$1/x$ 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.

References in corpus (2)

• Sandpile on Scale-Free Networks
• Self-Organized Criticality in Stellar Flares

Cited by in corpus (1)

• $1/\phi$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile