Table of Contents
Physics Research International
Volume 2014, Article ID 294723, 5 pages
http://dx.doi.org/10.1155/2014/294723
Research Article

Cusp Catastrophe Model for Description of Bistability in Ferroelectric Liquid Crystals

1Department of General and Theoretical Physics, Bashkir State Pedagogical University, Okt. Revolutsii Street 3A, Ufa 450000, Russia
2Department of Physics, Ufa State Petroleum Technological University, Kosmonavtov Street 1, Ufa 450062, Russia
3Academy of Sciences of Bashkortostan, Kirova Street 15, Ufa 450008, Russia

Received 4 June 2014; Accepted 21 August 2014; Published 1 September 2014

Academic Editor: Anand Pathak

Copyright © 2014 Nail Migranov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a new theoretical approach for description of the equilibrium and bistable states of ferroelectric liquid crystal. A sample of ferroelectric liquid crystal is considered in the “bookshelf” geometry under the influence of electric field. Continuum and perturbation theories are used in order to establish the relation between the scale coefficients in the expansion for the azimuthal angle. The equilibrium states of ferroelectric SmC* are determined in the framework of the catastrophe theory.