用粘性势设计声子带隙
Designing Phononic Band Gaps with Sticky Potentials
摘要：
无序固体振动模式中的谱隙是声子超材料合成和控制的关键设计元素，声子超材料表现出大量新颖的弹性和机械性能。然而，可靠地产生这些间隙通常需要通过复杂的控制优化程序来实现高度的网络特异性。在这项工作中，我们提出了一个额外的工具，现有的剧目，一个数值方案，迅速产生相当大的光谱间隙的网络结构或弹性参数的任何微调的情况下。这些间隙甚至出现在由相对少的颗粒（$N \sim 10^2-10^3$）组成的无序多分散体系中。我们提出的程序利用粘性潜力，最近已被证明可以抑制软模式的形成，从而有效地恢复线性弹性制度的能带结构出现，在更短的长度尺度比传统的无序固体模型。我们的方法与从胶体悬浮液到3D打印弹性网络的各种物理设置中的间隙光谱的设计和实现有关。
英文摘要：
Spectral gaps in the vibrational modes of disordered solids are key design elements in the synthesis and control of phononic metamaterials that exhibit a plethora of novel elastic and mechanical properties. However, reliably producing these gaps often require a high degree of network specificity through complex control optimization procedures. In this work, we present as an additional tool to the existing repertoire, a numerical scheme that rapidly generates sizeable spectral gaps in absence of any fine tuning of the network structure or elastic parameters. These gaps occur even in disordered polydisperse systems consisting of relatively few particles ($N \sim 10^2-10^3$). Our proposed procedure exploits sticky potentials that have recently been shown to suppress the formation of soft modes, thus effectively recovering the linear elastic regime where band structures appear, at much shorter length scales than in conventional models of disordered solids. Our approach is relevant to design and realization of gapped spectra in a variety of physical setups ranging from colloidal suspensions to 3D-printed elastic networks.
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