Modeling and simulation of switchings in ferroelectric liquid crystals

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October 2010, 26(4): 1419-1440. doi: 10.3934/dcds.2010.26.1419

Modeling and simulation of switchings in ferroelectric liquid crystals

Jinhae Park ^1, , Feng Chen ^1, and Jie Shen ^2,

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

Received January 2009 Revised June 2009 Published December 2009

Abstract
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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: Antiferroelectric, Legendre collocation, Ferroelectric, Equilibrium, Switching., Smectic C, Electrostatic, Polarization.

Mathematics Subject Classification: Primary: 76A15, 82D45; Secondary: 35Q35, 65M70, 65N3.

Citation: Jinhae Park, Feng Chen, Jie Shen. Modeling and simulation of switchings in ferroelectric liquid crystals. Discrete & Continuous Dynamical Systems - A, 2010, 26 (4) : 1419-1440. doi: 10.3934/dcds.2010.26.1419

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