AI 中文总结
研究亚稳态颗粒凝胶中刚性渗流与屈服的动态相似性，通过粒子模拟发现刚性由单连通簇间桥支撑，屈服定位在高边介数中心性键处，二者是同一中尺度结构的相反表现，双峰性揭示了这种对应关系。
AI 中文摘要
在亚稳态颗粒凝胶中，人们倾向于认为刚性渗流的流体到固体的非线性相变与屈服过程中发生的固体到流体的转变之间的动态相似性代表了同一连续过程的镜像。尽管这些行为在动力学上明显相似，但它们的多尺度性质使得难以确定它们是否也遵循统一的结构路径。从模型单分散胶体凝胶中我们知道，屈服和弹性模量似乎都受到连接中尺度特征的一小部分拓扑上不同的单连通桥的严重影响。在此，我们使用粒子模拟来研究不同类别的粒子级键的参与情况及其对整体力学响应的贡献。我们发现，刚性由单连通的簇间桥不成比例地支撑，而屈服则定位在具有高边介数中心性（EBC）的键处；引人注目的是，这些独立识别的群体有很大重叠并发挥可比的力学作用。双峰性通过在这两个群体中集中大粒子接触来揭示这种对应关系，从而为共同骨架提供一个组成标签。因此，刚性和屈服是同一中尺度结构的相反力学表现：建立刚性的簇间瓶颈也是刚性优先丧失的部位。
英文摘要
In metastable particulate gels, it is tempting to believe that the dynamic similarities between the fluid-to-solid non-linear phase transition of rigidity percolation and the solid-to-fluid transition that occurs during yielding represent mirror images of the same continuous process. Even though these behaviors are clearly dynamically similar, their multi-scale nature makes it difficult to determine if they could also follow a unified structural pathway. We know from model monodisperse colloidal gels that both yielding and the elastic modulus seem to be heavily influenced by a small subset of topologically distinct singly-connected bridges linking mesoscale features. Here we use particle simulations to examine the participation of different classes of particle-level bonds and their contributions to the bulk mechanical response. We find that rigidity is disproportionately supported by singly connected intercluster bridges, whereas yielding localizes at bonds with high edge-betweenness centrality (EBC); strikingly, these independently identified populations substantially overlap and perform comparable mechanical roles. Bimodality exposes this correspondence by concentrating large-particle contacts in both populations, thereby providing a compositional label for the common backbone. Thus, rigidity and yielding are opposing mechanical manifestations of the same mesoscale structure: the intercluster bottlenecks that establish rigidity are also the sites at which rigidity is preferentially lost.
