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arXiv 1702.04172cond-mat.soft
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竞争带来了最好的:模拟双连续立方相中溶致液晶的曲率能和链拉伸能之间的挫折

Competition brings out the best: Modeling the frustration between curvature energy and chain stretching energy of lyotropic liquid crystals in bicontinuous cubic phases

Hao Chen, Chenyu Jin

摘要:

通常认为,在双连续立方相中,曲率能和链伸展能之间的阻挫在形成溶致液晶中起着重要作用。对两种极端情况进行了理论和数值计算:平行曲面消除了链长的方差;常平均曲率曲面消除了平均曲率的方差。我们已经实现了一个模型与Brakke的表面进化,它允许两个变量之间的竞争。结果显示了两种极限几何形状的折衷。利用实际系统的数据,我们能够恢复在实验中观察到的G-D-P相序列。

英文摘要:

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 G--D--P phase sequence which was observed in experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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