涨落非线性流体动力学支持遍历-非遍历转变吗？

Inelastic x-ray scattering reveals the ergodic to nonergodic transition of salol, a liquid with local order

We have studied the high-frequency dynamics of salol by inelastic x-ray scattering over a wide temperature range between 50 and 450 K, across the glass transition. We find that salol efficiently realizes the mechanism of dynamical arrest described by the mode-coupling theory, as manifested by a cusp singularity in the behaviour of the non-ergodicity parameter and a $Q$ dependence of the critical non-ergodicity parameter that is in phase with the static structure factor. These results confront positively the mode-coupling theory with liquids with local order.

Ergodic-nonergodic transition in tapped granular systems: The role of persistent contacts

Static granular packs have been studied in the last three decades in the frame of a modified equilibrium statistical mechanics that assumes ergodicity as a basic postulate. The canonical example on which this framework is tested consists in the series of static configurations visited by a granular column subjected to taps. By analyzing the response of a realistic model of grains, we demonstrate that volume and stress variables visit different regions of the phase space at low tap intensities in different realizations of the experiment. We show that the tap intensity beyond which sampling by ta…

激活动力学与遍历-非遍历转变

Activated Dynamics and the Ergodic-Nonergodic Transition

介绍了受阻扩散模型。它是一个连续模型，给出了守恒密度的动力学。与自旋促进模型类似，动力学受到波动扩散系数的阻碍，该波动扩散系数随着局部密度接近迁移率为零的几何约束值而减小。该模型以自然的方式导致在低温和高密度下的激活动力学。在一个定义良好的近似的理论是兼容的模式耦合理论。事实上，在最简单的形式的模型，我们发现一个遍历-非遍历过渡到一个阶段，支持激活动力学和非遍历行为。

Smoluchowski dynamics and the ergodic-nonergodic transition

We use the recently introduced theory for the kinetics of systems of classical particles to investigate systems driven by Smoluchowski dynamics. We investigate the existence of ergodic-nonergodic (ENE) transitions near the liquid-glass transition. We develop a self-consistent perturbation theory in terms of an effective two-body potential. We work to second order in this potential. At second order we have an explicit relationship between the static structure factor and the effective potential. We choose the static structure factor in the case of hard spheres to be given by the solution of the …

A numerical study of longtime dynamics and ergodic-nonergodic transitions in dense simple fluids

For over 30 years, mode-coupling theory (MCT) has been the de facto theoretic description of dense fluids and the liquid-glass transition. MCT, however, is limited by its ad hoc construction and lacks a mechanism to institute corrections. We use recent results from a new theoretical framework--developed from first principles via a self-consistent perturbation expansion in terms of an effective two-body potential--to numerically explore the kinetics of systems of classical particles, specifically hard spheres obeying Smoluchowski dynamics. We present here a full solution to the kinetic equation…

Laponite悬浮液中的多个非遍历无序态：一个phase diagram

Multiple nonergodic disordered states in Laponite suspensions: a phase diagram

我们研究了不同的锂皂石悬浮液的时间演化从一个低粘度遍历状态的粘弹性非遍历状态在很宽的范围内的体积分数和盐含量。我们发现，非遍历参数（Debye-Waller因子）的演化分为两个分支的所有样本，这对应于两个不同的动态逮捕状态。另一方面，在适度高的盐浓度下，出现了不同于上述两种非遍历状态的第三种和新的非遍历状态。锂皂石溶液在纯水中的电导率的测量表明，在离子强度的抗衡离子的贡献是相当大的，它们的作用应考虑到老化动力学和相图的解释。基于这些数据和文献中的可用数据，我们提出了一个新的（非平衡）的锂皂石悬浮液相图。