Can exotic disordered “stealthy” particle configurations tolerate arbitrarily large holes?
Can exotic disordered “stealthy” particle configurations tolerate arbitrarily large holes?
复制标题
奇异的无序“隐形”粒子结构能否容忍任意大的孔？
DOI：
10.1039/c7sm01028a
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发表时间：
2017
期刊：
影响因子：
3.4
通讯作者：
Torquato, S.
中科院分区：
文献类型：
--
作者：
Zhang, G.;Stillinger, F. H.;Torquato, S.
在无限系统尺寸极限下，在典型的无序多粒子系统中找到任意大尺寸的球形空腔或“洞”的概率（例如，平衡液体状态）是非零的。这种“空穴”统计与系统的热力学和非平衡物理性质密切相关。d维欧几里德空间d中的无序“隐形”多粒子配置是位于液体和晶体之间的物质的奇异无定形状态，其禁止一系列波矢量的单散射事件并且不具有布拉格峰[Torquato等人，X，2015，5，021020]。在本文中，我们提供了强有力的数值证据表明，在前三个空间维度上的无序隐身配置不能容忍无限系统尺寸限制中的任意大的孔，即，空穴概率具有紧支撑。这种结构上的“刚性”性质显然赋予无序隐形系统新的热力学和物理性质，包括理想的带隙，光学和传输特性。我们还确定了任何隐身系统在前三个空间维度上可以拥有的最大孔尺寸。
The probability of finding a spherical cavity or “hole” of arbitrarily large size in typical disordered many-particle systems in the infinite-system-size limit (e.g., equilibrium liquid states) is non-zero. Such “hole” statistics are intimately linked to the thermodynamic and nonequilibrium physical properties of the system. Disordered “stealthy” many-particle configurations in d-dimensional Euclidean space d are exotic amorphous states of matter that lie between a liquid and crystal that prohibit single-scattering events for a range of wave vectors and possess no Bragg peaks [Torquato et al., Phys. Rev. X, 2015, 5, 021020]. In this paper, we provide strong numerical evidence that disordered stealthy configurations across the first three space dimensions cannot tolerate arbitrarily large holes in the infinite-system-size limit, i.e., the hole probability has compact support. This structural “rigidity” property apparently endows disordered stealthy systems with novel thermodynamic and physical properties, including desirable band-gap, optical and transport characteristics. We also determine the maximum hole size that any stealthy system can possess across the first three space dimensions.