Spatial and temporal separation of recurrent avalanches in a slowly-driven one-sided granular pile
Self organized critical behavior were seen from sandpile models. However, the behavior of a granular pile, which is the nearest illustration of a sandpile, is not yet fully understood. In this work, a temporally directed network of recurrent avalanche events was constructed. In this case, an event is a recurrent of another if it is either spatially near or far compared all other events in between. Previous works have studied the temporal characteristics of avalanches in sandpiles and granular piles. However, in a granular pile that is externally perturbed by adding grains, the accumulation of grains causes instability which will result in a big avalanche event. In our work, we considered all avalanches, including zero avalanche events, in constructing our recurrence network.