Symmetry and numerical investigation of smectic liquid crystals
Date
2009-05-21T08:28:00Z
Authors
Dada, Kim
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Abstract
Abstract
In this dissertation both smectic-A and smectic-C liquid crystals are discussed. A dynamic equation for modeling the behaviour of smectic-C liquid
crystals under the effect of an electric field is derived. The analytical
solution is obtained using Lie point symmetries. From this the steady-state
solution is obtained. The model equation is solved using a finite difference
approximation, the method of lines and pseudo-spectral methods. The
solutions are compared for accuracy and efficiency.