标题： 摩擦界面的拓扑复杂性：摩擦网络 显示英文标题

标题： Topological Complexity of Frictional Interfaces: Friction Networks

摘要： 通过本研究进行的调查，开发了一种用于粗糙裂缝（II型裂缝）孔隙空间相关模式的网络方法。 我们用几个网络特性对摩擦网络进行了表征。 网络属性与裂缝渗透率之间的相关性是摩擦网络的结果。 在复杂开度网络中揭示的中心节点证实了高度相关组群对于传导动态开度场的突出特征的重要性。 我们发现节点的度与团簇频率之间存在普遍的幂律关系（对于三角形来说，其表达式为 T(k)\proptok{\beta} ({\beta } \approx 2\pm 0.3)）。 对特征向量上的局域化效应的研究显示了平行和垂直开度斑块之间的显著差异。 此外，我们估算尖峰处储存能量的速率，结果发现平行摩擦网络中的辐射能量速率高于横向方向。 我们研究的最后部分强调了 4点子图分布及其与流体流动的相关性。 对于剪切断裂，我们在子图分布中观察到了类似的趋势，这是由平行和横向开度剖面引起的（超家族现象）。 显示英文摘要

摘要： Through research conducted in this study, a network approach to the correlation patterns of void spaces in rough fractures (crack type II) was developed. We characterized friction networks with several networks characteristics. The correlation among network properties with the fracture permeability is the result of friction networks. The revealed hubs in the complex aperture networks confirmed the importance of highly correlated groups to conduct the highlighted features of the dynamical aperture field. We found that there is a universal power law between the nodes' degree and motifs frequency (for triangles it reads T(k)\proptok{\beta} ({\beta} \approx2\pm0.3)). The investigation of localization effects on eigenvectors shows a remarkable difference in parallel and perpendicular aperture patches. Furthermore, we estimate the rate of stored energy in asperities so that we found that the rate of radiated energy is higher in parallel friction networks than it is in transverse directions. The final part of our research highlights 4 point sub-graph distribution and its correlation with fluid flow. For shear rupture, we observed a similar trend in sub-graph distribution, resulting from parallel and transversal aperture profiles (a superfamily phenomenon).