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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…

种群与进化 · 定量生物学 2018-09-11 Yohsuke Murase , Per Arne Rikvold

We have investigated the essential ingredients allowing a system to show Self Organized Criticality (SOC) in its collective behavior. Using the Bak-Sneppen model of biological evolution as our paradigm, we show that the random microscopic…

凝聚态物理 · 物理学 2009-10-30 Paolo De Los Rios , Angelo Valleriani , José Luis Vega

Large scale organization in ensembles of events of atmospheric convection can be generated by the combined effect of forcing and of the interaction between the raising plumes and the environment. Here the "large scale" refers to the space…

大气与海洋物理 · 物理学 2014-04-18 F. Spineanu , M. Vlad , D. Palade

We introduce a stochastic sandpile model where finite drive and dissipation are coupled to the activity field. The absorbing phase transition here, as expected, belongs to the directed percolation (DP) universality class. We focus on the…

统计力学 · 物理学 2015-06-23 U. Basu , P. K. Mohanty

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…

统计力学 · 物理学 2007-05-23 Mikko Alava

The notion of Self-organized criticality (SOC) had been conceived to interpret the spontaneous emergence of long range correlations in nature. Since then many different models had been introduced to study SOC. All of them have few common…

统计力学 · 物理学 2023-05-03 S. S. Manna

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…

统计力学 · 物理学 2007-05-23 Ph. Blanchard , B. Cessac , T. Krueger

Self-Organized Criticality (SOC) phenomena could have a significant effect on the dynamics of ecosystems. The Bak-Sneppen (BS) model is a simple and robust model of biological evolution that exhibits punctuated equilibrium behavior. Here we…

适应与自组织系统 · 物理学 2009-11-10 E. Ahmed , M. F. Elettreby

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 · 物理学 2009-10-22 Didier Sornette , Anders Johansen , Ivan Dornic

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…

统计力学 · 物理学 2015-06-25 Ronald Dickman , Miguel A. Munoz , Alessandro Vespignani , Stefano Zapperi

Neuronal networks can present activity described by power-law distributed avalanches presumed to be a signature of a critical state. Here we study a random-neighbor network of excitable cellular automata coupled by dynamical synapses. The…

适应与自组织系统 · 物理学 2015-07-21 Ariadne de A. Costa , Mauro Copelli , Osame Kinouchi

We demonstrate the phenomenon of self organized criticality (SOC) in a simple random walk model described by a random walk of a myopic ant. The ant acts on the underlying lattice aiming at uniform digging of the surface but is unaffected by…

凝聚态物理 · 物理学 2008-02-03 Prashant M. Gade , M. P. Joy

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,…

天体物理学 · 物理学 2011-05-23 R. O. Dendy , P. Helander , M. Tagger

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…

神经元与认知 · 定量生物学 2021-05-18 Dietmar Plenz , Tiago L. Ribeiro , Stephanie R. Miller , Patrick A. Kells , Ali Vakili , Elliott L. Capek

We study here the Bak and Sneppen model, a prototype model for the study of Self-Organized Criticality. In this model several species interact and undergo extinction with a power law distribution of activity bursts. Species are defined…

统计力学 · 物理学 2007-05-23 G. Caldarelli , M. Felici , A. Gabrielli , L. Pietronero

We suggest a generalized definition of self-organized criticality (SOC) systems: SOC is a critical state of a nonlinear energy dissipation system that is slowly and continuously driven towards a critical value of a system-wide instability…

太阳与恒星天体物理 · 物理学 2015-06-17 Markus J. Aschwanden

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…

凝聚态物理 · 物理学 2009-10-30 Paolo De Los Rios , Angelo Valleriani , Jose Luis Vega

We introduce a generalized homogeneous function to describe the joint probability density for magnitude and duration of events in self-organized critical systems (SOC). It follows that the cumulative distributions of magnitude and of…

适应与自组织系统 · 物理学 2007-05-23 J. Feder , H. Nordhagen , W. A. Watters

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…

适应与自组织系统 · 物理学 2007-05-23 B. Cessac

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…

太阳与恒星天体物理 · 物理学 2010-03-02 Markus J. Aschwanden
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