Ferroelectric ordering in chiral smectic- C* liquid crystals determined by nonchiral intermolecular interactions
Osipov, M.A. and Gorkunov, M.V. (2008) Ferroelectric ordering in chiral smectic- C* liquid crystals determined by nonchiral intermolecular interactions. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 77 (3). 031701. ISSN 2470-0053 (https://doi.org/10.1103/PhysRevE.77.031701)
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Abstract
General microscopic mechanism of ferroelectric ordering in chiral smectic-C* liquid crystals is considered. It is shown that if the mesogenic molecules have a sufficiently low symmetry, the spontaneous polarization is proportional to one of the biaxial vector order parameters of the smectic-C phase. This order parameter may be determined by intermolecular interactions which are not sensitive to molecular chirality. At the same time, the polarization is also proportional to a pseudoscalar parameter which vanishes if the molecules are nonchiral. The general statistical theory of ferroelectric ordering is illustrated by two particular models. The first model is based on electrostatic quadrupole-quadrupole interactions, and it enables one to obtain explicit analytical expressions for the spontaneous polarization. In the second model, the molecular chirality and polarity are determined by a pair of off-center nonparallel dipoles. For this case, the spontaneous polarization is calculated numerically as a function of temperature. The theory provides a more general interpretation of the previous approaches including the classical Boulder model.
ORCID iDs
Osipov, M.A. ORCID: https://orcid.org/0000-0002-1836-1854 and Gorkunov, M.V.;-
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Item type: Article ID code: 6480 Dates: DateEvent7 March 2008PublishedSubjects: Science > Physics > Plasma physics. Ionized gases
Science > PhysicsDepartment: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > MathematicsDepositing user: Miss Darcy Spiller Date deposited: 08 Jul 2008 Last modified: 27 Sep 2024 00:41 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/6480