论文标题

在弯曲表面上活跃命名的缺陷顺序

Defect order in active nematics on a curved surface

论文作者

Pearce, D. J. G.

论文摘要

我们研究了外部曲率对局限于圆柱体表面的2D主动列的湍流行为的影响。圆柱体的表面没有固有的弯曲曲率,仅具有外部曲率。列场通过试图与最低的原理曲率保持一致,在这种情况下,在这种情况下,与圆柱体的长轴平行,对外部曲率反应。当耶孕药充分活跃时,会根据弯曲或张力不稳定产生的缺陷扩散,这取决于活动应力的性质。气缸的外在曲率是该过程的旋转对称性,这意味着缺陷是平行或垂直于圆柱体的,具体取决于主动列是收缩还是扩散的。

We investigate the effects of extrinsic curvature on the turbulent behavior of a 2D active nematic confined to the surface of a cylinder. The surface of a cylinder has no intrinsic curvatrue and only extrinsic curvature. A nematic field reacts to the extrinsic curvature by trying to align with the lowest principle curvature, in this case parallel to the long axis of the cylinder. When nematics are sufficiently active, there is a proliferation of defects arising from a bend or splay instability depending on the nature of the active stress. The extrinsic curvature of the cylinder beaks the rotational symmetry of this process, implying that defects are created parallel or perpendicular to the cylinder depending on whether the active nematic is contractile or extensile.

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