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A self-organising model is proposed to explain the criticality in cortical networks deduced from recent observations of neuronal avalanches. Prevailing understanding of self-organised criticality (SOC) dictates that conservation of energy…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Dranreb Earl Juanico

We revise the applicability of the theory of self-organized criticality (SOC) to the process of magnetic relaxation in type-II superconductors. The driving parameter of self-organization of vortices is the energy barrier for flux creep and…

Superconductivity · Physics 2009-10-31 R. Prozorov , D. Giller

We study the surface roughness of prototype models displaying self-organized criticality (SOC) and their noncritical variants in one dimension. For SOC systems, we find that two seemingly equivalent definitions of surface roughness yields…

Statistical Mechanics · Physics 2009-11-10 J. G. Oliveira , J. F. F. Mendes , G. Tripathy

A likely source of earthquake clustering is static stress transfer between individual events. Previous attempts to quantify the role of static stress for earthquake triggering generally considered only the stress changes caused by large…

Geophysics · Physics 2017-06-28 Shyam Nandan , Guy Ouillon , Jochen Woessner , Didier Sornette , Stefan Wiemer

In this chapter of the e-book "Self-Organized Criticality Systems" we summarize some theoretical approaches to self-organized criticality (SOC) phenomena that involve percolation as an essential key ingredient. Scaling arguments, random…

Chaotic Dynamics · Physics 2012-07-24 Alexander V. Milovanov

The stability of powergrid is crucial since its disruption affects systems ranging from street lightings to hospital life-support systems. Nevertheless, large blackouts are inevitable if powergrids are in the state of self-organized…

Physics and Society · Physics 2018-10-18 Ho Fai Po , Chi Ho Yeung , An Zeng , K. Y. Michael Wong

Like natural seismicity, induced seismicity caused by fluid injection also shows a power law size distribution, and its gradient b-value (ratio of small to large earthquakes) is often used for seismic hazard analysis. Despite well-known…

This is the extensive follow-up report of a recent Letter in which the existence of self-organized criticality (SOC) in systems of interacting soft gluons is proposed, and its consequences for inelastic diffractive scattering processes are…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Boros , Meng Ta-chung , R. Rittel , K. Tabelow , Zhang Yang

Critical phenomena near continuous phase transitions are typically observed on the scale of wavelengths of visible light[1]. Here we report similar phenomena for atmospheric precipitation on scales of tens of kilometers. Our observations…

Statistical Mechanics · Physics 2007-05-23 Ole Peters , J. David Neelin

It is a common belief that power-law distributed avalanches are inherently unpredictable. This idea affects phenomena as diverse as evolution, earthquakes, superconducting vortices, stock markets, etc; from atomic to social scales. It…

Disordered Systems and Neural Networks · Physics 2009-11-13 O. Ramos , E. Altshuler , K. J. Maloy

The concept of Self-Organized Criticality (SOC) was proposed in an attempt to explain the widespread appearance of power-law in nature. It describes a mechanism in which a system reaches spontaneously a state where the characteristic events…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 B. Cessac

Neuronal networks can present activity described by power-law distributed avalanches presumed to be a signature of a critical state. Here we study a random-neighbor network of excitable cellular automata coupled by dynamical synapses. The…

Adaptation and Self-Organizing Systems · Physics 2015-07-21 Ariadne de A. Costa , Mauro Copelli , Osame Kinouchi

A mean-field sandpile model that exhibits self-organized criticality (SOC) despite violation of the grain-transfer conservation law during avalanches is proposed. The sandpile consists of $N$ agents and possesses background activity with…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Dranreb Earl Juanico

We study a 2D quasi-static discrete {\it crack} anti-plane model of a tectonic plate with long range elastic forces and quenched disorder. The plate is driven at its border and the load is transfered to all elements through elastic forces.…

Condensed Matter · Physics 2020-01-29 Didier Sornette , Christian Vanneste

We present a unified mean-field theory, based on the single site approximation to the master-equation, for stochastic self-organized critical models. In particular, we analyze in detail the properties of sandpile and forest-fire (FF)…

Statistical Mechanics · Physics 2009-10-30 Alessandro Vespignani , Stefano Zapperi

Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Silja Sormunen , Thilo Gross , Jari Saramäki

We present a pedagogical introduction to self-organized criticality (SOC), unraveling its connections with nonequilibrium phase transitions. There are several paths from a conventional critical point to SOC. They begin with an…

Statistical Mechanics · Physics 2015-06-25 Ronald Dickman , Miguel A. Munoz , Alessandro Vespignani , Stefano Zapperi

Signatures of self-organized criticality (SOC) have recently been observed in an ultracold atomic gas under continuous laser excitation to strongly-interacting Rydberg states [S. Helmrich et al., Nature, 577, 481--486 (2020)]. This creates…

Quantum Gases · Physics 2021-03-31 K. Klocke , T. M. Wintermantel , G. Lochead , S. Whitlock , M. Buchhold

Seismicity and faulting within the Earth crust are characterized by many scaling laws that are usually interpreted as qualifying the existence of underlying physical mechanisms associated with some kind of criticality in the sense of phase…

Geophysics · Physics 2021-03-31 Shyam Nandan , Sumit Kumar Ram , Guy Ouillon , Didier Sornette

Based on the LISSOM model and the OFC earthquake model, we introduce a self-organized feature map Neural Network model . It displays a "Self Organized Criticality"(SOC) behavior. It can be seen that the feature area (synchronized area)…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Xiao Wei Zhao , Tian Lun Chen