论文标题
基于时间对抗模式耦合理论的简化的非线性记忆函数，用于玻璃形成材料的动力学
A simplified nonlinear memory function for the dynamics of glass-forming materials based on time-convolutionless mode-coupling theory
论文作者
论文摘要
在理想的无时间符号模式耦合理论方程式中提出了简化的非线性记忆函数，以研究玻璃形成液体的动力学。然后将数值溶液与在脆弱液体和强液体上进行的模拟结果进行比较。它们被证明可以在误差范围内以误差的超冷状态恢复仿真结果，除非在$β$ - 递延阶段由于理想的方程式。然后，非线性$μ$在内存函数中的温度依赖性表明，超冷的状态必须明确分为两个取代，一个弱过冷的状态，其中$μ$随着$ t $降低而迅速增加，并且$ t $ $ $ $ $ $ $ $ $ $ $ the $ $变为$ t $ $ t $降低。另一方面，结果表明，在玻璃状态下，$ $ $随着$ t $减少而迅速增加，而在液态状态下它是恒定的。因此，强调的是，简化内存函数的新模型比本文作者早些时候提出的不仅在定性上而且在定量上提出的传统模型更为合理。
A simplified nonlinear memory function is proposed in the ideal time-convolutionless mode-coupling theory equation to study the dynamics of glass-forming liquids. The numerical solutions are then compared with the simulation results performed on fragile liquids and strong liquids. They are shown to recover the simulation results in a supercooled state well within error, except at a $β$-relaxation stage because of the ideal equation. A temperature dependence of the nonlinearity $μ$ in the memory function then suggests that the supercooled state must be clearly separated into two substates, a weakly supercooled state in which $μ$ increases rapidly as $T$ decreases and a deeply supercooled state in which $μ$ becomes constant up to the glass transition as $T$ decreases. On the other hand, it is shown that in a glass state $μ$ increases rapidly as $T$ decreases, while it is constant in a liquid state. Thus, it is emphasized that the new model for the simplified memory function is much more reasonable than the conventional one proposed earlier by the present author not only qualitatively but also quantitatively.
