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Nonequilibrium pattern formation in chiral liquid crystal films

Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, 2007.
Authors: T. Okuzono and Y. Tabe
Editors: Luciano Pietronero and Vittorio Loreto and Stefano Zapperi
URL: http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=696
Tags: chirality crystal dynamics effect film lehmann liquid nonequilibrium smectic statphys23 topic-4
Abstract: Liquid crystal films exhibit various spatial patterns in equilibrium or spatio-temporal ones in nonequilibrium states. It has been observed that orientations of liquid crystal molecules in chiral smectic films collectively rotate when the transmembrane vapor flux exists and this rotation causes formation of macroscopic patterns (Y. Tabe and H. Yokoyama, Nature Mater. vol.2 (2003) p.806). This phenomenon can be understood as a two-dimensional analogue of the Lehmann effect which is explained as a result of a peculiar dynamical coupling due to chirality between a certain flux and torque. However, simple Lehmann-type models do not explain enough the observed phenomena. In such models the observed patterns are only due to the boundary effect. Here we propose a model with two order parameters, introducing a chiral order parameter field in addition to the so-called c-vector field which denotes the in-plane orientation of the liquid crystal molecules. In terms of these two fields we construct a phenomenological model which describes nonequilibrium dynamics of chiral liquid crystal films. Using this model, we show numerically that a finite amplitude perturbation causes self-organized formation of the target patterns associated with the orientation which is observed in the experiments.
| URL | BibTeX  
@incollection{statphys23_0696,
title = {Nonequilibrium pattern formation in chiral liquid crystal films},
address = {Genova, Italy},
author = {T. Okuzono and Y. Tabe},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Luciano Pietronero and Vittorio Loreto and Stefano Zapperi},
month = {9-13 July},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=696},
year = {2007},
abstract = {Liquid crystal films exhibit various spatial patterns in equilibrium or spatio-temporal ones in nonequilibrium states. It has been observed that orientations of liquid crystal molecules in chiral smectic films collectively rotate when the transmembrane vapor flux exists and this rotation causes formation of macroscopic patterns (Y. Tabe and H. Yokoyama, Nature Mater. vol.2 (2003) p.806). This phenomenon can be understood as a two-dimensional analogue of the Lehmann effect which is explained as a result of a peculiar dynamical coupling due to chirality between a certain flux and torque. However, simple Lehmann-type models do not explain enough the observed phenomena. In such models the observed patterns are only due to the boundary effect. Here we propose a model with two order parameters, introducing a chiral order parameter field in addition to the so-called c-vector field which denotes the in-plane orientation of the liquid crystal molecules. In terms of these two fields we construct a phenomenological model which describes nonequilibrium dynamics of chiral liquid crystal films. Using this model, we show numerically that a finite amplitude perturbation causes self-organized formation of the target patterns associated with the orientation which is observed in the experiments.},
keywords = {chirality crystal dynamics effect film lehmann liquid nonequilibrium smectic statphys23 topic-4 }
}