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相关论文: Self-Organized Criticality in a Bulk Driven One-Di…

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We study a simple model of spin network evolution motivated by the hypothesis that the emergence of classical space-time from a discrete microscopic dynamics may be a self-organized critical process. Self organized critical systems are…

高能物理 - 理论 · 物理学 2008-11-26 Mohammad H. Ansari , Lee Smolin

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),…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

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

A model of the universe as a self-organized critical system is considered. The universe evolves to a state independently of the initial conditions at the edge of chaos. The critical state is an attractor of the dynamics. Random metric…

广义相对论与量子宇宙学 · 物理学 2008-02-03 J. W. Moffat

The origin of self-organized criticality in a model without conservation law (Olami, Feder, and Christensen, Phys. Rev. Lett. {\bf 68}, 1244 (1992)) is studied. The homogeneous system with periodic boundary condition is found to be periodic…

凝聚态物理 · 物理学 2009-10-22 A. Alan Middleton , Chao Tang

We propose a spin model with quenched disorder which exhibits in slow driving two drastically different types of critical nonequilibrium steady states. One of them corresponds to classical criticality requiring fine-tuning of the disorder.…

无序系统与神经网络 · 物理学 2009-11-13 Francisco-Jose Perez-Reche , Lev Truskinovsky , Giovanni Zanzotto

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 disorder and a simple convex measure of complexity are studied for rank ordered power law distributions, indicative of criticality, in the case where the total number of ranks is large. It is found that a power law distribution may…

adap-org · 物理学 2007-05-23 J. S. Shiner

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 consider the Bernoulli percolation model in a finite box and we introduce an automatic control of the percolation probability, which is a function of the percolation configuration. For a suitable choice of this automatic control, the…

概率论 · 数学 2022-01-21 Raphaël Cerf , Nicolas Forien

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

Atmospheric flows exhibit selfsimilar fluctuations on all scales(space-time) ranging from climate(kilometers/years) to turbulence(millimeters/seconds) manifested as fractal geometry to the global cloud cover pattern concomitant with inverse…

chao-dyn · 物理学 2007-05-23 A. Mary Selvam

Two dimensional condensed matter is realised in increasingly diverse forms that are accessible to experiment and of potential technological value. The properties of these systems are influenced by many length scales and reflect both generic…

统计力学 · 物理学 2011-07-15 Andrea Taroni , Steven T. Bramwell , Peter C. W. Holdsworth

We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same…

统计力学 · 物理学 2011-03-24 Ole Peters , Michelle Girvan

The seismic processes are well known to be self-similar in both spatial and temporal behavior. At the same time, the Burridge-Knopoff (BK) model of earthquake fault dynamics, one of the basic models of theoretical seismicity, does not…

chao-dyn · 物理学 2008-02-03 P. G. Akishin , M. V. Altaisky , A. D. Budnik , V. V. Ivanov , I. Antoniou

We present a field theoretic renormalization group study for the critical behaviour of a uniformly driven diffusive system with quenched disorder, which is modelled by different kinds of potential barriers between sites. Due to their…

统计力学 · 物理学 2015-06-25 V. Becker , H. K. Janssen

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

We consider two, apparently similar, models of biological evolution which have been claimed to exhibit self-organized critical behaviour. A careful reanalysis of these models, including several new analytic results for one of them, suggests…

凝聚态物理 · 物理学 2009-10-22 Jan de Boer , A. D. Jackson , Tilo Wettig

A novel mechanism for the generation of self-organized criticality (SOC) is discussed in terms of the coupled-vibration model where the total system is forced under the uniform expansion of the Hubble type. This system shows a robust SOC…

适应与自组织系统 · 物理学 2007-05-23 Akira Iwamoto , Shinpei Chikazumi

A system is in a self-organized critical state if the distribution of some measured events (avalanche sizes, for instance) obeys a power law for as many decades as it is possible to calculate or measure. The finite-size scaling of this…

统计力学 · 物理学 2007-05-23 Josue X. Carvalho , Carmen P. C. Prado