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arXiv 2202.13384cond-mat.soft
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从结构玻璃的亚老化到超老化

From sub-aging to hyper-aging in structural glasses

Luis F. Elizondo-Aguilera, Tommaso Rizzo, Thomas Voigtmann

摘要:

我们证明了非平衡的比例尺定律的老化动力学在玻璃成型机,从最近的应用相结合的Onsager的不可逆过程的理论与平衡的比例尺定律的玻璃动力学。不同的标度制度预测的演化系统的结构弛豫时间$τ$与年龄(等待时间$t_w$),取决于从液体进入玻璃的淬火深度:\emph{simple aging}($τ\sim t_w$)适用于接近模式耦合理论(MCT)临界点的猝灭,并暗示\emph{sub-aging}($τ\approx\ t_w^δ$与$δ<1$)作为淬灭到接近停滞的平衡状态的宽交叉; \emph{hyper-aging}(或\emph{super-aging}、$τ\sim t_w^{δ'}$与$δ'>1$)出现用于深入玻璃的淬灭。后者被切断的非平均场波动,我们占在最近的扩展MCT,随机$β$ -松弛理论(SBR)。我们通过一个示意性的模型,允许定量地适合最近的密度淬火硬球状粒子的模拟结果的标度律。

英文摘要:

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.

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