Hydrodynamical modes and light scattering in the liquid-crystalline cubic blue phases. II. Dynamic theory
- 1 March 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 51 (3) , 2326-2340
- https://doi.org/10.1103/physreve.51.2326
Abstract
As shown in the preceding paper, the hydrodynamical modes of the cubic blue phases are displacement modes, which are equivalent to acoustic phonons in crystal. We apply the model of a viscoelastic mixture to describe their dynamics. For the transverse modes the dispersion relations do not show the expected power-law behavior of the hydrodynamical regime. Instead they display a flat, widely extended minimum that explains the strange dynamics of light-scattering experiments in cubic blue phases. Within the kinematical theory of light scattering we propose special geometries for measuring the material parameters of the viscoelastic mixture. To understand the forescattering, commonly observed in experiments, and the strong dependence of the fluctuating light intensity on the incident wavelength, we extend our calculation to the more general dynamical theory. A qualitative interpretation of the experiments suggests that the cubic blue phases are highly anisotropic with regard to their viscous behavior.Keywords
This publication has 21 references indexed in Scilit:
- Hydrodynamical modes and light scattering in the liquid-crystalline cubic blue phases. I. Elastic theoryPhysical Review E, 1995
- Light-Scattering Study of Fluctuations in Blue-Phase IIMolecular Crystals and Liquid Crystals, 1985
- Lattice fluctuations in a "blue" phasePhysical Review A, 1984
- Anomalous Bulk Viscosity of Cholesteric Systems Exhibiting Blue PhasesMolecular Crystals and Liquid Crystals, 1982
- Shear waves in colloidal crystals : I. Determination of the elastic modulusJournal de Physique, 1980
- Acoustic shear waves in colloidal crystalsJournal of Colloid and Interface Science, 1979
- Studies of Ordered Monodisperse Latexes. II. Theory of Mechanical PropertiesJapanese Journal of Applied Physics, 1978
- Density Measurements in cholesteryl MyristateMolecular Crystals and Liquid Crystals, 1978
- Physics of liquid crystalsReviews of Modern Physics, 1974
- Capillary Flow of Cholesteric and Smectic Liquid CrystalsPhysical Review Letters, 1969