MULTISCALE MODELS OF METALLIC PARTICLES IN NEMATIC LIQUID CRYSTALS
MULTISCALE MODELS OF METALLIC PARTICLES IN NEMATIC LIQUID CRYSTALS
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DOI：
10.1137/18m1163919
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发表时间：
2018-01-01
影响因子：
1.9
通讯作者：
Daly, Keith R.
中科院分区：
文献类型：
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作者：
Bennett, Thomas P.;D'Alessandro, Giampaolo;Daly, Keith R.
本文用均匀化方法导出了一组近似方程，描述了掺杂剂为自由旋转金属粒子的双折射液晶胶体。在此之前，我们已经研究了掺杂粒子的液晶的近似行为，假设这些粒子保持静止[T。P.班尼特，G. D 'Alessandro和K. R. E，90（2014），062505，https：//doi.org/10.1103/PhysRevE.本文建立在我们以前的工作，通过扩展理论，包括旋转粒子。我们发现一组控制方程的液晶和掺杂剂颗粒。有效的材料参数明确给出的微观粒子-液晶相互作用参数的一系列细胞的问题解决的微观尺度上。我们验证了我们的模型直接比较大规模的数值模拟，并发现各种掺杂剂的形状很好的协议。
In this paper we use the method of homogenization to derive a set of approximate equations which describe a nematic liquid crystal colloid in which the dopants are freely rotating metallic particles. Previously we have studied the approximate behavior of liquid crystals doped with particles under the assumption that these remain stationary [T. P. Bennett, G. D'Alessandro, and K. R. Daly, Phys. Rev. E, 90 (2014), 062505, https://doi.org/10.1103/PhysRevE.90.062505]. This paper builds on our previous work by extending the theory to include rotating particles. We find a set of governing equations for the nematic liquid crystal and for the dopant particles. Effective material parameters are given explicitly in terms of the microscopic particle-liquid crystal interaction parameters by a sequence of cell problems solved on the microscale. We validate our model by direct comparison to large-scale numerical simulation and find excellent agreement for a variety of dopant shapes.