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Using the Bak-Sneppen model of biological evolution as our paradigm, we investigate in which cases noise can be substituted with a deterministic signal without destroying Self-Organized Criticality (SOC). If the deterministic signal is…

Condensed Matter · Physics 2009-10-30 Paolo De Los Rios , Angelo Valleriani , Jose Luis Vega

We obtain evidence that the dynamics of glassy systems below the glass transition is characterized by self-organized criticality. Using molecular dynamics simulations of a model glass-former we identify clusters of cooperatively jumping…

Disordered Systems and Neural Networks · Physics 2015-06-25 Katharina Vollmayr-Lee , Elizabeth A. Baker

We develop a dynamical system approach for the Zhang's model of Self-Organized Criticality, for which the dynamics can be described either in terms of Iterated Function Systems, or as a piecewise hyperbolic dynamical system of skew-product…

Statistical Mechanics · Physics 2007-05-23 Ph. Blanchard , B. Cessac , T. Krueger

In this paper, we introduce a Markov process whose unique invariant distribution is the Curie-Weiss model of self-organized criticality (SOC) we designed in arXiv:1301.6911. In the Gaussian case, we prove rigorously that it is a dynamical…

Probability · Mathematics 2015-11-17 Matthias Gorny

A spring-block model governed by threshold dynamics and driven by temporally increasing spring constants is investigated. Due to its novel multiplicative driving, criticality occurs even with periodic boundary conditions via a mechanism…

Statistical Mechanics · Physics 2009-10-30 Kwan-tai Leung , Joergen Vitting Andersen , Didier Sornette

I review the concept of self-organized criticality, wherein dissipative systems naturally drive themselves to a critical state with important phenomena occurring over a wide range of length and time scales. Several exact results are…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Creutz

We have studied the damage spreading (defined in the text) in the 'sandpile' model of self organised criticality. We have studied the variations of the critical time (defined in the text) and the total number of sites damaged at critical…

Statistical Mechanics · Physics 2015-05-27 Ajanta Bhowal Acharyya

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

A new Self-Organized Criticality (SOC) model is introduced in the form of a Cellular Automaton (CA) for ion temperature gradient (ITG) mode driven turbulence in fusion plasmas. Main characteristics of the model are that it is constructed in…

Plasma Physics · Physics 2015-05-19 Heinz Isliker , Theophilos Pisokas , Dafni Strintzi , Loukas Vlahos

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

We have studied the damage spreading (defined in the text) in the 'sandpile' model of self organised criticality. We have studied the variations of the critical time (defined in the text) and the total no of sites damaged at critical time…

Condensed Matter · Physics 2007-05-23 Ajanta Bhowal

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

In this article I discuss the outcome of an exploratory research project based on complexity science concepts and theories; this research is focused on the Great Power war dynamics in the time period 1495 - 1945. According to this research,…

Adaptation and Self-Organizing Systems · Physics 2014-09-25 Ingo Piepers

Experimental observations consistent with Self Organized Criticality (SOC) have been obtained in the electrostatic floating potential fluctuations of a dc glow discharge plasma. Power spectrum exhibits a power law which is compatible with…

Plasma Physics · Physics 2010-03-17 Md. Nurujjaman , A. N. Sekar Iyengar

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

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

We investigate a suggested path to self-organized criticality. Originally, this path was devised to "generate criticality" in systems displaying an absorbing-state phase transition, but closer examination of the mechanism reveals that it…

Statistical Mechanics · Physics 2007-05-23 Gunnar Pruessner , Ole Peters

We study models of biological evolution and investigate a key factor to yield self-organized criticality (SOC). The Bak-Sneppen (BS) model is the most basic model that shows an SOC state, which is developed based on minimal and plausible…

Populations and Evolution · Quantitative Biology 2018-09-11 Yohsuke Murase , Per Arne Rikvold

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

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