Modeling and simulation of switchings in ferroelectric liquid crystals

Jinhae Park; Feng Chen; Jie Shen

doi:10.3934/dcds.2010.26.1419

Article Contents

2010, Volume 26, Issue 4: 1419-1440. Doi: 10.3934/dcds.2010.26.1419

This issue Previous Article Long time behavior and attractors for energetically insulated fluid systems Next Article Topological properties of the weak global attractor of the three-dimensional Navier-Stokes equations

Modeling and simulation of switchings in ferroelectric liquid crystals

1.
Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, IN 47907-2067
2.
Department of Mathematics, Purdue University, West Lafayette, IN 47907

Received: December 31, 2008

Revised: May 31, 2009

Published: November 2010

Abstract Related Papers Cited by

Abstract

Mathematical modeling and numerical simulation of smectic C liquid crystals which possess the spontaneous polarization are considered in this paper. In particular, the model allows for a system with a zero net polarization which is one of the ubiquitous systems of the polarized liquid crystals. Theoretical and numerical investigations are conducted to study effects of the energy associated with the polarization, switching patterns between two uniform states by an externally applied field and random noise, as well as a relation between polarization and applied field near the phase transition from the smectic A and smectic C.

Keywords:

Mathematics Subject Classification: Primary: 76A15, 82D45; Secondary: 35Q35, 65M70, 65N35.

Citation:

Article Metrics

HTML views() PDF downloads(51) Cited by(0)

Modeling and simulation of switchings in ferroelectric liquid crystals

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Modeling and simulation of switchings in ferroelectric liquid crystals

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content