论文标题
堵塞包装中相关性的远程异常衰减
Long-Range Anomalous Decay of the Correlation in Jammed Packings
论文作者
论文摘要
我们从数值上研究了在障碍物中的三维系统中发生的相互作用的结构，重点是大规模行为。鉴于他们在堵塞包装的配置中起着基本作用，我们分析了通过弱力系统的传播以及相对于等距条件$Δz$的配位数变化的传播。我们表明，可以通过引入对密度密度波动加权的相关函数来成功探测这些相关性。通过基于粒子之间的接触点引入系统的表示，可以进一步改善该分析的结果。特别是，我们发现证据表明，弱力和$Δz$波动支持通过表现出异常的长距离衰减，假设球形颗粒的随机堵塞堆积。此外，我们发现密度密度相关性的大规模结构由于两个指数抑制的振荡信号的叠加而表现出复杂的行为，这取决于频率线性地传播。
We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we analyze the propagation through the system of the weak forces and of the variation of the coordination number with respect to the isostaticity condition $ΔZ$. We show that these correlations can be successfully probed by introducing a correlation function weighted on the density-density fluctuations. The results of this analysis can be further improved by introducing a representation of the system based on the contact points between particles. In particular, we find evidence that the weak forces and the $ΔZ$ fluctuations support the hypothesis of randomly jammed packings of spherical particles being hyperuniform by exhibiting an anomalous long-range decay. Moreover, we find that the large-scale structure of the density-density correlation exhibits a complex behavior due to the superimposition of two exponentially damped oscillating signals propagating with linearly depending frequencies.
