arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2104.00993cond-mat.stat-mechcond-mat.dis-nncond-mat.soft
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活性物质中的非平衡关联如何揭示玻璃中的拓扑交叉

How non-equilibrium correlations in active matter reveal the topological crossover in glasses

Giacomo Gradenigo, Matteo Paoluzzi

摘要:

正如玻璃化转变的平均场模型的早期研究所示,能量景观的几何特征提供了在模式耦合温度$T_d$的动态转变的基本信息。我们表明,活性粒子可以作为一个有用的工具,深入了解模型玻璃形成的拓扑交叉。在这样的系统中,势能景观中的极小到鞍形转变的标志性事件发生在$T_d$附近,是动力学的临界减速。然而,临界减速是数值模拟的瓶颈,并且利用能够在玻璃相中热化的新智能算法的可能性是有吸引力的。我们的建议是考虑配置平衡低于阈值和研究他们的动态存在少量的自推进。正如这里从p-自旋模型的研究中所举例说明的那样,自推进的存在在极小到鞍形交叉处产生临界的非平衡等时关联,这种关联不受缓慢的玻璃态动力学的阻碍。

英文摘要:

As shown by early studies on mean-field models of the glass transition, the geometrical features of the energy landscape provide fundamental information on the dynamical transition at the Mode-Coupling temperature $T_d$. We show that active particles can serve as a useful tool for gaining insight into the topological crossover in model glass-formers. In such systems the landmark of the minima-to-saddle transition in the potential energy landscape, taking place in the proximity of $T_d$, is the critical slowing down of dynamics. Nevertheless, the critical slowing down is a bottleneck for numerical simulations and the possibility to take advantage of the new smart algorithms capable to thermalize down in the glass phase is attractive. Our proposal is to consider configurations equilibrated below the threshold and study their dynamics in the presence of a small amount of self-propulsion. As exemplified here from the study of the p-spin model, the presence of self-propulsion gives rise to critical off-equilibrium equal-time correlations at the minima-to-saddles crossover, correlations which are not hindered by the sluggish glassy dynamics.

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