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Published in

American Physical Society, Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, 4(54), p. 3783-3792, 1996

DOI: 10.1103/physreve.54.3783

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

Journal article published in 1996 by N. Vaupotic, S. Kralj, M. Čopič, M. Copic, T. J. Sluckin ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

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.