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Original Articles

The bistable state of a twisted nematic liquid crystal cell with weak anchoring boundary

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Pages 227-236 | Received 31 May 2005, Accepted 20 Oct 2005, Published online: 21 Aug 2006
 

Abstract

On the basis of the modified general Rapini–Papoular expression for the anchoring energy, a twisted nematic liquid crystal cell has been studied analytically. In this paper, a new variable is introduced and is suitable for the calculation of the threshold point and the saturation point. The free energy being smallest in the equilibrium state, we find that bistable states can be formed from the uniform twisted state plus the disturbed state, the disturbed state plus the saturation state, and the uniform twisted state plus the saturation state.

Acknowledgements

This project is supported by the National Natural Science Foundation of China under Grant No. 10375016, the Theoretical Physics Special Foundation of National Natural Science of China No. 10447107, the Doctoral Foundation of Hebei Province under Grant No. B2001113 and No. 05547001D‐3, the Natural Science Foundation of Hebei Province under Grant No. 102001 and No. C2005000011, and the Key Project Foundation of North China Electric Power University No. 200513002.

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