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Fluctuating interfaces in liquid crystals

Schmid, F; Germano, G; Wolfsheimer, S; Schilling, T; (2007) Fluctuating interfaces in liquid crystals. Macromolecular Symposia , 252 (1) pp. 110-118. 10.1002/masy.200750611. Green open access

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Abstract

We review and compare recent work on the properties of fluctuating interfaces between isotropic and nematic liquid-crystalline phases. Molecular dynamics and Monte Carlo simulations have been carried out for systems of ellipsoids and hard rods with aspect ratio 15:1, and the fluctuation spectrum of interface positions (the capillary wave spectrum) has been analyzed. In addition, the capillary wave spectrum has been calculated analytically within the Landau-de Gennes theory. The theory predicts that the interfacial fluctuations can be described in terms of a wave vector dependent interfacial tension, which is anisotropic at small wavelengths (stiff director regime) and becomes isotropic at large wavelengths (flexible director regime). After determining the elastic constants in the nematic phase, theory and simulation can be compared quantitatively. We obtain good agreement for the stiff director regime. The crossover to the flexible director regime is expected at wavelengths of the order of several thousand particle diameters, which was not accessible to our simulations.

Type: Article
Title: Fluctuating interfaces in liquid crystals
Open access status: An open access version is available from UCL Discovery
DOI: 10.1002/masy.200750611
Publisher version: http://dx.doi.org/10.1002/masy.200750611
Language: English
Additional information: This is the pre-peer reviewed version of the following article: Schmid, F; Germano, G; Wolfsheimer, S; Schilling, T; (2007) Fluctuating interfaces in liquid crystals. Macromolecular Symposia, 252 (1) pp. 110-118, which has been published in final form at http://dx.doi.org/10.1002/masy.200750611. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving (http://olabout.wiley.com/WileyCDA/Section/id-820227.html#terms).
Keywords: capillary waves, interfaces, liquid crystals, simulations
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/1407443
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