论文标题
从结构玻璃中的地下衰老到超老化
From sub-aging to hyper-aging in structural glasses
论文作者
论文摘要
我们展示了玻璃形成器中衰老动力学的非平衡缩放定律，这些定律从结合了Onsager的不可逆过程理论与玻璃动力学的平衡尺度定律相结合。预计系统的结构放松时间$τ$随着年龄的年龄（等待时间$ t_w $）的发展而预计，具体取决于从液体到玻璃的淬火深度：\ emph {simple aging}（$τ\ sim t_w $）适用于接近模式cOUPLISE理论的关键点（MCT）的关键点（MCT） （$τ\ t_w^δ$，带有$Δ<1 $）作为淬灭的宽交叉，以至于几乎避开平衡状态； \ emph {hyper-aging}（或\ emph {super-aving}，$τ\ sim t_w^{δ'} $带有$δ'> 1 $），将淬灭深入玻璃。在MCT（随机$β$ - 递延理论（SBR））近期扩展中，这是通过非平均场波动（SBR）所解释的。我们通过示意图模型来体现缩放定律，该模型允许定量拟合密度淬火的硬球样颗粒的最新模拟结果。
We demonstrate non-equilibrium scaling laws for the aging dynamics in glass formers that emerge from combining a recent application of Onsager's theory of irreversible processes with the equilibrium scaling laws of glassy dynamics. Different scaling regimes are predicted for the evolution of the system's structural relaxation time $τ$ with age (waiting time $t_w$), depending on the depth of the quench from the liquid into the glass: \emph{simple aging} ($τ\sim t_w$) applies for quenches close to the critical point of mode-coupling theory (MCT) and implies \emph{sub-aging} ($τ\approx\ t_w^δ$ with $δ<1$) as a broad cross-over for quenches to nearly-arrested equilibrium states; \emph{hyper-aging} (or \emph{super-aging}, $τ\sim t_w^{δ'}$ with $δ'>1$) emerges for quenches deep into the glass. The latter is cut off by non-mean-field fluctuations that we account for within a recent extension of MCT, the stochastic $β$-relaxation theory (SBR). We exemplify the scaling laws by a schematic model that allows to quantitatively fit recent simulation results for density-quenched hard-sphere-like particles.
