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Dynamic theory for smectic A liquid crystals

Stewart, I.W. (2007) Dynamic theory for smectic A liquid crystals. Continuum Mechanics and Thermodynamics, 18 (6). pp. 343-360. ISSN 0935-1175

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Abstract

A dynamic continuum theory is presented for smectic A liquid crystals in which the usual director n and unit layer normal a do not always necessarily coincide. Most previous dynamic continuum theories equate n with a; the theory developed in this article allows n and a to differ in non-equilibrium situations, work that has been motivated by the recent investigations by Auernhammer et al. (Rheol. Acta 39, 215-222, 2000; Phys. Rev. E 66, 061707, 2002) and Soddemann et al. (Eur. Phys. J. E 13, 141-151, 2004). The usual Oseen constraint () for smectics is not imposed upon the unit normal a. Permeation is also included. After a summary of the complete dynamic equations, an application is given via an example which shows that planar aligned layers of smectic A subjected to an arbitrary periodic disturbance are linearly stable.