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Inelastic Interactions of Solitons in a Linear Defect of the Electroconvective Structure of a Nematic Liquid Crystal
JETP Letters ( IF 1.4 ) Pub Date : 2021-03-11 , DOI: 10.1134/s0021364021010021
V. A. Delev

The inelastic interactions of solitons in a linear defect appearing in a one-dimensional electroconvective structure of a π/2-twisted nematic liquid crystal have been studied for the first time. Linear defects in twisted nematic liquid crystals are characterized by a sufficiently extended strain field and are oriented normally to Williams domains. Hydrodynamic flows in domains have not only the tangential velocity component but also the axial component whose directions in neighboring domains are opposite. In contrast to the case of planar orientation, the flow continuity condition for an anisotropic liquid in twisted nematic liquid crystals prevents the decay of a linear defect into individual dislocations when an applied voltage increases. This behavior results in the formation of domain zigzag oscillations in the defect core. The boundaries between zig and zag regions are dislocations with the topological charges S = +1 and –1. It has been established that the periodic interaction of dislocations (kinks) with opposite topological charges S = +1 and –1 is accompanied by the formation of a breather. It has been found that the collision of a kink and the breather in the linear defect is inelastic because it leads to the decay of the breather into a kink–antikink pair. It has been shown that such interactions of dislocations with topological charges S = +1 and –1 are qualitatively well described by the perturbed sine-Gordon equation.



中文翻译:

向列液晶电对流结构线性缺陷中孤子的非弹性相互作用

首次研究了π/ 2扭曲向列液晶的一维电对流结构中线性缺陷中孤子的非弹性相互作用。扭曲向列液晶中的线性缺陷的特征在于应变场充分扩展,并且通常定向到Williams域。区域中的流体动力流动不仅具有切线速度分量,而且还具有在相邻区域中的方向相反的轴向分量。与平面取向的情况相反,当施加电压增加时,扭曲向列液晶中各向异性液体的流动连续性条件防止了线性缺陷衰减成单独的位错。此行为导致在缺陷核心中形成域之字形振荡。S = +1和–1。已经确定,位错(扭结)与相反的拓扑电荷S = +1和–1的周期性相互作用伴随有通气孔的形成。已经发现,扭结和呼吸器在线性缺陷中的碰撞是无弹性的,因为它导致呼吸器衰减为扭结-抗扭结对。已经表明,位错与拓扑电荷S = +1和–1的这种相互作用通过扰动的正弦Gordon方程定性地很好地描述了。

更新日期:2021-03-11
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