论文标题
与随机钉的理想眼镜中的低频振动状态
Low-Frequency Vibrational States in Ideal Glasses with Random Pinning
论文作者
论文摘要
玻璃在低频制度中表现出空间局部振动。这些本地化模式在玻色子峰频率$ω_\ text {bp} $下方出现，其状态的振动密度遵循$ g（ω）\ proptoω^4 $（$ω$是频率）。在这里，我们试图解决局部振动如何通过理想的玻璃过渡行为。为此，我们采用了一种随机的固定方法，使我们能够研究热力学玻璃转变。我们发现，即使在平衡玻璃状态下，局部振动也可以生存。值得注意的是，本地化振动仍然保持外观的特性低于$ω_\ text {bp} $和$ g（ω）\ proptoω^4 $。我们的结果为理想眼镜的材料特性提供了重要的见解。
Glasses exhibit spatially localized vibrations in the low-frequency regime. These localized modes emerge below the boson peak frequency $ω_\text{BP}$, and their vibrational densities of state follow $g(ω) \propto ω^4$ ($ω$ is frequency). Here, we attempt to address how the localized vibrations behave through the ideal glass transition. To do this, we employ a random pinning method, which enables us to study the thermodynamic glass transition. We find that the localized vibrations survive even in equilibrium glass states. Remarkably, the localized vibrations still maintain the properties of appearance below $ω_\text{BP}$ and $g(ω) \propto ω^4$. Our results provide important insight into the material properties of ideal glasses.
