论文标题
一个简单的玻璃形成液体动态异质性的模型
A simple model for dynamic heterogeneity in glass-forming liquids
论文作者
论文摘要
玻璃过渡附近的液体表现出动态的异质性，即局部放松率在空间和时间上强烈波动。在这里，我们介绍了一个简单的连续模型，该模型允许对描述这些波动的相关器进行定量预测。我们发现，对于动态易感性$χ_4（t）$的模型预测与二元硬球液体的数值结果以及Kob-Andersen Lennard-Jones混合物的数值结果。在此模型下，异质性的生命周期$τ_{\ rm ex} $对$χ_4（t）$的峰值的位置$ t = t = t_4 \simτ_α$，但它控制着峰值$χ_4（t）$的衰减，我们在峰值之后，我们显示了如何从这个deDay中估算出来的。
Liquids near the glass transition exhibit dynamical heterogeneity, i.e. local relaxation rates fluctuate strongly over space and time. Here we introduce a simple continuum model that allows for quantitative predictions for the correlators describing these fluctuations. We find remarkable agreement of the model predictions for the dynamic susceptibility $χ_4(t)$ with numerical results for a binary hard-sphere liquid and for a Kob-Andersen Lennard-Jones mixture. Under this model, the lifetime $τ_{\rm ex}$ of the heterogeneities has little effect on the position $t = t_4 \sim τ_α$ of the peak of $χ_4(t)$, but it controls the decay of $χ_4(t)$ after the peak, and we show how to estimate it from this decay.
