title: Spatiotemporal chaotic unjamming and jamming in granular avalanches.
abstract: We have investigated the spatiotemporal chaotic dynamics of unjamming and jamming of particles in a model experiment - a rotating drum partially filled with bidisperse disks to create avalanches. The magnitudes of the first Lyapunov vector δu(t) and velocity v(t) of particles are directly measured for the first time to yield insights into their spatial correlation Cδu,v, which is on statistical average slightly larger near the unjamming than the value near the jamming transition. These results are consistent with the recent work of Banigan et al (Nature Phys. 2013), and it is for the first time to validate their theoretical models in a real scenario. v(t) shows rich dynamics: it grows exponentially for unstable particles and keeps increasing despite stochastic interactions; after the maximum, it decays with large fluctuations. Hence the spatiotemporal chaotic dynamics of avalanche particles are entangled, causing temporal correlations of macroscopic quantities of the system. We propose a simple model for these observations.
authors: Zhiyuan College, Shanghai Jiao Tong University, Shanghai 200240, China.
authors: Ziwei
authors: Z
authors: Wang
authors: 1] Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China [2] Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China.
authors: Jie
authors: J
authors: Zhang
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