Recent theoretical advances have led to the creation of a unified phase diagram for the thermal glass and athermal jamming transitions. This diagram makes clear that, while related, the mode-coupling—or dynamic—glass transition is distinct from the jamming transition, occurring at a finite temperature and significantly lower density than the jamming transition. Nonetheless, we demonstrate a prejamming transition in athermal frictionless spheres which occurs at the same density as the mode-coupling transition and is marked by percolating clusters of locally rigid particles. At this density in both the thermal and athermal systems, individual motions of an extensive number of particles become constrained, such that only collective motion is possible. This transition, which is well below jamming, exactly matches the definition of collective behavior at the dynamical transition of glasses. Thus, we reveal that the genesis of rigidity in both thermal and athermal systems is governed by the same underlying topological transition in their shared configuration space.

中文翻译：

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无热软球体中玻璃化转变的回声

最近的理论进展导致为热玻璃和非热干扰转变创建统一的相图。该图清楚地表明，尽管相关，但模态耦合（或动态）玻璃化转变与干扰转变不同，后者在有限的温度下发生，并且密度远低于干扰转变。尽管如此，我们证明了无热无摩擦球体中的预充填跃迁，其密度与模式耦合跃迁相同，并以局部刚性颗粒的团簇渗漏为特征。在热系统和非热系统中，在这种密度下，大量颗粒的单个运动受到约束，从而只能进行集体运动。这种过渡远低于干扰，与眼镜动态过渡时的集体行为定义完全匹配。因此，我们揭示了热系统和非热系统中刚度的产生都由它们共享的配置空间中相同的基础拓扑转换所支配。