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. 2023 Jul 10;120(29):e2301625120. doi: 10.1073/pnas.2301625120

Fig. 5.

Fig. 5.

Cooperative uncaging drives intermittent dynamics. (A) Kinetic energy per particle within a raft during a representative sequence of avalanches over a time span of 1.65 s, with zoomed-in detail for one avalanche (boxed in red). Dashed horizontal lines: kinetic energy per particle averaged over 10 s. Marked points correspond to the snapshots shown in B. Insetsi and ii: Voronoi construction of the cluster configuration before and after the avalanche. Light and dark blue represent the defects with 5 and 7 neighbors. (B) Spatiotemporal evolution of the raft during the avalanche highlighted in A. Arrows denote the displacement field from time t0 before the event. Particles are shown at their t0 locations and colored with their current values of Ekin/⟨Ekin⟩. (C) Normalized mean square displacement ⟨(Δr/L)2⟩ as a function of normalized time t/t* for both experiment and MD simulation. L denotes the lattice spacing, and t* = L/⟨v⟩. (D) Correlation parameter ⟨γ⟩ (Eq. 2) as a function of t/t*. The schematic shows the definition of γ, with angular weighting function wij=(n^i·r^ij)2 depicted by the shaded area; directions parallel to the particle motion are weighted more heavily. (E) Fraction of uncaged particles in a raft, Nu/Nt, as a function of t/t*. Nu and Nt are the uncaged and total particle number, respectively. A particle is considered uncaged if the displacement from time t0 is greater than ⟨vt*. The shaded area represents the SD from 10 independent avalanche events in the same raft.