Domain growth in cholesteric blue phases: Hybrid lattice Boltzmann simulations
Domain growth in cholesteric blue phases: Hybrid lattice Boltzmann simulations
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DOI：
10.1016/j.camwa.2009.08.047
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发表时间：
2009-01
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影响因子：
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通讯作者：
O. Henrich;D. Marenduzzo;K. Stratford;M. Cates
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文献类型：
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作者：
O. Henrich;D. Marenduzzo;K. Stratford;M. Cates
本文综述了一种用于求解胆甾型液晶运动方程的混合晶格玻尔兹曼算法。该方法是将Navier-Stokes方程的晶格玻尔兹曼求解法与有限差分法相结合，求解控制液晶序参量演化的动力学方程。我们应用这种方法来研究胆甾相内胆甾蓝相域的生长。我们专注于蓝色II相的生长和薄板几何形状，其中畴壁是平坦的。我们的结果表明，根据手性的不同，生长的蓝色相要么是没有缺陷或缺陷很少的BPII，要么是另一种六方有序的结构。我们希望我们的模拟将促进进一步的实验研究在微米尺寸的蓝相样品的淬火。我们的混合晶格玻尔兹曼方案可以处理的计算规模表明，新一代蓝相液晶器件的大规模模拟是可以实现的。
Here we review a hybrid lattice Boltzmann algorithm to solve the equations of motion of cholesteric liquid crystals. The method consists in coupling a lattice Boltzmann solver for the Navier–Stokes equation to a finite difference method to solve the dynamical equations governing the evolution of the liquid crystalline order parameter. We apply this method to study the growth of cholesteric blue phase domains, within a cholesteric phase. We focus on the growth of blue phase II and on a thin slab geometry in which the domain wall is flat. Our results show that, depending on the chirality, the growing blue phase is either BPII with no or few defects, or another structure with hexagonal ordering. We hope that our simulations will spur further experimental investigations on quenches in micron-size blue phase samples. The computational size that our hybrid lattice Boltzmann scheme can handle suggests that large scale simulations of new generation of blue phase liquid crystal devices are within reach.