Effective surface energies in nematic liquid crystals as homogenised rugosity effects
Analysis of PDEs
2021-08-26 v1 Soft Condensed Matter
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.
Keywords
Cite
@article{arxiv.2108.11133,
title = {Effective surface energies in nematic liquid crystals as homogenised rugosity effects},
author = {Razvan-Dumitru Ceuca and Jamie M. Taylor and Arghir Zarnescu},
journal= {arXiv preprint arXiv:2108.11133},
year = {2021}
}