scholarly journals Long-time tails do not necessarily imply self-organized criticality or the breakdown of the standard transport paradigm

1999 ◽  
Vol 6 (10) ◽  
pp. 3731-3734 ◽  
Author(s):  
John A. Krommes ◽  
Maurizio Ottaviani
Keyword(s):  
Long Time Tails ◽  
Self Organized ◽  
Long Time ◽  
Self Organized Criticality

PUNCTUATED EQUILIBRIUM: A VIEW FROM THE PERSPECTIVE OF THE THEORY OF SELF-ORGANIZED CRITICALITY

METOD ◽  
2020 ◽  
pp. 416-442
Author(s):  
Dmitriy Zhukov
Keyword(s):  
Social Systems ◽  
Punctuated Equilibrium ◽  
Computer Experiments ◽  
Political Activity ◽  
Pink Noise ◽  
Social Transformations ◽  
Protest Movements ◽  
Self Organized ◽  
Long Time ◽  
Self Organized Criticality

Punctuated equilibrium is regarded as the state of natural and social systems manifested in occasional intense, quick bursts of activity. Within the framework of the theory of self-organized criticality (SOC), punctuated equilibrium can be formalized as pink noise. SOC theory, having been developed by the end of 1980s, was originally intended to explain natural science phenomena. However, soon after its presentation, it began to spread across the social and humanitarian field of knowledge. Critical state is one on the brink of a bifurcation point. It turns out that some systems can stay in a state of permanent choice for a fairly long time. The author presents the examples of punctuated equilibrium revealed in computer experiments with artificial societies, as well as through empirical observation (particularly, in the dynamics of voting patterns, internet activity, and protest movements in the past and present). The key concepts of SOC theory and tools for pink noise identification are laid out. The sandpile model has been given special attention. Certain papers have been analyzed in which SOC theory was applied to gain some political science knowledge. According to SOC, in certain cases, there is no need to search for some significant extraordinary factor to shed light on explosive social transformations (including revolutions and other bursts of social and political activity). Social transformations can be induced by quite ordinary - and thus undistinguished - properties of systems, micro-level pro- cesses, and local impulses. SOC theory, therefore, refocuses the attention of researchers from the search for direct causes of events to the identification of states of the subject that generates these events.

scholarly journals Self-Organized Criticality and Trend Analysis in Time Series of Blackouts for the China Power Grid

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Qun Yu ◽  
Na Cao ◽  
Qilin Liu ◽  
Yuqing Qu ◽  
Yumin Zhang
Keyword(s):  
Time Series ◽  
Trend Analysis ◽  
Power Grid ◽  
Data Series ◽  
Power Outage ◽  
Power Failure ◽  
Self Organized ◽  
Time Correlations ◽  
Long Time ◽  
Self Organized Criticality

This paper proposes effective evidence on the correlation between trend and self-organized criticality (SOC) of the power outage sequence in China. Taking the data series of blackouts from 1981 to 2014 in the China power grid as the research object, the method of V/S is introduced into the analysis of the power system blackout sequence to demonstrate their prominent long-time correlations. It also verifies the probability distribution of load loss about blackout size in the China power grid has a tail feature, which shows that the time series of blackouts in the China power grid is consistent with SOC. Meanwhile, a kind of mathematical statistics analysis is presented to prove that there is a seasonal trend of blackouts, and the blackout frequency and blackout size have not decreased over time but have an upward trend in the China power grid, thereby indicating that blackout risk may be increasing with time. The last 34 years’ data samples of power failure accidents in the China power grid are used to test the proposed method, and the numerical results show that the proposed self-organized criticality and trend analysis method can pave the way for further exploration of the mechanism of power failure in the China power grid.

scholarly journals Landslides, sandpiles, and self-organized criticality

2003 ◽  
Vol 3 (6) ◽  
pp. 505-514 ◽  
Author(s):  
S. Hergarten
Keyword(s):  
Time Dependent ◽  
Mass Movements ◽  
Size Distributions ◽  
Triggering Mechanism ◽  
Self Organized ◽  
Long Time ◽  
Self Organized Criticality ◽  
Relationship Of ◽  
Power Law Distributions

Abstract. Power-law distributions of landslides and rockfalls observed under various conditions suggest a relationship of mass movements to self-organized criticality (SOC). The exponents of the distributions show a considerable variability, but neither a unique correlation to the geological or climatic situation nor to the triggering mechanism has been found. Comparing the observed size distributions with models of SOC may help to understand the origin of the variation in the exponent and finally help to distinguish the governing components in long-term landslide dynamics. However, the three most widespread SOC models either overestimate the number of large events drastically or cannot be consistently related to the physics of mass movements. Introducing the process of time-dependent weakening on a long time scale brings the results closer to the observed statistics, so that time-dependent weakening may play a major part in the long-term dynamics of mass movements.

scholarly journals Ergodicity for Singular-Degenerate Stochastic Porous Media Equations

2021 ◽  
Author(s):  
Marius Neuß
Keyword(s):  
Porous Media ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Time Behaviour ◽  
Self Organized ◽  
Long Time Behaviour ◽  
Degenerate Form ◽  
Long Time ◽  
Porous Media Equations ◽  
Self Organized Criticality

AbstractThe long time behaviour of solutions to generalized stochastic porous media equations on bounded intervals with zero Dirichlet boundary conditions is studied. We focus on a degenerate form of nonlinearity arising in self-organized criticality. Based on the so-called lower bound technique, the existence and uniqueness of an invariant measure is proved.

Problem behavior in autism spectrum disorders: A paradigmatic self-organized perspective of network structures

2019 ◽  
Vol 42 ◽  
Author(s):  
Lucio Tonello ◽  
Luca Giacobbi ◽  
Alberto Pettenon ◽  
Alessandro Scuotto ◽  
Massimo Cocchi ◽  
...  
Keyword(s):  
Autism Spectrum Disorder ◽  
Problem Behaviors ◽  
Autism Spectrum ◽  
The Self ◽  
Network Structures ◽  
Self Organized ◽  
Critical Equilibrium ◽  
Self Organized Criticality ◽  
Acute Agitation ◽  
Spectrum Disorders

AbstractAutism spectrum disorder (ASD) subjects can present temporary behaviors of acute agitation and aggressiveness, named problem behaviors. They have been shown to be consistent with the self-organized criticality (SOC), a model wherein occasionally occurring “catastrophic events” are necessary in order to maintain a self-organized “critical equilibrium.” The SOC can represent the psychopathology network structures and additionally suggests that they can be considered as self-organized systems.

Self-Organized Criticality in the Autowave Model of Speciation

2020 ◽  
Vol 75 (5) ◽  
pp. 398-408
Author(s):  
A. Y. Garaeva ◽  
A. E. Sidorova ◽  
N. T. Levashova ◽  
V. A. Tverdislov
Keyword(s):  
Self Organized ◽  
Self Organized Criticality

Modeling Extinction

2003 ◽  
Author(s):  
M. E. J. Newman ◽  
R. G. Palmer
Keyword(s):  
Evolutionary Biology ◽  
Large Scale ◽  
Competitive Exclusion ◽  
Applied Mathematics ◽  
Santa Fe ◽  
New Approach ◽  
Self Organized ◽  
Self Organized Criticality ◽  
Extinction Events ◽  
Mass Extinction Events

Developed after a meeting at the Santa Fe Institute on extinction modeling, this book comments critically on the various modeling approaches. In the last decade or so, scientists have started to examine a new approach to the patterns of evolution and extinction in the fossil record. This approach may be called "statistical paleontology," since it looks at large-scale patterns in the record and attempts to understand and model their average statistical features, rather than their detailed structure. Examples of the patterns these studies examine are the distribution of the sizes of mass extinction events over time, the distribution of species lifetimes, or the apparent increase in the number of species alive over the last half a billion years. In attempting to model these patterns, researchers have drawn on ideas not only from paleontology, but from evolutionary biology, ecology, physics, and applied mathematics, including fitness landscapes, competitive exclusion, interaction matrices, and self-organized criticality. A self-contained review of work in this field.

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