Landau-de Gennes theory of the chevron structure in a smectic liquid crystal

Vaupotic, N., Kralj, S., Copic, M. and Sluckin, T.J. (1996) Landau-de Gennes theory of the chevron structure in a smectic liquid crystal. Physical Review E, 54, (4), 3783-3792. (doi:10.1103/PhysRevE.54.3783).


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The covariant form of the Landau–de Gennes free energy is used to study the chevron structure formed by cooling from the Sm-A to the nonchiral Sm-C phase in a surface-stabilized cell with planar boundary conditions. We show that the chevron is the thermodynamic equilibrium structure. The chevron structure is studied depending on the liquid-crystal elastic properties, temperature, and the surface orientational anchoring strength. We show that the bistability of the chevron structure results from the continuity of the molecular director over the chevron tip of finite width, and is strongly dependent on the surface orientational anchoring. We estimate analytically the threshold temperature for the chevron formation and show that above this temperature the bookshelf geometry is stable. We show that the energy of the chevron interface follows a power-law dependence on reduced temperature with the exponent of 3/2.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevE.54.3783
Related URLs:
Subjects: Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29559
Accepted Date and Publication Date:
Date Deposited: 05 Jan 2007
Last Modified: 31 Mar 2016 11:55

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