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arXiv 2011.02401cond-mat.soft
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手征nematic liquid crystals扭曲态的滞后和Freedericksz阈值:最小能量路径方法

Hysteresis and Freedericksz thresholds for twisted states in chiral nematic liquid crystals: Minimum-energy path approach

Semen S. Tenishchev, Ivan M. Tambovtcev, Alexei D. Kiselev, Valery M. Uzdin

摘要:

本文研究了在电场作用下,手性液晶亚稳螺旋结构分支之间的最小能量通道。通过稳定性分析,我们发现,对于半圈数不为零的分支,Freedericksz跃迁的阈值电压是自由扭转波数的增函数。阈值电压的曲线取决于弹性各向异性,并确定零场临界自由扭转数,其中指向矢面外波动使CNLC螺旋不稳定。对于通过一阶鞍点的每个MEP,我们已经计算了作为鞍点和初始结构之间的能量差的能垒,在不同的外加场值。在我们的计算中,在下一个步骤的MEP的初始近似由在前一个步骤中获得的MEP确定,电场依赖的能量势垒被发现表现出滞后。这是电驱动过渡的鞍点配置之间的平面和倾斜的结构,涉及面外的导演变形的滞后。结果表明,与二阶Freedericksz转变相反,这种转变是一阶的,我们研究了它如何依赖于天顶锚定能强度。

英文摘要:

We study minimum-energy pathways (MEPs) between the branches of metastable helical structures in chiral nematic liquid crystals (CNLCs)subjected to the electric field applied across the cell. By performing stability analysis we have found that, for the branches with non-vanishing half-turn number, the threshold (critical) voltage of the Freedericksz transition is an increasing function of the free twisting wave number. The curves for the threshold voltage depend on the elastic anisotropy and determine the zero-field critical free twisting number where the director out-of-plane fluctuations destabilize the CNLC helix. For each MEP passing through a first order saddle point we have computed the energy barrier as the energy difference between the saddle-point and the initial structures at different values of the applied field. In our calculations, where the initial approximation for a MEP at the next step was determined by the MEP obtained at the previous step, the electric field dependence of the energy barrier is found to exhibit the hysteresis. This is the hysteresis of electrically driven transition of the saddle-point configuration between the planar and the tilted structures involving out-of-plane director deformations. It turned out that, by contrast to the second-order Freedericksz transition, this transition is first order and we have studied how it depends on the zenithal anchoring energy strength.

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