Mean Field Theory of Sandpile Avalanches: from the Intermittent to the Continuous Flow Regime

Details Mean Field Theory of Sandpile Avalanches: from the Intermittent to the Continuous Flow Regime Mean Field Theory of Sandpile Avalanches: from the Intermittent to the Continuous Flow Regime

1993-10-23

arxiv.org/abs/cond-mat/9310054v1

Phys. Rev. E 48 (1993) 4095-4098

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, RevTeX 3.0, postscript figures 1, 3 and 4 appended.

Scientific paper

10.1103/PhysRevE.48.4095

We model the dynamics of avalanches in granular assemblies in partly filled rotating cylinders using a mean-field approach. We show that, upon varying the cylinder angular velocity $\omega$, the system undergoes a hysteresis cycle between an intermittent and a continuous flow regimes. In the intermittent flow regime, and approaching the transition, the avalanche duration exhibits critical slowing down with a temporal power-law divergence. Upon adding a white noise term, and close to the transition, the distribution of avalanche durations is also a power-law. The hysteresis, as well as the statistics of avalanche durations, are in good qualitative agreement with recent experiments in partly filled rotating cylinders.

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