标题： 非平衡玻璃在简并隐秘超均匀基态流形中的存在 显示英文标题

标题： Existence of Nonequilibrium Glasses in the Degenerate Stealthy Hyperuniform Ground-State Manifold

摘要： 隐秘相互作用是一种新兴的非平凡、有界长程振荡对势类，其经典基态可以是无序的、超均匀的和无限简并的。 它们的晶体-液体混合特性赋予了它们优于其晶体对应物的新物理性质。 在这里，我们展示了在隐秘参数$\chi$趋近于零时，这种不寻常的基态流形中存在非平衡硬球玻璃，这些玻璃在构型上非常接近超均匀的三维最大随机紧密堆积(MRJ)球体填充。 后者是典型的玻璃，因为它们是最高度无序的、完全刚性的和完全不可遍历的。 我们的优化过程利用了无限基态集的最大基数，不仅保证了我们的填充具有与MRJ状态相同的结构因子标度指数的超均匀性，而且它们还具有其他显著的结构特征，包括填充分数为$0.638$，每个粒子的平均接触数为6，间隙指数为$0.44(1)$，以及对于所有$r$和$k$分别几乎彼此相同的对相关函数$g_2(r)$和结构因子$S(k)$。 此外，我们证明在无序区域（$0 < \chi <1/2$）内可以创建隐身超均匀包装，其最大包装分数达到了前所未有的水平。 当$\chi$从零开始增加时，它们总是形成粒子间接触，尽管随着$\chi$从零开始增加，接触网络变得更加稀疏，从而导致接触粒子的线性聚合物状链，且链长逐渐变短。 对于所有$\chi$，生成超密集隐身超均匀包装的能力为光学和声学领域开辟了新的材料应用。 显示英文摘要

摘要： Stealthy interactions are an emerging class of nontrivial, bounded long-ranged oscillatory pair potentials with classical ground states that can be disordered, hyperuniform, and infinitely degenerate. Their hybrid crystal-liquid nature endows them with novel physical properties with advantages over their crystalline counterparts. Here, we show the existence of nonequilibrium hard-sphere glasses within this unusual ground-state manifold as the stealthiness parameter $\chi$ tends to zero that are remarkably configurationally extremely close to hyperuniform 3D maximally random jammed (MRJ) sphere packings. The latter are prototypical glasses since they are maximally disordered, perfectly rigid, and perfectly nonergodic. Our optimization procedure, which leverages the maximum cardinality of the infinite ground-state set, not only guarantees that our packings are hyperuniform with the same structure-factor scaling exponent as the MRJ state, but they share other salient structural attributes, including a packing fraction of $0.638$, a mean contact number per particle of 6, gap exponent of $0.44(1)$, and pair correlation functions $g_2(r)$ and structures factors $S(k)$ that are virtually identical to one another for all $r$ and $k$, respectively. Moreover, we demonstrate that stealthy hyperuniform packings can be created within the disordered regime ($0 < \chi <1/2$) with heretofore unattained maximal packing fractions. As $\chi$ increases from zero, they always form interparticle contacts, albeit with sparser contact networks as $\chi$ increases from zero, resulting in linear polymer-like chains of contacting particles with increasingly shorter chain lengths. The capacity to generate ultradense stealthy hyperuniform packings for all $\chi$ opens up new materials applications in optics and acoustics.