通过优化活动定位来调节活性固体的集体驱动
Tuning collective actuation of active solids by optimizing activity localization
AI总结：
本文提出了一种算法，通过优化活动局部化来增强活性固体的集体驱动，展示了其在有序和无序晶格中的不同表现。
摘要：
活性固体，特别是嵌入极性活性单元的弹性晶格，在弹性-活性反馈超过某些临界值时会表现出集体驱动。此时动态会集中在少数振动模式上，这些模式的选择遵循非平凡规则，根植于动态的非线性部分。迄今为止，选择机制的复杂性限制了特定驱动的设计。本文通过数值方法研究了如何通过在少数模式上局部化活动来选择非平凡的集体驱动。我们对基于代理的模型进行了数值模拟，研究了三角形和无序晶格，并改变活性代理在晶格节点上的浓度和局部化程度。两者都影响弹性能量在模式上的分布。我们随后引入了一种算法，对于给定的活性节点比例，使活动局部化的方式使得在少数目标模式上的能量分布最大化或最小化。我们通过特定的目标驱动示例，展示了该算法与手动选择的活动局部化相比的表现。在有序晶格的情况下，经过良好教育的猜测比算法更好，但在无序晶格的情况下，后者优于手动试验。最后，对有序晶格情况的结果分析使我们引入了一种基于模式对特定激活路径的易感性度量的设计原则。
英文摘要：
Active solids, more specifically elastic lattices embedded with polar active units, exhibit collective actuation when the elasto-active feedback, generically present in such systems, exceeds some critical value. The dynamics then condensates on a small fraction of the vibrational modes, the selection of which obeys non trivial rules rooted in the nonlinear part of the dynamics. So far the complexity of the selection mechanism has limited the design of specific actuation. Here we investigate numerically how, localizing the activity on a fraction of modes, one can select non-trivial collective actuation. We perform numerical simulations of an agent based model on triangular and disordered lattices and vary the concentration and the localization of the active agents on the lattices nodes. Both contribute to the distribution of the elastic energy across the modes. We then introduce an algorithm, which, for a given fraction of active nodes, evolves the localization of the activity in such a way that the energy distribution on a few targeted modes is maximized -- or minimized. We illustrate on a specific targeted actuation, how the algorithm performs as compared to manually chosen localization of the activity. While, in the case of the ordered lattice, a well educated guess performs better than the algorithm, the latter outperform the manual trials in the case of the disordered lattice. Finally, the analysis of the results in the case of the ordered lattice leads us to introduce a design principle based on a measure of the susceptibility of the modes to be activated along certain activation paths.
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