Mean-field dynamic criticality and geometric transition in the Gaussian core model

Mean-field dynamic criticality and geometric transition in the Gaussian core model
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高斯核心模型中的平均场动态临界性和几何转变

DOI:
10.1103/physreve.93.042602
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发表时间:
2016
期刊:
影响因子:
2.4
通讯作者:
Atsushi Ikeda and Kunimasa Miyazaki
Atsushi Ikeda and Kunimasa Miyazaki
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Daniele Coslovich;Atsushi Ikeda and Kunimasa Miyazaki

文献摘要

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我们使用分子动力学模拟来研究高斯核模型(GCM)的动态不均匀性和势能景观。尽管粒子位移的统计近似为高斯分布,但GCM在动态转变温度附近表现出巨大的动态不均匀性。四点极化率的发散可以用非均匀模式耦合理论来定量描述。此外,势能景观的GCM的特点是大的能量障碍,预期从缺乏激活,跳跃动力学,并显示功能兼容的几何过渡。这些观测结果表明,平均场动态临界性的所有主要特征都可以在物理上健全的三维模型中观察到。
We use molecular dynamics simulations to investigate dynamic heterogeneities and the potential energy landscape of the Gaussian core model (GCM). Despite the nearly Gaussian statistics of particles' displacements, the GCM exhibits giant dynamic heterogeneities close to the dynamic transition temperature. The divergence of the four-point susceptibility is quantitatively well described by the inhomogeneous version of the mode-coupling theory. Furthermore, the potential energy landscape of the GCM is characterized by large energy barriers, as expected from the lack of activated, hopping dynamics, and display features compatible with a geometric transition. These observations demonstrate that all major features of mean-field dynamic criticality can be observed in a physically sound, three-dimensional model.