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中国物理学会期刊

玻璃形成液体弛豫结构特征的机器学习研究

Machine Learning Study of Structural Features for the relaxations of Glass-Forming Liquids

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  • 不均匀弛豫是过冷液体最典型的动力学特征,其随时间的演化通常呈现非指数形式.这种非指数行为使得液体的弛豫时间在体系慢动力学出现时以超Arrhenius的形式增加,而液体结构仅有细微的变化.在该过程中,急剧变化的动力学性质与静态结构是否存在关联仍具有争议.本文以典型二元玻璃形成体系Cu50Zr50为研究对象,采用经典分子动力学模拟结合监督机器学习方法,从原子尺度系统研究了静态结构与α弛豫动力学之间的内在关联,定义了具有物理可解释性的原子尺度软度序参量Si.研究结果表明,随着温度降低,过冷液体中原子迁移率分布由单峰逐渐演化为双峰结构,明确标志着低温区动力学不均匀性的显著增强.由机器学习预测得到的软度场显示,高Si原子与在后续α弛豫过程中发生显著位移的原子高度相关.并在空间上形成清晰“高软度–低软度原子群”双群体分布.对于给定Si的原子群体,其动力学激活概率在过冷液态区间内服从Arrhenius行为,对应的激活能与Si呈近似线性关系;相比之下,其α弛豫时间在低温区表现出明显的非Arrhenius特征,反映了协同运动的增强.与动力学行为相对应,软度结构序参也呈现双峰分布,表明在过冷液态区间,原子局域结构的激活倾向经历了显著的重分配.本研究为揭示过冷液态过程中结构演化规律以及动力学不均匀性所对应的结构特征提供了新的视角.

    Dynamic heterogeneity is one of the hallmarks for the dynamics of glass-forming liquids, strongly associated with non-exponential relaxation. The non-exponential relaxation can lead to the structural relaxation increasing as a super-Arrhenius formula with quenching, while with only minor change in structures. Whether there is a relationship between the statistic structure and the drastically changed dynamics is still in debate in glassy community. In this study, we combine large-scale molecular dynamics simulations with the supervised machine learning to investigate the dynamics of the binary glass-forming system Cu50Zr50. The local atomic environment is characterized using symmetry functions, and atomic mobility, i.e., the logarithm of the migration rate ln(mi). We develop an interpretable atomic-scale structural parameter, termed ”softness” (Si), using an XGBoost model to elucidate the structure-dynamics relationships at the atomic level. Our results show that the probability distribution of the atomic mobility evolves from a unimodal to a bimodal distribution with quenching, consistent with the emergence of dynamical heterogeneity. The softness mapping reveals the coexistence of high- and low-softness atomic populations. For atoms with a given softness Si, the activation of local structural rearrangements follows Arrhenius behavior, with the activation energy approximately linearly correlated with Si. In contrast, the softness dependent α relaxation time exhibits a clear non-Arrhenius behavior, indicating the strong collectivity between different structural units. This distinct response behavior indicates that Si effectively separates the “intrinsic structural activation energy” from the “collective cooperative effects”, providing new insights into the structure-dynamics coupling during the glass transition. The high and low softness atomic clusters identified by Si can be regarded as distinct structural units with different local activation tendencies. With temperature decreasing, the distribution of softness parameter exhibits a transition from a high-softness state to a low-softness state, indicating a pronounced redistribution of the activation propensity of local atomic structures in the supercooled liquid regime. These results provide new insights on the structural evolution and the structural significance for the dynamic heterogeneity during glass transition.

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