Network configurations of dynamic friction patterns

The complex configurations of dynamic friction patterns, regarding real-time contact areas, are transformed into appropriate networks. In this letter, the authors analyze the dynamics of static friction, i.e. nucleation processes, with respect to friction networks. They show that networks can successfully capture the crack-like shear ruptures and possible corresponding acoustic features. They found that the fraction of triangles scales remarkably with the detachment fronts. There is a universal power law between nodes' degrees and motifs' frequencies (for triangles, it reads T(k)k proportional to k super( beta ) ( beta approximately 2 plus or minus 0.4)). In particular, the evolutions of loops are scaled with power law, indicating the aggregation of cycles around hub nodes. Furthermore, the motif distributions and modularity space of networks -- in terms of within-module degrees and participation coefficients -- show universal trends, indicating a common aspect of energy flow in shear ruptures. Moreover, the authors confirmed that slow ruptures generally hold small localization, while regular ruptures carry a high level of energy localization.