Travelling waves in ferroelectric smectic C liquid crystals

Tools

Stewart, I.W. and Momoniat, E. (2004) Travelling waves in ferroelectric smectic C liquid crystals. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 69 (6). 061714-1-061714-9. ISSN 2470-0053 (http://dx.doi.org/10.1103/PhysRevE.69.061714)

Full text not available in this repository.Request a copy

Abstract

This article investigates, by means of Lie point symmetries, traveling wave solutions to a dynamic equation that frequently arises in the theory of ferroelectric smectic-C liquid crystals under the influence of an electric field. The equation considered has three sinusoidal nonlinearities and possible time-dependent solutions are discussed in the context of minima and maxima of the electric energy density for these liquid crystals: solutions travel between such constant equilibrium states. Implicit solutions to an approximation of the governing dynamic equation are determined. Nondimensional control parameters that characterize changes in the availability of equilibrium states as the magnitude of the field increases are also identified.

ORCID iDs

Stewart, I.W. ORCID logoORCID: https://orcid.org/0000-0002-4374-9842 and Momoniat, E.;
CORE (COnnecting REpositories)