$1/x$ 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 (8)

• Power laws and Self-Organized Criticality in Theory and Nature
• Sandpile on Scale-Free Networks
• 25 Years of Self-Organized Criticality: Concepts and Controversies
• Self-organized criticality as an absorbing-state phase transition
• Multifractal scaling in the Bak-Tang-Wiesenfeld Sandpile and edge events
• Emergent spatial structures in critical sandpiles
• Self-Organized Criticality in Stellar Flares
• Precise toppling balance, quenched disorder, and universality for sandpiles

Cited by in corpus (1)

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