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The helicity and vorticity of liquid-crystal flows

Gay-Balmaz, F and Tronci, C (2011) The helicity and vorticity of liquid-crystal flows Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 467 (2128). pp. 1197-1213.

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We present explicit expressions of the helicity conservation in nematic liquid-crystal flows, for both the Ericksen–Leslie and Landau–de Gennes theories. This is done by using a minimal coupling argument that leads to an Euler-like equation for a modified vorticity involving both velocity and structure fields (e.g. director and alignment tensor). This equation for the modified vorticity shares many relevant properties with ideal fluid dynamics, and it allows for vortex-filament configurations, as well as point vortices, in two dimensions. We extend all these results to particles of arbitrary shape by considering systems with fully broken rotational symmetry.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Gay-Balmaz, F
Date : 2011
DOI : 10.1098/rspa.2010.0309
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:21
Last Modified : 10 Jun 2019 13:08

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