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arXiv 1802.03468cond-mat.mtrl-sci
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电开关作用下手征织构演化的三维模拟

Three-dimensional modeling of chiral nematic texture evolution under electric switching

Vianney Gimenez-Pinto, Sajedeh Afghah, Robin L. B. Selinger

摘要:

手性双折射液晶具有均匀扭曲的螺旋平面基态和亚稳态的富缺陷焦锥织构,并且可以通过施加瞬态电压脉冲在两种微结构之间切换。在这项工作中,我们模拟这些电致纹理转变,使用有限差分方法来研究由此产生的微观结构的演变,这种转变已经在三维建模的第一次。我们分析了平面到焦锥,焦锥到平面,平面到平面的过渡取决于电压脉冲幅度。我们首先考虑具有匹配的扭转和弯曲弹性常数的手征向列相的特殊情况。结果表明,在无序焦锥织构的各种缺陷丰富的形态,并证明了快速恢复的平面基态的开关没有形成一个短暂的平面状态。我们评估纹理微观结构的演变以及细胞电容。除了单一的弹性常数近似,我们评估的平面瞬态平面以及平面Helfrich变形过渡的液晶化合物具有不同的弹性常数的模拟。我们的方法表示作为一个单轴导演场的发展中的微观结构,从张量表示计算的弛豫动力学,使半电荷向错缺陷不被抑制。我们讨论了这些计算效率高的三维建模方法的设计和优化的手征性双折射器件的潜在应用。

英文摘要:

Chiral nematic liquid crystals exhibit both a helical planar ground state with uniform twist and a metastable defect-rich focal conic texture, and can be switched between the two microstructures via application of transient voltage pulses. In this work, we model these electrically-induced texture transitions using finite difference methods to examine resulting microstructural evolution, the first time this transition has been modeled in three dimensions. We analyze the planar to focal conic, focal conic to planar, and planar to planar transitions depending on voltage pulse magnitude. We consider first the special case of chiral nematics with matched twist and bend elastic constants. Results show a variety of defect-rich morphologies in the disordered focal conic texture and demonstrate a fast recovery of the planar ground state on switching without formation of a transient planar state. We evaluate both texture microstructural evolution as well as cell capacitance. Beyond the single elastic constant approximation, we evaluate the planar to transient-planar as well as the planar to Helfrich-deformed transitions in simulations of a liquid crystal compound with different elastic constants. Our methods represent the evolving microstructure as a uniaxial director field, with relaxation dynamics calculated from a tensor representation so that half charge disclination defects are not suppressed. We discuss potential application of these computationally efficient three-dimensional modeling approaches for design and optimization of chiral nematic devices.

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