论文标题
玻璃形成流体中时间依赖性密度波动的替代性动态密度样理论
An alternative, dynamic density functional-like theory for time-dependent density fluctuations in glass-forming fluids
论文作者
论文摘要
我们提出了一种替代理论，用于放松玻璃形成流体中的密度波动。我们得出了一个密度相关函数的运动方程，该方程在时间上是局部的，在精神上与运动方程相似，用于在动态密度功能理论中得出的平均非均匀密度曲线的运动方程。我们将Franz-Parisi自由能的功能鉴定为密度相关函数进化的非平衡自由能。该功能的局部最小值的出现导致动态停滞。因此，我们的理论预测的恐怖性破坏过渡与基于相同非平衡自由能函数的静态方法的动态过渡一致。
We propose an alternative theory for the relaxation of density fluctuations in glass-forming fluids. We derive an equation of motion for the density correlation function which is local in time and is similar in spirit to the equation of motion for the average non-uniform density profile derived within the dynamic density functional theory. We identify the Franz-Parisi free energy functional as the non-equilibrium free energy for the evolution of the density correlation function. An appearance of a local minimum of this functional leads to a dynamic arrest. Thus, the ergodicity breaking transition predicted by our theory coincides with the dynamic transition of the static approach based on the same non-equilibrium free energy functional.
