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Dynamics of cylindrical domain walls in smectic C liquid crystals

Stewart, I.W. and Wigham, E.J. (2009) Dynamics of cylindrical domain walls in smectic C liquid crystals. Journal of Physics A: Mathematical and Theoretical, 42 (23). p. 235501. ISSN 1751-8113

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Abstract

An analysis of the dynamics of cylindrical domain walls in planar aligned samples of smectic C liquid crystals is presented. A circular magnetic field, induced by an electric current, drives a time-dependent reorientation of the corresponding radially dependent director field. Nonlinear approximations to the relevant nonlinear dynamic equation, derived from smectic continuum theory, are solved in a comoving coordinated frame: exact solutions are found for a π-wall and numerical solutions are calculated for -walls. Each calculation begins with an assumed initial state for the director that is a prescribed cylindrical domain wall. Such an initial wall will proceed to expand or contract as its central core propagates radially inwards or outwards, depending on the boundary conditions for the director, the elastic constants, the magnitude of the field and the sign of the magnetic anisotropy of the liquid crystal.

Item type: Article
ID code: 19141
Keywords: continuum models, liquid crystal structure, orientational order, electric field, magnetic field, magnetic anisotropy, mechanical properties of liquids, liquid crystals, Mathematics, Physics
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
    Depositing user: Strathprints Administrator
    Date Deposited: 21 May 2010 12:02
    Last modified: 12 Apr 2013 12:10
    URI: http://strathprints.strath.ac.uk/id/eprint/19141

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