It has been established that the low frequency quasilocalized modes of amorphous solids at zero temperature exhibit universal density of states, depending on the frequencies as $D(\omega )\sim {\omega }^4$. It remains an open question whether this universal law extends to finite temperatures. In this Letter we show that well quenched model glasses at temperatures as high as $T_g/3$ possess the same universal density of states. The only condition required is that average particle positions stabilize before thermal diffusion destroys the cage structure of the material. The universal density of quasilocalized low frequency modes refers then to vibrations around the thermally averaged configuration of the material.

中文翻译：

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有限温度下非晶态中低频状态的通用密度

已经确定，零温度下非晶态固体的低频准局部化模式表现出普遍的状态密度，具体取决于频率为 $d（\omega ）〜{\omega }^4$。这个普遍定律是否扩展到有限温度仍然是一个悬而未决的问题。在这封信中，我们证明了经过良好淬火的模型玻璃的温度高达${Ť}_G/3$具有相同的普遍状态密度 唯一需要的条件是，在热扩散破坏材料的笼状结构之前，平均颗粒位置必须稳定。准局部低频模式的通用密度于是指围绕材料的热平均构型的振动。