1/x Probability Distribution in a Close Proximity of the Bak-Tang-Wiesenfeld Sandpile
Abstract
The mechanism of self-organized criticality is based on a steady slow loading and a quick huge stress-release. We add the clustering of the events in space and time to the Bak-Tang-Wiesenfeld cellular automaton and obtain the truncated 1/x probability distribution of the events over their sizes.
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