论文标题
异晶不变动态机械分析:分子动力学研究
Isomorph Invariant Dynamic Mechanical Analysis: A Molecular Dynamics Study
论文作者
论文摘要
我们模拟了Kob-Andersen二进制Lennard-Jones系统的动态机械分析实验。为此,应用具有时间依赖性应变速率的SLLOD算法在不同的密度和温度下给出正弦变化的应变。起点是在固定参考密度下进行温度扫描。同构理论预测,对于其他密度,可以识别相应的温度,在适当缩放时,机械性能不变。我们通过分析颗粒力在将构型缩放到新密度时如何变化来确定等效的温度。比较在合适的减速单元中表达的损耗模量的同构态点。当针对未量化的温度绘制时,观察到这些减少的损耗曲线崩溃,表明同构理论在动态机械分析实验中的有效性。考虑了确定同构温度的两种不同的方法。尽管其中一个因本研究中考虑的最大密度重塑而分解,但另一个仍适用于该地区。将重新恢复时力量的去相关是这种效果的可能起源。我们的结果表明,与玻璃的机械性能相关的同构理论所需的相图的简化也与玻璃的机械性能有关。
We simulate dynamic mechanical analysis experiments for the Kob-Andersen binary Lennard-Jones system. For this, the SLLOD algorithm with time-dependent strain rates is applied to give a sinusoidally varying strain at different densities and temperatures. The starting point is a temperature scan at a fixed reference density. Isomorph theory predicts that for other densities corresponding temperatures can be identified at which the mechanical properties are unchanged when scaled appropriately. We determine the isomorphically equivalent temperatures by analysing how particle forces change upon scaling configurations to the new density. Loss moduli expressed in suitable reduced units are compared for isomorphic state points. When plotted against the unscaled temperatures, these reduced loss curves are observed to collapse indicating the validity of isomorph theory for dynamic mechanical analysis experiments. Two different methods to determine isomorphic temperatures are considered. While one of them breaks down for the largest density rescalings considered in this study, the other one is still applicable in this region. The decorrelation of force vectors upon rescaling is investigated as a possible origin of this effect. Our results demonstrate that the simplification of the phase diagram entailed by isomorph theory for a wide class of system is relevant also for the mechanical properties of glasses.