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The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is then regarded as a first-return random walk…

Statistical Mechanics · Physics 2009-11-10 C. B. Yang

The disorder and a simple convex measure of complexity are studied for rank ordered power law distributions, indicative of criticality, in the case where the total number of ranks is large. It is found that a power law distribution may…

adap-org · Physics 2007-05-23 J. S. Shiner

The statistics of natural catastrophes contains very counter-intuitive results. Using earthquakes as a working example, we show that the energy radiated by such events follows a power-law or Pareto distribution. This means, in theory, that…

Statistical Mechanics · Physics 2012-10-04 Alvaro Corral , Francesc Font-Clos

Power laws and distributions with heavy tails are common features of many experimentally studied complex systems, like the distribution of the sizes of earthquakes and solar flares, or the duration of neuronal avalanches in the brain.…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Dimitrije Markovic , Claudius Gros

The basic laws of physics are simple, so why is the world complex? The theory of self-organized criticality posits that complex behavior in nature emerges from the dynamics of extended, dissipative systems that evolve through a sequence of…

Statistical Mechanics · Physics 2007-05-23 Maya Paczuski , Per Bak

We investigate the relevance of {\sl self-organized criticality (SOC)} models in previously published empirical datasets, which includes statistical observations in astrophysics, geophysics, biophysics, sociophysics, and informatics. We…

Instrumentation and Methods for Astrophysics · Physics 2025-05-05 Markus J. Aschwanden , Felix Scholkmann

In this paper I propose a 'mechanism' for the explanation of power-law characteristics of casualty dynamics in inter-state wars, intra-state wars and terrorist attacks: the scale-free physical organization of social systems. Other…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Ingo Piepers

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

The train model which is a variant of the Burridge-Knopoff earthquake model is investigated for a velocity-strengthening friction law. It shows self-organized criticality with complex scaling exponents. That is, the probability density…

adap-org · Physics 2009-10-30 Franz-Josef Elmer

A simple model economy with locally interacting producers and consumers is introduced. When driven by extremal dynamics, the model self-organizes {\em not} to an attractor state, but to an asymptote, on which the economy has a constant rate…

Statistical Mechanics · Physics 2011-04-12 Simon F. Norrelykke , Per Bak

The presence of self-organized criticality in biology is often evidenced by a power-law scaling of event size distributions, which can be measured by linear regression on logarithmic axes. We show here that such a procedure does not…

Adaptation and Self-Organizing Systems · Physics 2015-05-14 Jonathan Touboul , Alain Destexhe

The Stock Market is a complex self-interacting system, characterized by an intermittent behaviour. Periods of high activity alternate with periods of relative calm. In the present work we investigate empirically about the possibility that…

Other Condensed Matter · Physics 2016-08-31 M. Bartolozzi , D. B. Leinweber , A. W. Thomas

The concept of "self-organized criticality" (SOC) has been introduced by Bak, Tang, and Wiesenfeld (1987) to describe the statistics of avalanches on the surface of a sandpile with a critical slope, which produces a scale-free powerlaw size…

Solar and Stellar Astrophysics · Physics 2010-03-02 Markus J. Aschwanden

Critical states are sometimes identified experimentally through power-law statistics or universal scaling functions. We show here that such features naturally emerge from networks in self-sustained irregular regimes away from criticality.…

Neurons and Cognition · Quantitative Biology 2017-02-08 Jonathan Touboul , Alain Destexhe

There is growing interest in using safety analytics and machine learning to support the prevention of workplace incidents, especially in high-risk industries like construction and trucking. Although existing safety analytics studies have…

Machine Learning · Computer Science 2024-08-15 Kailai Sun , Tianxiang Lan , Yang Miang Goh , Yueng-Hsiang Huang

Self-organized criticality is characterized by power law correlations in the non-equilibrium steady state of externally driven systems. A dynamical system proposed here self-organizes itself to a critical state with no characteristic size…

Soft Condensed Matter · Physics 2009-11-11 Santanu Sinha , Vimal Kishore , S. B. Santra

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

Power laws in nature are considered to be signatures of complexity. The theory of self-organized criticality (SOC) was proposed to explain their origins. A longstanding principle of SOC is the \emph{separation of timescales} axiom. It…

Neurons and Cognition · Quantitative Biology 2019-07-03 Anirban Das , Anna Levina

Many natural phenomena exhibit power law behaviour in the distribution of event size. This scaling is successfully reproduced by Self Organized Criticality (SOC). On the other hand, temporal occurrence in SOC models has a Poisson-like…

Statistical Mechanics · Physics 2009-11-11 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

Certain systems with slow driving and avalanche-like dissipation events are naturally close to a critical point when the ratio of two energy scales is large. The first energy scale is the threshold above which an avalanche is triggered, the…

Statistical Mechanics · Physics 2015-06-25 Barbara Drossel
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