论文标题
从潮湿到干燥的活性鸟类的交叉点处的记忆效应，拱形和极性缺陷排序
Memory effects, arches and polar defect ordering at the cross-over from wet to dry active nematics
论文作者
论文摘要
我们使用连续性的，活性的黑质水力动力方程的分析论证和数值解决方案来研究摩擦如何改变主动命名的行为。专注于在被动限制下进行列表订购的情况，我们表明，随着摩擦的增加，记忆效应变得更加突出，$+1/2 $拓扑缺陷使导演场上越来越持久。这些步道是缺陷形成的优先地点，它们倾向于在任何新的$+1/2 $缺陷上施加极性顺序。在没有噪音和高摩擦的情况下，很难产生缺陷，但是在模拟开始时存在的任何缺陷形成的踪迹持续存在，并在导演领域内组织成类似于平行的拱形样式。我们表明，相等宽度的对齐拱形是与列态共存的运动方程的近似稳态解。我们将结果与文献中的其他模型进行了比较，特别是没有流体动力学的干燥系统，在该系统中还观察到了步道，拱门和极性缺陷顺序。
We use analytic arguments and numerical solutions of the continuum, active nematohydrodynamic equations to study how friction alters the behaviour of active nematics. Concentrating on the case where there is nematic ordering in the passive limit, we show that, as the friction is increased, memory effects become more prominent and $+1/2$ topological defects leave increasingly persistent trails in the director field as they pass. The trails are preferential sites for defect formation and they tend to impose polar order on any new $+1/2$ defects. In the absence of noise and for high friction, it becomes very difficult to create defects, but trails formed by any defects present at the beginning of the simulations persist and organise into parallel arch-like patterns in the director field. We show aligned arches of equal width are approximate steady state solutions of the equations of motion which co-exist with the nematic state. We compare our results to other models in the literature, in particular dry systems with no hydrodynamics, where trails, arches and polar defect ordering have also been observed.
