Chen Hao, Jin Chenyu
University of Luxembourg, UR en Mathématiques, Maison du nombre, 6 avenue de la Fonte, 4364 Esch-sur-Alzette, Luxembourg.
Max Planck Institute of Dynamics and Self-Organisation, Am Faßberg 17, 37077 Göttingen, Germany.
Interface Focus. 2017 Aug 6;7(4):20160114. doi: 10.1098/rsfs.2016.0114. Epub 2017 Jun 16.
It is commonly considered that the frustration between the curvature energy and the chain stretching energy plays an important role in the formation of lyotropic liquid crystals in bicontinuous cubic phases. Theoretic and numeric calculations were performed for two extreme cases: parallel surfaces eliminate the variance of the chain length; constant mean curvature surfaces eliminate the variance of the mean curvature. We have implemented a model with Brakke's Surface Evolver which allows a competition between the two variances. The result shows a compromise of the two limiting geometries. With data from real systems, we are able to recover the gyroid-diamond-primitive phase sequence which was observed in experiments.
通常认为，曲率能和链拉伸能之间的矛盾在双连续立方相中溶致液晶的形成过程中起着重要作用。针对两种极端情况进行了理论和数值计算：平行表面消除了链长的变化；常平均曲率表面消除了平均曲率的变化。我们使用布雷克表面演化器实现了一个模型，该模型允许两种变化之间存在竞争。结果显示了两种极限几何形状的折衷。利用来自实际系统的数据，我们能够重现实验中观察到的螺旋状-菱形-原始相序列。
