论文标题
无定形固体中低频状态密度的鲁棒性
Robustness of Density of Low Frequency States in Amorphous Solids
论文作者
论文摘要
低频准定位的无定形眼镜模式似乎表现出状态的通用密度，具体取决于频率为$ d（ω）\simΩ^4 $。迄今为止，具有短距离二元相互作用的各种模型的玻璃板模型，以及具有二进制和三元相互作用的网络玻璃，符合该定律。在本文中，我们检查了具有远距离静电相互作用的颗粒状无定形固体，并发现它们表现出相同的定律。为了合理化这一广泛的普遍性类别，我们返回到Gurevich，Parshin和Schober（GPS）提出的模型，并分析其对空间衰减不同的相互作用定律的预测，探索了比预期的普遍性类别更大。具有远距离相互作用和GPS模型的实际系统提供了数值和分析结果。
Low frequency quasi-localized modes of amorphous glasses appear to exhibit universal density of states, depending on the frequencies as $D(ω) \sim ω^4$. To date various models of glass formers with short range binary interaction, and network glasses with both binary and ternary interactions, were shown to conform with this law. In this paper we examine granular amorphous solids with long-range electrostatic interactions, and find that they exhibit the same law. To rationalize this wide universality class we return to a model proposed by Gurevich, Parshin and Schober (GPS) and analyze its predictions for interaction laws with varying spatial decay, exploring this wider than expected universality class. Numerical and analytic results are provided for both the actual system with long range interaction and for the GPS model.
