论文标题
解释受限液体的低频剪切弹性
Explaining the low-frequency shear elasticity of confined liquids
论文作者
论文摘要
在限制液体中，在0.01-0.1 Hz的频率尺度上对意外剪切刚性的实验性观察质疑我们对液体弹性的基本理解，并对液态状态的理论模型构成了挑战。在这里，我们将有效的液态凝结物质系统的非承包理论与液态的Frenkel理论相结合。新兴框架表明，将限制施加到液体上可以有效地抑制负责非承诺软机械响应的低频模式，从而导致液体剪切刚性的有效增加。新理论成功地预测了液体低频剪切模量的缩放定律$ g'\ sim l^{ - 3} $作为限制长度$ l $的函数，与实验结果一致，并为跨不同时间和长度尺度的液体的弹性提供了更一般的描述。
Experimental observations of unexpected shear rigidity in confined liquids, on very low frequency scales on the order of 0.01-0.1 Hz, call into question our basic understanding of the elasticity of liquids and have posed a challenge to theoretical models of the liquid state ever since. Here we combine the nonaffine theory of lattice dynamics valid for disordered condensed matter systems with the Frenkel theory of the liquid state. The emerging framework shows that applying confinement to a liquid can effectively suppress the low frequency modes that are responsible for nonaffine soft mechanical response, thus leading to an effective increase of the liquid shear rigidity. The new theory successfully predicts the scaling law $G'\sim L^{-3}$ for the low-frequency shear modulus of liquids as a function of the confinement length $L$, in agreement with experimental results, and provides the basis for a more general description of the elasticity of liquids across different time and length scales.
