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Introduced by the late Per Bak and his colleagues, self-organized criticality (SOC) has been one of the most stimulating concepts to come out of statistical mechanics and condensed matter theory in the last few decades, and has played a…

Statistical Mechanics · Physics 2017-09-27 Nicholas Watkins , Gunnar Pruessner , Sandra Chapman , Norma Bock Crosby , Henrik Jensen

Shortly after the seminal paper {\sl "Self-Organized Criticality: An explanation of 1/f noise"} by Bak, Tang, and Wiesenfeld (1987), the idea has been applied to solar physics, in {\sl "Avalanches and the Distribution of Solar Flares"} by…

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

Self-organized criticality (SOC) refers to the ability of complex systems to evolve towards a 2nd-order phase transition at which interactions between system components lead to scale-invariant events beneficial for system performance. For…

Neurons and Cognition · Quantitative Biology 2021-05-18 Dietmar Plenz , Tiago L. Ribeiro , Stephanie R. Miller , Patrick A. Kells , Ali Vakili , Elliott L. Capek

Self-organised criticality (SOC) has been suggested as a potentially powerful unifying paradigm for interpreting the structure of, and signals from, accretion systems. After reviewing the most promising sites where SOC might be observable,…

Astrophysics · Physics 2011-05-23 R. O. Dendy , P. Helander , M. Tagger

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

We present a general conceptual framework for self-organized criticality (SOC), based on the recognition that it is nothing but the expression, ''unfolded'' in a suitable parameter space, of an underlying {\em unstable} dynamical critical…

adap-org · Physics 2009-10-22 Didier Sornette , Anders Johansen , Ivan Dornic

``Self-Organised Criticality'' (SOC) is the mechanism by which complex systems spontaneously settle close to a *critical point*, at the edge between stability and chaos, and characterized by fat-tailed fluctuations and long-memory…

General Finance · Quantitative Finance 2024-09-09 Jean-Philippe Bouchaud

We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods, is the mechanism that permits to observe self-organized…

Condensed Matter · Physics 2009-10-30 Alvaro Corral , Conrad J. Perez , Albert Diaz-Guilera

In this chapter 2 of the e-book "Self-Organized Criticality Systems" we summarize the classical cellular automaton models, which consist of a statistical aspect that is universal to all SOC systems, and a physical aspect that depends on the…

Solar and Stellar Astrophysics · Physics 2012-04-24 Markus J. Aschwanden

Complex networks are a recent type of frameworks used to study complex systems with many interacting elements, such as Self-Organized Criticality (SOC). The network node's tendency to link to other nodes of similar type is characterized by…

Adaptation and Self-Organizing Systems · Physics 2017-04-14 Alfonso Allen-Perkins , Javier Galeano , Juan Manuel Pastor

Although the paradigm of criticality is centred around spatial correlations and their anomalous scaling, not many studies of Self-Organised Criticality (SOC) focus on spatial correlations. Often, integrated observables, such as avalanche…

Statistical Mechanics · Physics 2017-08-01 Gary Willis , Gunnar Pruessner

Communication networks involve the transmission and reception of large volumes of data. Research indicates that network traffic volumes will continue to increase. These traffic volumes will be unprecedented and the behaviour of global…

Human-Computer Interaction · Computer Science 2017-12-01 Paul Vickers , Chris Laing , Tom Fairfax

This paper is devoted to the recent advances in self-organized criticality (SOC), and the concepts. The paper contains three parts; in the first part we present some examples of SOC systems, in the second part we add some comments…

Statistical Mechanics · Physics 2021-08-11 M. N. Najafi , S. Tizdast , J. Cheraghalizadeh

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

A novel mechanism for the generation of self-organized criticality (SOC) is discussed in terms of the coupled-vibration model where the total system is forced under the uniform expansion of the Hubble type. This system shows a robust SOC…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Akira Iwamoto , Shinpei Chikazumi

The original sandpile model of Bak, Tang and Wiesenfeld from 1987 has inspired lots of consequent work and further ideas of how to describe the birth of scale-invariant statistics in various systems and in particular models. In this article…

Statistical Mechanics · Physics 2007-05-23 Mikko Alava

We show that correlated dynamics and long time memory persist in self-organized criticality (SOC) systems even when forced away from the defined critical point that exists at vanishing drive strength. These temporal correlations are found…

Statistical Mechanics · Physics 2016-08-16 Ryan Woodard , David E. Newman , Raúl Sánchez , Benjamin A. Carreras

Stochastic Optimal Control (SOC) problems arise in systems influenced by uncertainty, such as autonomous robots or financial models. Traditional methods like dynamic programming are often intractable for high-dimensional, nonlinear systems…

Optimization and Control · Mathematics 2025-04-25 Apurva Patil

System-on-Chip (SoC) designs are used in every aspect of computing and their optimization is a difficult but essential task in today's competitive market. Data taken from SoCs to achieve this is often characterised by very long concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-25 Dave McEwan , Jose Nunez-Yanez
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