ABSTRACT

Based on Landau-de Gennes theory and differential iteration method, in a cylindrical shell with degenerate planar anchoring at both interfaces, the double-twist director configuration caused by large saddle-splay elasticity is investigated. The combined effects of saddle-splay elasticity and the curvature on the spontaneous chiral structure are analysed. Between opposite-handed domains, we find two domain wall structures and a new 1/2 defect ring structure. The stabilities of these structures are analysed by an energy comparison.

中文翻译：

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圆柱形向列液晶壳中的鞍形弹性诱导手性结构

摘要

基于Landau-de Gennes理论和微分迭代法，在两个界面均具有退化平面锚固的圆柱壳中，研究了大马鞍形弹性引起的双扭导向器构型。分析了鞍形弹性和曲率对自发手征结构的综合影响。在反手域之间，我们发现了两个畴壁结构和一个新的 1/2 缺陷环结构。通过能量比较分析这些结构的稳定性。