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Self-Organized Criticality

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The article was published on 1998-01-01 and is currently open access. It has received 610 citations till now.

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Journal ArticleDOI

Anomalous scaling in the Zhang model

TL;DR: In this paper, the authors apply the moment analysis technique to analyze large scale simulations of the Zhang sandpile model and find that this model shows different scaling behavior depending on the update mechanism used.
Journal ArticleDOI

Emergent behaviour: theory and experimentation using the mana model

TL;DR: Evidence from an agent-based model of conflict (MANA) is presented which supports theoretical analysis of the Lanchester equations of industrial age warfare into the information age, corresponding to the shift towards more self-organising force elements in future conflicts.
Journal Article

Connections between 'self-organised' and 'classical' criticality

TL;DR: In this paper, the authors investigated the nature of self-organised critical behaviour in the Abelian sandpile model and in the Bak { Sneppen evolution model, and they concluded that the self-organized criticality is somewhat confusing, since the tuning of parameters in a model has been replaced by the careful choice of a suitable model.
Journal ArticleDOI

Critical Thresholds and the Limit Distribution in the Bak-Sneppen Model

TL;DR: In this article, the authors define three critical thresholds related to avalanche characteristics, and prove that if these critical thresholds are the same and equal to some p ≥ 0.667, then the limit distribution is the product of uniform distributions on (p ≥ 1), and moreover p ≥ 1 < 0.75.
Book ChapterDOI

Fractures and Physical Heterogeneity in Crustal Rock

Peter Leary
TL;DR: Despite decades of effort to effectively model fracture distributions in crustal rock, in situ flow and failure structures continue to defeat model predictions as discussed by the authors, and the absence of spatially accurate predictive models seriously degrades hydrocarbon recovery.