部分钉扎流体的玻璃态动力学:一种替代的模式耦合方法
Glassy dynamics of partially pinned fluids: an alternative mode-coupling approach
摘要:
我们使用一个简单的模式耦合的方法来研究部分钉扎流体系统的玻璃态动力学。我们的方法是不同的模式耦合理论开发的Krakoviack [物理。94,065703(2005),Phys.Rev.E84,050501(R)(2011)]。与Krakoviack的理论相反,我们的方法预测了一个随机钉扎玻璃化转变的情况下,是定性相同的情况下,使用平均场分析的球形p-自旋模型和平均场版本的随机一阶跃迁理论。我们使用我们的方法来计算数量,这往往被认为是不断增长的动态相关性和静态点集相关性的指标。我们发现,所谓的静态重叠占主导地位的简单,低钉扎分数的贡献。因此,至少对于随机钉扎流体系统,只有对模拟结果进行仔细的定量分析才能揭示真正的多体点对集相关性。
英文摘要:
We use a simple mode-coupling approach to investigate glassy dynamics of partially pinned fluid systems. Our approach is different from the mode-coupling theory developed by Krakoviack [Phys. Rev. Lett. 94, 065703 (2005), Phys. Rev. E 84, 050501(R) (2011)]. In contrast to Krakoviack's theory, our approach predicts a random pinning glass transition scenario that is qualitatively the same as the scenario obtained using a mean-field analysis of the spherical p-spin model and a mean-field version of the random first-order transition theory. We use our approach to calculate quantities which are often considered to be indicators of growing dynamic correlations and static point-to-set correlations. We find that the so-called static overlap is dominated by the simple, low pinning fraction contribution. Thus, at least for randomly pinned fluid systems, only a careful quantitative analysis of simulation results can reveal genuine, many-body point-to-set correlations.
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