A. Shapoval, B. Shapoval, M. Shnirman
Published 2021-05-10Version 1
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.
Probability distribution and sizes of spanning clusters at the percolation thresholds
Probability distribution of the order parameter
Probability distribution of residence-times of grains in sandpile models
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