Paper
1 September 2004 High-temperature chiral phases: a role of fluctuations
Lech Longa, Wojciech Jozefowicz
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Proceedings Volume 5565, XV Conference on Liquid Crystals; (2004) https://doi.org/10.1117/12.581080
Event: XV Conference on Liquid Crystals, 2003, Zakopane, Poland
Abstract
A connection between chirality at the molecular and mesoscopic scales and the corresponding macroscopic chiral structure of liquid crystalline phases is one of key issues of soft matter research. The most appropriate theoretical tools to study chirality-induced structures are statistical field theory of correlation functions and computer simulations. The correlations are calculated for the order parameter fields that enter phenomenological description of a given chiral phase, like two-point correlations for cholesterics as constructed out of the alignment tensor field. A quantity that could subsequently be derived from such correlations and used to measure chirality is, for example, the optical activity tensor or, as for bent-core systems, the traceless and symmetric third-rank tensor. In this paper we explicitly show a relation between chirality and two-point correlations of the alignment tensor field. The correlations are determined from Monte-Carlo simulations for a model isotropic liquid of chiral Gay-Berne fluid. The calculated molecular quantities are consistent with recent predictions of statistical field theory.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Lech Longa and Wojciech Jozefowicz "High-temperature chiral phases: a role of fluctuations", Proc. SPIE 5565, XV Conference on Liquid Crystals, (1 September 2004); https://doi.org/10.1117/12.581080
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KEYWORDS
Liquids

Molecules

Correlation function

Liquid crystals

Monte Carlo methods

Computer simulations

Systems modeling

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