Self-Organized Criticality Theory Model of Thermal Sandpile

A self-organized criticality model of a thermal sandpile is formulated for the first time to simulate the dynamic process with interaction between avalanche events on the fast time scale and diffusive transports on the slow time scale. The main characteristics of the model are that both particle and energy avalanches of sand grains are considered simultaneously. Properties of intermittent transport and improved confinement are analyzed in detail. The results imply that the intermittent phenomenon such as blobs in the low confinement mode as well as edge localized modes in the high confinement mode observed in tokamak experiments are not only determined by the edge plasma physics, but also affected by the core plasma dynamics.

The Research of Transmission Network Planning Based on System’s Self-organized Criticality

This paper presents a new line importance degree evaluation index for the propagation of cascading failures, which is used to quantify transmission lines for cascade spread. And propose an improved capital matching model, according to the results of the evaluation, to enhanced robustness of the power system. The simulation results proved that in the case of the same system, the new model can inhibit cascade spread, reduce the probability of large-scale blackouts.

Self-Organized Criticality Analysis of Earthquake Model Based on Heterogeneous Networks

原来的 OlamiFederChristensen (OFC ) 模型，显示柔韧的幂定律行为，是 quasistatic 地震的 BurridgeKnopoff 春天块模型的二维的版本。在这份报纸，我们基于异构的网络介绍一个修改 OFC 模型，改进原来的模型的再分配规则。它能被看作原来的 OFC 模型的归纳。我们数字地调查参数的影响并且，它分别地在我们的网络控制拓扑的生长和内部选择动力学的发展机制的紧张，并且发现在参数空格有二个不同阶段(，) 。同时，我们学习控制参数的影响任何一个。增加一，模型的地震行为从本地人转到全球。

Evidence for self-organized criticality in unscheduled downtime data of equipment

How to reduce downtime and improve availability of the complex equipment is very important. Although the unscheduled downtime（USDT） issues of the equipment are very complex, the self-organized criticality（SOC） is the right theory to study complex systems evolution and opens up a new window to the investigation of disasters, such as the sudden failure of the equipment. Firstly,SOC theory and its validation method are introduced. Then an SOC validation method for USDT of the equipment is proposed based on the above theory. Case study is done on bottleneck equipment in a factory and corresponding data pre-process work is done. The rescaled-range（R/S） analysis method is used to calculate the Hurst exponent of USDT time-series data in order to determine the long-range correlation of USDT data on time scale;at the same time the spatial power-law characteristic of USDT time series data is studied. The result shows that the characteristics of SOC are revealed in USDT data of the equipment according to the criterion of SOC. In addition, based on the characteristics of SOC,the overall framework of the prediction method for major sudden failure of the equipment is proposed based on SOC.

A Modified Earthquake Model of Self-Organized Criticality on Small World Networks

A modified Olami Feder-Christensen model of self-organized criticality on a square lattice with the properties of small world networks has been studied.We find that our model displays power-law behavior and the exponent τ of the model depends on φ,the density of long-range connections in our network.

Self-organized criticality of liquefaction in saturated granules

Utilizing the dissipative structure theory, the evolutionary process of vibrating liquefaction in saturated granules was analyzed. When the irreversible force increases to some degree, the system will be in a state far from equilibrium, and the new structure probably occurs. According to synergetics, the equation of liquefaction evolution was deduced, and the evolutionary process was analyzed by dynamics. The evolutionary process of vibrating liquefaction is a process in which the period doubling accesses to chaos, and the fluctuation is the original driving force of system evolution. The liquefaction process was also analyzed by fractal geometry. The steady process of vibrating liquefaction obeys the scaling form, and shows self-organized criticality in the course of vibration. With the increment of the recurrence number, the stress of saturated granules will decrease rapidly or lose completely, and the strain will increase rapidly, so that the granules can not sustain load and the "avalanche" phenomenon takes place.

Self-organized Criticality Model for Ocean Internal Waves

在这篇论文，我们在场为海洋的一个简单春天块模型内部波浪基于自我组织的 criticality (SOC ) 。在模型的水块的摆动在频率领域与 2 的一个代表显示幂定律行为，它在实际海洋和 Munk 深海洋类似于水流和海水温度系列内部波浪模型 [Geophysical 液体动力学 2 ( 1972 ) 225 ；J。Geophys。物件。80 (1975 ) 291 ] 。到到在模型的 SOC 行为的春天系数的驱动力的比率的影响也被讨论。

Self-organized Criticality in an Integrate-and-Fire Neuron Model Based on Modified Aging Networks

基于 integrate-and-Sre 机制，我们与老化节点在一个修改 BA 没有规模的网络上调查一个简单神经原模型的 self-organizedcriticality。在我们的模型，我们发现雪崩尺寸的分发跟随幂定律行为。批评代表τ取决于变老的代表α。有节点的老化的网络的结构随着α的增加变化。在 integrate-and-fire 神经原的模型有到不同行为的不同拓扑的结构。

Self-organized Criticality in Hierarchical Brain Network

It is shown that the cortical brain network of the macaque displays a hierarchically clustered organizationand the neuron network shows small-world properties.Now the two factors will be considered in our model and thedynamical behavior of the model will be studied.We study the characters of the model and find that the distribution ofavalanche size of the model follows power-law behavior.

On Origin of Power-Law Distributions in Self-Organized Criticality from Random Walk Treatment

在自我组织的 criticality 的幂定律分布的起源被在系统把活跃地点的数字的变化当作一个随机的过程调查。雪崩然后在一个一个维的格子被认为是一个第一回来的随机的散步过程。我们假设活跃地点的数字的变化在每更改有三可能性：与概率 f 1, 增加 1 与概率 f 2, 在 1 减少或与概率 1-f 1-f2 仍然保持未改变。这在系统模仿动力学。当随机的散步与相等的概率是不偏的搬到相反的方向时，一生的幂定律分布被发现。这证明在自我组织的 criticality 的幂定律分布可以被竞争相互作用的平衡引起。

Self-organized Criticality and Synchronization in a Pulse-coupled Integrate-and-Fire Neuron Model Based on Small World Networks＊

A lattice model for a set of pulse-coupled integrate-and-fire neurons with small world structure is introduced.We find that our model displays the power-law behavior accompanied with the large-scale synchronized activities among the units. And the different connectivity topologies lead to different behaviors in models of integrate-and-fire neurons.

Effects of Aging and Self-organized Criticality in a Pulse-Coupled Integrate-and-Fire Neuron Model Based on Small World Networks

基于小世界网络在一个 pulse-coupledintegrate-and-fire 神经原模型变老和自我组织的 criticality 的效果被学习了。我们给老化网络，平均最短的路径长度，我们的网络的直径，和聚类的系数的度分发，并且发现我们的神经原模型显示幂定律行为，并且与然后增加的连接增加的棕土，老化的效果变得越来越小。这证明如果大脑以自我组织的 criticality 状态工作，它能减轻老化引起的一些效果。

Landslide and Basin Self-organized Criticality in the Lushan Hot Spring Area

Defining a basin under a critical state(or a self-organized criticality) that has the potential to initiate landslides,debris flows,and subsequent sediment disasters,is a key issue for disaster prevention.The Lushan Hot Spring area in Nantou County,Taiwan,suffered serious sediment disasters after typhoons Sinlaku and Jangmi in 2008,and following Typhoon Morakot in 2009.The basin's internal slope instability after the typhoons brought rain was examined using the landslide frequency-area distribution.The critical state indices attributed to landslide frequency-area distribution are discussed and the marginally unstable characteristics of the study area indicated.The landslides were interpreted from Spot 5 images before and after disastrous events.The results of the analysis show that the power-law landslide frequency-area curves in the basin for different rainfall-induced events tend to coincide with a single line.The temporal trend of the rainfallinduced landslide frequency-area distribution shows 1/f noise and scale invariance.A trend exists for landslide frequency-area distribution in log-log space for larger landslides controlled by the historical maximum accumulated rainfall brought by typhoons.The unstable state of the basin,including landslides,breached dams,and debris flows,are parts of the basin's self-organizing processes.The critical state of landslide frequency-area distribution could be estimated by a critical exponent of 1.0.The distribution could be used for future estimation of the potential landslide magnitude for disaster mitigation and to identify the current state of a basin for management.

Self-organized Criticality in a Modified Evolution Model on Generalized Barabasi-Albert Scale-Free Networks

generalizedBarabasi 艾伯特(GBA ) 上的自我组织的 criticality 的一个修改进化模型没有规模的网络被调查。在我们的模型，我们发现空间、时间的关联展出批评行为。更重要地，这些批评行为随着参数 b 变化，哪个重量与在 GBA 网络进化的度比较的距离。

Effects of Vertex Activity and Self-organized Criticality Behavior on a Weighted Evolving Network

Effects of vertex activity have been analyzed on a weighted evolving network.The network is characterized by the probability distribution of vertex strength,each edge weight and evolution of the strength of vertices with different vertex activities.The model exhibits self-organized criticality behavior.The probability distribution of avalanche size for different network sizes is also shown.In addition,there is a power law relation between the size and the duration of an avalanche and the average of avalanche size has been studied for different vertex activities.

Self-organized Criticality in an Earthquake Model on Random Network

一个随机的网络上的一个简化 Olami-Feder-Christensen 模型被学习了。我们建议一条新倒下规则—当有一个不稳定的地点，倒下时，这个地点的精力不平均随机被再分配到它的最近的邻居。当系统是保守人士，和系统的分发服从有限尺寸可伸缩的雪崩尺寸概率时，模拟结果显示模型显示自我组织的 criticality。什么时候系统 isnonconservative，模型不显示可伸缩行为。我们有不同最近的邻居 q 的模型的模拟结果 aiso 被比较，它显示空间拓扑学不改变系统的批评行为。

Neuronal avalanches:Sandpiles of self-organized criticality or critical dynamics of brain waves?

Analytical expressions for scaling of brain wave spectra derived from the general nonlinear wave Hamiltonian form show excellent agreement with experimental“neuronal avalanche”data.The theory of the weakly evanescent nonlinear brain wave dynamics[Phys.Rev.Research 2,023061(2020);J.Cognitive Neurosci.32,2178(2020)]reveals the underlying collective processes hidden behind the phenomenological statistical description of the neuronal avalanches and connects together the whole range of brain activity states,from oscillatory wave-like modes,to neuronal avalanches,to incoherent spiking,showing that the neuronal avalanches are just the manifestation of the different nonlinear side of wave processes abundant in cortical tissue.In a more broad way these results show that a system of wave modes interacting through all possible combinations of the third order nonlinear terms described by a general wave Hamiltonian necessarily produces anharmonic wave modes with temporal and spatial scaling properties that follow scale free power laws.To the best of our knowledge this has never been reported in the physical literature and may be applicable to many physical systems that involve wave processes and not just to neuronal avalanches.

POWER LAW DISTRIBUTION AND SELF-ORGANIZED CRITICALITY OF DISPERSED PARTICLES

Research on particulate characteristics has been an important frontier in physics and chemistry during the past decades. It has however been mostly focused on granular materials with short-range interactions. In this work, it was found that the power law of particle size distribution applied to the long-range interacting system of floating dust in air, from which we deduced that self-organized criticality might hold for floating dust just as granular materials with short-range interactions. This feature may reveal underlying kinetic mechanisms, important in dispersed particle systems. In industry, power law of size distribution of dispersed particles can be used to investigate the change of dust size, and the power law parameter could be taken as an important index for dust separation.

Engineering Quantum Criticality for Quantum Dot Power Harvesting

Coupling of quantum-dot circuits to microwave photons enables us to investigate photon-assisted quantum transport.Here,we revisit this typical circuit quantum electrodynamical setup by introducing the Kerr nonlinearity of photons.By exploiting quantum critical behavior,we propose a powerful scheme to control the power-harvesting efficiency in the microwave regime,where the driven-dissipative optical system acts as an energy pump.It drives electron transport against a load in the quantum-dot circuit.The energy transfer and,consequently,the harvesting efficiency are enhanced near the critical point.As the critical point moves towards to low input power,high efficiency within experimental parameters is achieved.Our results complement fundamental studies of photon-to-electron conversion at the nanoscale and provide practical guidance for designs of integrated photoelectric devices through quantum criticality.