Identyfikatory
DOI
Warianty tytułu
Języki publikacji
Abstrakty
This paper presents the investigation results of spatial chaotization of an optical field scattered by liquid crystals during phase transition liquid–liquid crystal under an electric field. Two stochastic parameters of the field, namely, Lyapunov’s maximal index and correlation exponent were chosen for this study. It has been established that maximum variances of phase inhomogeneities of the nematic liquid crystal correspond to maximum fluctuations of an order parameter under the temperature of phase transition liquid–liquid crystal. It has been found that the analysis of the radiation field scattered during the phase transition process in the liquid–liquid crystal allows to accurately determine the phase transition temperature and voltage of forming Williams’s domains.
Czasopismo
Rocznik
Tom
Strony
555--566
Opis fizyczny
Bibliogr. 22 poz., rys., wykr.
Twórcy
autor
- Correlation Optics Department, Chernivtsi University, 2 Kotsyubinsky St., Chernivtsi, 58012 Ukraine
autor
- Correlation Optics Department, Chernivtsi University, 2 Kotsyubinsky St., Chernivtsi, 58012 Ukraine
Bibliografia
- [1] VICSEK T., ZAFEIRIS A., Collective motion, Physics Reports 517(3–4), 2012, pp. 71–140.
- [2] MARCHETTI M.C., JOANNY J.F., RAMASWAMY S., LIVERPOOL T.B., PROST J., MADAN RAO, ADITI SIMHA R., Hydrodynamics of soft active matter, Reviews of Modern Physics 85(3), 2013, pp. 1143–1189.
- [3] NARAYAN V., RAMASWAMY S., MENON N., Long-lived giant number fluctuations in a swarming granular nematic, Science 317(5834), 2007, pp. 105–108.
- [4] RAMASWAMY S., ADITI SIMHA R., TONER J., Active nematics on a substrate: giant number fluctuations and long-time tails, Europhysics Letters 62(2), 2003, pp. 196–202.
- [5] HEILMEIER G.H., ZANONI L.A., BARTON L.A., Dynamic scattering: A new electrooptic effect in certain classes of nematic liquid crystals, Proceedings of the IEEE 56(7), 1968, pp. 1162–117.
- [6] HELFRICH W., Conduction-induced alignment of nematic liquid crystals: basic model and stability considerations, The Journal of Chemical Physics 51, 1969, pp. 4092–4105.
- [7] WILLIAMS R., Domains in liquid crystals, The Journal of Chemical Physics 39(2), 1963, pp. 384–388.
- [8] TEANEY D., MIGLIORI A., Current- and magnetic-field-induced order and disorder in ordered nematic liquid crystals, Journal of Applied Physics 41(3), 1970, pp. 998–999.
- [9] MURIEL M.A., MARTIN-PEREDA J.A., Liquid-crystal electro-optic modulator based on electrohydrodynamic effects, Optics Letters 5(11), 1980, pp. 494–495.
- [10] KAI S., Electrohydrodynamic instability of nematic liquid crystals: growth process and influence of noise, [In] Noise in Nonlinear Dynamical Systems. Volume 3, Experiments and Simulations, [Eds.] Moss F., McClintock P.V.E., Cambridge University Press, 1989, pp. 22–76.
- [11] BODENSCHATZ E., ZIMMERMANN W., KRAMER L., On electrically driven pattern-forming instabilities in planar nematics, Journal de Physique France 49(11), 11, 1988, pp. 1875–1899.
- [12] GAVRYLYAK M.S., MAKSIMYAK P.P., Stochastization of optical radiation scattered by liquid crystals, Proceedings of SPIE 6254, 2006, article 62541C.
- [13] KONDRAT S., PONIEWIERSKI A., HARNAU L., Orientational phase transition and the solvation force in a nematic liquid crystal confined between inhomogeneous substrates, The European Physical Journal E 10(2), 2003, pp. 163–170.
- [14] BEKSHAEV A.YA., ANGELSKY O.V., HANSON S.G., ZENKOVA C.YU., Scattering of inhomogeneous circularly polarized optical field and mechanical manifestation of the internal energy flows, Physical Review A 86(2), 2012, article 023847.
- [15] ANGELSKY O.V., POLYANSKII P.V., FELDE C.V., The emerging field of correlation optics, Optics and Photonics News 23(4), 2012, pp. 25–29.
- [16] NEIMARK YU.I., LANDA P.S., Stochastic and Chaotic Oscillations, Springer, 1992, pp. 34–53.
- [17] ARNOLD L., WIHSTUTZ V., Lyapunov exponents: a survey, [In] Lyapunov Exponents, [Eds.] Arnold L., Wihstutz V., Lecture Notes in Mathematics, Vol. 1186, 1986, pp. 1–26.
- [18] GAVRYLYAK M.S., MAKSIMYAK A.P., MAKSIMYAK P.P., Correlation method for measuring the largest Lyapunov exponent in optical fields, Ukrainian Journal of Physical Optics 9(2), 2008, pp. 119–127.
- [19] ANGELSKY O.V., MAKSIMYAK P.P., PERUN T.O., Optical correlation method for measuring spatial complexity in optical fields, Optics Letters 18(2), 1993, pp. 90–92.
- [20] BOGDANOV D.L., GHEVORKYAN E.V., LAGUNOV A.S., Acoustical properties of liquid crystals in a rotating magnetic field, Akusticheskij Zhurnal 26(1), 1980, pp. 28–34.
- [21] ANGELSKY O.V., USHENKO A.G., BURKOVETS D.N., USHENKO YU.A., Polarization visualization and selection of biotissue image two-layer scattering medium, Journal of Biomedical Optics 10(1), 2005, article 014010.
- [22] FRIED F., GURTIN M.E., Continuum theory of thermally induced phase transitions based on an order parameter, Physica D: Nonlinear Phenomena 68(3–4), 1993, pp. 326–343.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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