-Dimensional Elasticity of Smectic Liquid Crystals. J. Exp. Theor. Phys., 2013, 116(6), P. 1043–1049.Dolganov P.V., Dolganov V.K., Cluzeau P. The Effect of Spontaneous Polarization on Two-Dimensional Elasticity of Smectic Liquid Crystals. J. Exp. Theor. Phys., 2013, 116(6), P. 1043–1049.Pattanaporkratana A., Park C.S., Maclennan J.E., Clark N.A. Direct Measurement of Interaction Forces Between Islands on Freely Suspended Smectic C Films Using Multiple Optical Tweezers. Ferroelectrics, 2006, 344, P. 71–80.Pattanaporkratana A., Park C.S., Maclennan J.E., Clark N.A. Direct Measurement of Interaction Forces Between Islands on Freely Suspended Smectic C Films Using Multiple Optical Tweezers. Ferroelectrics, 2006, 344, P. 71–80.Vijay Kumar M., Krishna Prasad S. Composites of single walled carbon nanotubes and liquid crystals as switchable conductor. Nanosystems: Physisc, Chemistry, Mathematics, 2013, 4(3), P. 425-429.Vijay Kumar M., Krishna Prasad S. Composites of single walled carbon nanotubes and liquid crystals as switchable conductor. Nanosystems: Physisc, Chemistry, Mathematics, 2013, 4(3), P. 425-429.Bogdanov A.A., Denisov S.P., Karetnikov A.A., Kovshik A.P., Romanov V.P., Brukkel D. The effect of the cell phone radiation on a freely suspended liquid-crystal film. Nanosystems: Physisc, Chemistry, Mathematics, 2014, 5(6), P. 782–788.Bogdanov A.A., Denisov S.P., Karetnikov A.A., Kovshik A.P., Romanov V.P., Brukkel D. The effect of the cell phone radiation on a freely suspended liquid-crystal film. Nanosystems: Physisc, Chemistry, Mathematics, 2014, 5(6), P. 782–788.Ulyanov S.V., Romanov V.P., Uzdin V.M. X-ray scattering from layered nanosystems with rough interfaces. Nanosystems: Physisc, Chemistry, Mathematics, 2012, 3(3), P. 110–122.Ulyanov S.V., Romanov V.P., Uzdin V.M. X-ray scattering from layered nanosystems with rough interfaces. Nanosystems: Physisc, Chemistry, Mathematics, 2012, 3(3), P. 110–122.

The authors declare that there are no conflicts of interest present.