论文标题
随机淬灭预测无定形固体的通用特性
Random quench predicts universal properties of amorphous solids
论文作者
论文摘要
无定形固体在其力学，结构和响应中显示出许多通用特征。当前模型假设中尺度弹性特性的异质性，但需要进行微调以定量解释振动特性。一个完整的模型应通过淬火过程的模型从最初的无结构介质中得出弹性异质性的大小和特征，在此过程中，温度迅速降低并形成固体。在这里，我们提出了淬灭的现场理论模型，并在任意维度$ d $中计算结构，机械和振动可观察物。这使我们能够将无定形固体的性质与初始培养基的性质以及淬灭的属性联系起来。我们表明，先前的平均场结果通过我们的分析来弥补，并将弹性模量的空间波动，固有状态应力，通用振动异常和局部模式的远距离相关性统一。
Amorphous solids display numerous universal features in their mechanics, structure, and response. Current models assume heterogeneity in mesoscale elastic properties, but require fine-tuning in order to quantitatively explain vibrational properties. A complete model should derive the magnitude and character of elastic heterogeneity from an initially structureless medium, through a model of the quenching process during which the temperature is rapidly lowered and the solid is formed. Here we propose a field-theoretic model of a quench, and compute structural, mechanical, and vibrational observables in arbitrary dimension $d$. This allows us to relate the properties of the amorphous solid to those of the initial medium, and to those of the quench. We show that previous mean-field results are subsumed by our analysis and unify spatial fluctuations of elastic moduli, long-range correlations of inherent state stress, universal vibrational anomalies, and localized modes into one picture.
