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arXiv · 2108.11133

Effective surface energies in nematic liquid crystals as homogenised rugosity effects

Razvan-Dumitru Ceuca·Jamie M. Taylor·Arghir Zarnescu
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Abstract

We study the effect of boundary rugosity in nematic liquid crystalline systems. We consider a highly general formulation of the problem, able to simultaneously deal with several liquid crystal theories. We use techniques of Gamma convergence and demonstrate that the effect of fine-scale surface oscillations may be replaced by an effective homogenised surface energy on a simpler domain. The homogenisation limit is then quantitatively studied in a simplified setting, obtaining convergence rates.

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Razvan-Dumitru Ceuca, Jamie M. Taylor, Arghir Zarnescu. 2021-08-25. Effective surface energies in nematic liquid crystals as homogenised rugosity effects. https://arxiv.org/abs/2108.11133

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