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We have investigated the spatiotemporal chaotic dynamics of unjamming andjamming of particles in a toy-model system -- a rotating drum partially filledwith bidisperse disks to create avalanches. The magnitudes of the firstLyapunov vector $\delta u(t)$ and velocity $v(t)$ of particles are directlymeasured for the first time to yield insights into their spatial correlation$C_{\delta u,v}$, which is stronger near the unjamming but is weaker near thejamming transition, consistent with the recent work of Banigan et al., NaturePhys. $\bf{9}$, 288, (2013). $v(t)$ shows rich dynamics: it grows exponentiallyfor unstable particles and keeps increasing despite stochastic interactions;after the maximum, it decays with large fluctuations. Hence the spatiotemporalchaotic dynamics of avalanche particles are entangled, causing temporalcorrelations of macroscopic quantities of the system. We propose a simple modelfor these observations.

Spatiotemporal Chaotic unjamming and jamming in granular avalanches