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Related papers: Self-Organized Criticality Induced by Diversity

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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

We show that the coupled complex systems can evolve into a new kind of self-organized critical state where each subsystem is not critical, however, they cooperate to be critical. This criticality is different from the classical BTW…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 Lei Liu , Fei Hu

In self-organized criticality (SOC) models, as well as in standard phase transitions, criticality is only present for vanishing external fields $h \to 0$. Considering that this is rarely the case for natural systems, such a restriction…

Adaptation and Self-Organizing Systems · Physics 2022-02-14 Gustavo Menesse , Bóris Marin , Mauricio Girardi-Schappo , Osame Kinouchi

According to the criticality hypothesis, collective biological systems should operate in a special parameter region, close to so-called critical points, where the collective behavior undergoes a qualitative change between different…

Populations and Evolution · Quantitative Biology 2021-06-09 Pascal P. Klamser , Pawel Romanczuk

Since Self-Organised Criticality (SOC) was introduced in the 1987 both the nature of the self-organisation and of the criticality remains controversial. Recent observations on rain precipitation and on brain activity suggest that real…

Statistical Mechanics · Physics 2017-06-02 Lorenzo Palmieri , Henrik Jeldtoft Jensen

Self-organized critical models are used to describe the 1/f-spectra of rather different physical situations like snow avalanches, noise of electric currents, luminosities of stars or topologies of landscapes. The prototype of the SOC-models…

Statistical Mechanics · Physics 2009-10-31 Dieter Joseph

We discuss recent results on a new analysis regarding models showing Self-Organized Criticality (SOC), and in particular on the OFC one. We show that Probability Density Functions (PDFs) for the avalanche size differences at different times…

Geophysics · Physics 2009-11-13 F. Caruso , A. Pluchino , V. Latora , A. Rapisarda , S. Vinciguerra

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

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

We build and study a multidimensional version of the Curie-Weiss model of self-organized criticality we have designed in arXiv:1301.6911. For symmetric distributions satisfying some integrability condition, we prove that the sum $S_n$ of…

Probability · Mathematics 2015-10-28 Matthias Gorny

The question we address here is of whether phenomena of collective bankruptcies are related to self-organized criticality. In order to answer it we propose a simple model of banking networks based on the random directed percolation. We…

Statistical Mechanics · Physics 2009-11-07 Agata Aleksiejuk , Janusz A. Holyst , Gueorgi Kossinets

We investigate a random--neighbours version of the two dimensional non-conserving earthquake model of Olami, Feder and Christensen [Phys. Rev. Lett. {\bf 68}, 1244 (1992)]. We show both analytically and numerically that criticality can be…

Condensed Matter · Physics 2009-10-28 Stefano Lise , Henrik Jeldtoft Jensen

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

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

The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without…

Statistical Mechanics · Physics 2007-11-29 A. V. Milovanov , K. Rypdal , J. J. Rasmussen

Out-of-time-order correlators (OTOCs) have been proposed as a probe of chaos in quantum mechanics, on the basis of their short-time exponential growth found in some particular set-ups. However, it has been seen that this behavior is not…

The unreduced, universally nonperturbative analysis of arbitrary many-body interaction process reveals the irreducible, purely dynamic source of randomness. It leads to the universal definition of real system complexity (physics/9806002),…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

A minimal model for self-organized critical percolation on directed graphs with activating and de-activating links is studied. Unlike classical self-organized criticality, the variables that determine criticality are separated from the…

Statistical Mechanics · Physics 2007-05-23 Christel Kamp , Stefan Bornholdt

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

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

Statistical Mechanics · Physics 2018-08-01 Miguel A. Munoz