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We present the first solvable non-conservative sandpile-like critical model of Self-Organized Criticality (SOC), and thereby substantiate the suggestion by Vespignani and Zapperi [A. Vespignani and S. Zapperi, Phys. Rev. E 57, 6345 (1998)]…

统计力学 · 物理学 2009-11-07 Gunnar Pruessner , Henrik Jeldtoft Jensen

In a recent paper, Newman surveys the literature on power law spectra in evolution, self-organised criticality and presents a model of his own to arrive at a conclusion that self-organised criticality is not necessary for evolution. Not…

生物物理 · 物理学 2009-10-31 Russell K. Standish

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…

适应与自组织系统 · 物理学 2022-02-14 Gustavo Menesse , Bóris Marin , Mauricio Girardi-Schappo , Osame Kinouchi

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…

物理与社会 · 物理学 2018-10-18 Ho Fai Po , Chi Ho Yeung , An Zeng , K. Y. Michael Wong

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…

适应与自组织系统 · 物理学 2017-04-14 Alfonso Allen-Perkins , Javier Galeano , Juan Manuel Pastor

Two different models exhibiting self-organized criticality are analyzed by means of the dynamic renormalization group. Although the two models differ by their behavior under a parity transformation of the order parameter, it is shown that…

凝聚态物理 · 物理学 2009-10-22 Albert Diaz-Guilera

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)…

适应与自组织系统 · 物理学 2007-05-23 Xiao Wei Zhao , Tian Lun Chen

A nonlinearly coupled system of bouncing balls is shown to exhibit features like self-organised-criticality (SOC) and punctuated equilibrium (PE) in suitable parameter domains. The temporal evolution of the non-stationary amplitudes is…

混沌动力学 · 物理学 2016-08-17 Kaushal Gianchandani , A. N. Sekar Iyengar , Prasanta K. Panigrahi

Avalanches, or Avalanche-like, events are often observed in the dynamical behaviour of many complex systems which span from solar flaring to the Earth's crust dynamics and from traffic flows to financial markets. Self-organized criticality…

数据分析、统计与概率 · 物理学 2009-11-13 M. Bartolozzi

Instances of critical-like characteristics in living systems at each organizational level as well as the spontaneous emergence of computation (Langton), indicate the relevance of self-organized criticality (SOC). But extrapolating complex…

其他定量生物学 · 定量生物学 2012-08-23 Gargi Mitra-Delmotte , A. N. Mitra

It is proposed that self-organisation (SO) in non-equilibrium systems is governed by a general principle: it emerges when a minute subset of system configurations are exceptionally stable and long-lived to survive the noise generated by the…

统计力学 · 物理学 2026-04-20 Raphael Blumenfeld

The Bak-Sneppen model of self-organized biological evolution of an infinite ecosystem of randomly interacting species is represented in terms of an infinite set of variables which can be considered as an analog to the set of integrals of…

统计力学 · 物理学 2009-10-31 Yu. M. Pis'mak

In this work we study the effects of introducing long range interactions in the Bak-Sneppen (BS) model of biological evolution. We analyze a recebtly propopsed version of the BS model where the interactions decay as r^{-alpha}; in this way…

无序系统与神经网络 · 物理学 2009-10-31 Pablo M. Gleiser , Francisco A. Tamarit , Sergio A. Cannas

We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time,…

统计力学 · 物理学 2009-10-31 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Readiness potential is a widely observed brain activity in several species including crayfish before the spontaneous behavioral initiation. However, it is poorly understood how this spontaneous activity is generated. The hypothesis that…

神经元与认知 · 定量生物学 2024-08-05 Katsushi Kagaya , Tomoyuki Kubota , Kohei Nakajima

Large populations of globally-coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that for strong coupling, the collective…

统计力学 · 物理学 2009-11-10 Silvia De Monte , Francesco d'Ovidio , Hugues Chaté , Erik Mosekilde

The "Self-organized criticality" (SOC), introduced in 1987 by Bak, Tang and Wiesenfeld, was an attempt to explain the 1/f noise, but it rapidly evolved towards a more ambitious scope: explaining scale invariant avalanches. In two decades,…

统计力学 · 物理学 2011-04-27 Osvanny Ramos

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

统计力学 · 物理学 2018-08-29 Lorenzo Palmieri , 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…

统计力学 · 物理学 2009-10-30 Kwan-tai Leung , Joergen Vitting Andersen , Didier Sornette

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…

凝聚态物理 · 物理学 2009-10-28 Stefano Lise , Henrik Jeldtoft Jensen