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相关论文: Damage spreading in the 'sandpile' model of SOC

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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…

统计力学 · 物理学 2015-05-27 Ajanta Bhowal Acharyya

Self-Organized Criticality is the emergence of long-ranged spatio-temporal correlations in non-equilibrium steady states of slowly driven systems without fine tuning of any control parameter. Sandpiles were proposed as prototypical examples…

软凝聚态物质 · 物理学 2007-05-23 S. S. Manna

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

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…

适应与自组织系统 · 物理学 2007-05-23 Dranreb Earl Juanico

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

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…

天体物理仪器与方法 · 物理学 2025-05-05 Markus J. Aschwanden , Felix Scholkmann

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

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

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

In the prototype sandpile model of self-organized criticality time series obtained by decomposing avalanches into waves of toppling show intermittent fluctuations. The q-th moments of wave size differences possess local multiscaling and…

统计力学 · 物理学 2009-11-07 Mario De Menech , Attilio L. Stella

We discuss the relation between self-organized criticality and depinning transitions by mapping sandpile models to equations that describe driven interfaces in random media. This equivalence yields a continuum description and gives insight…

统计力学 · 物理学 2007-05-23 K. B. Lauritsen , M. J. Alava

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…

统计力学 · 物理学 2009-11-11 Eugenio Lippiello , Lucilla de Arcangelis , Cataldo Godano

We explore the connection between self-organized criticality and phase transitions in models with absorbing states. Sandpile models are found to exhibit criticality only when a pair of relevant parameters - dissipation epsilon and driving…

统计力学 · 物理学 2009-10-30 Ronald Dickman , Alessandro Vespignani , Stefano Zapperi

A sandpile model with stochastic toppling rule is studied. The control parameters and the phase diagram are determined through a MF approach, the subcritical and critical regions are analyzed. The model is found to have some similarities…

凝聚态物理 · 物理学 2009-10-31 Alexei Vazquez , Oscar Sotolongo-Costa

Can the concept of self-organized criticality, exemplified by models such as the sandpile model, be described within the framework of continuous phase transitions? In this paper, we provide extensive numerical evidence supporting an…

统计力学 · 物理学 2025-01-30 S. S. Manna

We present a unified mean-field theory, based on the single site approximation to the master-equation, for stochastic self-organized critical models. In particular, we analyze in detail the properties of sandpile and forest-fire (FF)…

统计力学 · 物理学 2009-10-30 Alessandro Vespignani , Stefano Zapperi

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

The self-organized critical state is characterized by a power law distribution of cluster sizes and other properties. However experiments with sand and rice piles reveal distributions of avalanche sizes which are not power law distributed.…

凝聚态物理 · 物理学 2007-05-23 A. Vazquez , O. Sotolongo-Costa

We introduce two sandpile models which show the same behavior of real sandpiles, that is, an almost self-organized critical behavior for small systems and the dominance of large avalanches as the system size increases. The systems become…

统计力学 · 物理学 2009-11-07 Maria de Sousa Vieira

It is a common belief that power-law distributed avalanches are inherently unpredictable. This idea affects phenomena as diverse as evolution, earthquakes, superconducting vortices, stock markets, etc; from atomic to social scales. It…

无序系统与神经网络 · 物理学 2009-11-13 O. Ramos , E. Altshuler , K. J. Maloy
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