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Dynamics and Green’s Functions of Uniaxial Nematic Liquid Crystals

DOI: 10.4236/oalib.preprints.1200097, PP. 1-18

Subject Areas: Condensed State Physics

Keywords: Uniaxial Nematic Liquid Crystals, Hamiltonian Approach, Green’ Functions, Spontaneously Broken Symmetry

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Dynamics of uniaxial nematic liquid crystals with rod-shaped and disc-shaped molecules in an external field is considered. For the systems under study thermodynamics is constructed and nonlinear dynamic equations accounting for the internal spatial anisotropy and molecules shape are derived. Densities of additive integrals of motion and corresponding flow densities are introduced in terms of thermodynamic potential. Analytical structure of low-frequency asymptotics of two-time Green’s functions is calculated and their characteristics in the region of small wave vectors and frequencies are studied. It is shown that unlike other condensed media with spontaneously broken symmetry low-frequency asymptotics of Green’s functions of considered liquid crystals do not contain divergences of Bogolyubov type.

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Kovalevsky, M. and Matskevych, V. (2014). Dynamics and Green’s Functions of Uniaxial Nematic Liquid Crystals. Open Access Library PrePrints, 1, e097. doi:


[1]  de Gennes, P.G. and Prost, J. (1995) Physics of Liquid Crystals. Oxford: Clarendon Press.
[2]  Ericksen, J.L. (1961) Conservation laws for liquid crystals Trans. Soc. Rheol,. 5, 23-34.
[3]  Leslie,F.M. (1979) Theory of flow phenomena in liquid crystals Advances in Liquid Crystals, 4, 1-81.
[4]  Martin, P.C., Parodi, O. and Pershan, P.J. (1972) Unified hydrodynamic theory for crystals, liquid crystals and normal fluids Phys. Rev. A., 6, 2401-20.
[5]  Volovick, G.E. (1980) Connection between the shape of the molecules and hydrodynamics in nematic JETP Letters, 31, 297-300 (in Russian).
[6]  Isayev, A., Kovalevsky, M. and Peletminsky, S. (1994) On construction of Poisson brackets and dynamics of liquid crystals Mod. Phys. Lett. B., 8, 677-686.
[7]  Beris, A.N. and Edwards, B.J. (1994) Thermodynamics of Flowing Systems with Internal Microstructure. Oxford: Oxford University Press.
[8]  Goldstone, J., Salam, A. and Weinberg, S. (1962) Broken symmetries Phys. Rev., 127, 965-970.
[9]  Akhiezer, A.I. and Peletminsky, S.V. (1981) Methods of statistical physics. Oxford: Pergamon Press.
[10]  Kovalevsky, M.Y. and Peletminsky, S.V. (2006) Statistical mechanics of quantum liquids and crystals. Moscow: Fizmatlit (in Russian).
[11]  Dzyaloshinsky, I.E. and Volovick, G.E. (1980) Poisson brackets in condensed matter physics Ann. Phys., 125, 67-97.
[12]  Isaev, A.A., Kovalevsky, M.Y. and Peletminsky, S.V. (1996) Hamiltonian approach to the theory of condensed media with spontaneously broken symmetry JINR, 27, 431-492 (in Russian).
[13]  Ivashin, A.P., Kovalevsky, M.Y. and Logvinova, L.V. (2004) Dynamics of nematic liquid crystals with conformational degrees of freedom J. Quant. Chem., 100, 636-644.
[14]  Kleman, M. and Lavrentovich, O. (2002) Soft matter physics: an introduction (partially ordered systems). New-York: Springer.
[15]  Lebedev, V.V. and Katz, E.M. (1988) Dynamics of liquid crystals. Moscow: Nauka (in Russian).
[16]  Kovalevsky, M.Y., Logvinova, L.V. and Matskevych, V.T. (2009) Investigation of the influence of molecule deformation on the dynamics and collective excitation spectra in nematic liquid crystals JINR, 40, 704-753.
[17]  Bogolyubov, N.N. (1963) Quasiaverages in statistical mechanics Preprint JINR, 1451 (in Russian).
[18]  Selinger, J.V., Spector, M.S., Greanya, V.A., Weslowski, B.T., Shenoy, D.K. and Shashidhar, R. (2002) Acoustic realignment of nematic liquid crystals Phys. Rev. E., 66, 051708-1-7.
[19]  Greanya, V.A., Spector, M.S., Selinger, J.V., Weslowski, B.T. and Shashidhar, R. (2003) Acousto-optic response of nematic liquid crystals J. Appl. Phys., 94, 7571-75.
[20]  Malanoski, A.P., Greanya, V.A., Weslowski, B.T., Spector, M.S., Selinger, J.V. and Shashidhar, R. (2004) Theory of the acoustic realignment of nematic liquid crystals Phys. Rev. E., 69, 021705-1-8.
[21]  Greanya, V.A., Malanoski, A.P., Weslowski, B.T., Spector, M.S. and Selinger, J.V. (2005) Dynamics of the acousto-optic effect in a nematic liquid crystal Liq. Cryst., 32, 933-941.
[22]  Forster, D. (1995) Hydrodynamic fluctuations, broken symmetry and correlation functions. New York: Westview Press.
[23]  Bogolyubov, N.N. and Bogolyubov, N.N. (Jr) (1984) Introduction in quantum statistical mechanics. Moscow: Nauka (in Russian).
[24]  Holovko, M.F., Sokolovska, T.G. (1999) Analytical solution of the Ornstein-Zernike equation with the mean spherical closure for a nematic phase J. Mol. Liq., 82, 161-181.


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