scholarly journals A Statistical Study of Flares as Self-Organized Critical Phenomena

1993 ◽  
Vol 141 ◽  
pp. 369-372
Author(s):  
Yoshinari Nakagawa
Keyword(s):  
Solar Activity ◽  
Solar Cycle ◽  
Critical Phenomena ◽  
Power Law ◽  
Statistical Study ◽  
Critical Phenomenon ◽  
The Self ◽  
Statistical Property ◽  
Self Organized

AbstractThe statistical property of flares is examined in terms of the number of flares versus its magnitude, i. e. the “Importance” reported in the IAU Quarterly Bulletin of Solar Activity for 1961–1983. It is shown that the number of flare and its magnitude follow a power law relationship indicative of the self-organized critical phenomenon, regardless of the phase of the solar cycle.

scholarly journals Extra investigation of the self-organized critical Manna model at higher critical dimension

2021 ◽  
pp. 1-12
Author(s):  
Andrey Viktorovich Podlazov
Keyword(s):  
Power Law ◽  
Critical Dimension ◽  
The Self ◽  
Two Dimensional ◽  
Upper Critical Dimension ◽  
Self Organized ◽  
Logarithmic Corrections ◽  
Universal Indicator ◽  
Sandpile Models ◽  
Power Law Distributions

I investigate the nature of the upper critical dimension for isotropic conservative sandpile models and calculate the emerging logarithmic corrections to power-law distributions. I check the results experimentally using the case of Manna model with the theoretical solution known for all statement starting from the two-dimensional one. In addition, based on this solution, I construct a non-trivial super-universal indicator for this model. It characterizes the distribution of avalanches by time the border of their region needs to pass its width.

"SPIRAL WAVE–TRAVELING CLUSTERING" INTERMITTENCY AND 1/f-NOISE IN A 2D COUPLED MAP LATTICE

1999 ◽  
Vol 09 (05) ◽  
pp. 929-937 ◽  
Author(s):  
MARK A. PUSTOVOIT ◽  
VALERY I. SBITNEV
Keyword(s):  
Probability Density ◽  
Exponential Decay ◽  
Power Law ◽  
Strange Attractor ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Coupled Map Lattice ◽  
The Self ◽  
Saddle Node Bifurcation ◽  
Self Organized

Intermittency of checkerboard spiral waves and traveling clusterings originating from sudden shrinking of the strange attractor of the 2D CML in the neighborhood of the saddle-node bifurcation boundary is found. A power-law probability density for lifetimes in the spiral wave (laminar) phase is observed, while in the checkerboard clusterings (bursting) phase the above quantity exhibits an exponential decay. This difference can be interpreted through the self-organized behavior of the spiral waves, and the passive relaxation of the disordered checkerboard clusterings.

scholarly journals Transition from Self-Organized Criticality into Self-Organization during Sliding Si3N4 Balls against Nanocrystalline Diamond Films

Entropy ◽  
2019 ◽  
Vol 21 (11) ◽  
pp. 1055
Author(s):  
Bogatov ◽  
Podgursky ◽  
Vagiström ◽  
Yashin ◽  
Shaikh ◽  
...  
Keyword(s):  
Friction Force ◽  
Power Law ◽  
Early Stage ◽  
Nanocrystalline Diamond ◽  
The Self ◽  
Self Organization ◽  
Power Law Distribution ◽  
Reciprocating Sliding ◽  
Self Organized ◽  
Self Organized Criticality

The paper investigates the variation of friction force (Fx) during reciprocating sliding tests on nanocrystalline diamond (NCD) films. The analysis of the friction behavior during the run-in period is the focus of the study. The NCD films were grown using microwave plasma-enhanced chemical vapor deposition (MW-PECVD) on single-crystalline diamond SCD(110) substrates. Reciprocating sliding tests were conducted under 500 and 2000 g of normal load using Si3N4 balls as a counter body. The friction force permanently varies during the test, namely Fx value can locally increase or decrease in each cycle of sliding. The distribution of friction force drops (dFx) was extracted from the experimental data using a specially developed program. The analysis revealed a power-law distribution f-µ of dFx for the early stage of the run-in with the exponent value (µ) in the range from 0.6 to 2.9. In addition, the frequency power spectrum of Fx time series follows power-law distribution f-α with α value in the range of 1.0–2.0, with the highest values (1.6–2.0) for the initial stage of the run-in. No power-law distribution of dFx was found for the later stage of the run-in and the steady-state periods of sliding with the exception for periods where a relatively extended decrease of coefficient of friction (COF) was observed. The asperity interlocking leads to the stick-slip like sliding at the early stage of the run-in. This tribological behavior can be related to the self-organized criticality (SOC). The emergence of dissipative structures at the later stages of the run-in, namely the formation of ripples, carbonaceous tribolayer, etc., can be associated with the self-organization (SO).

CRITICAL PHENOMENON INDUCED BY NOISE IN THE BTW SANDPILE

Fractals ◽  
2009 ◽  
Vol 17 (02) ◽  
pp. 227-232
Author(s):  
LIUJUN CHEN ◽  
WEITING CHEN ◽  
ZENGRU DI ◽  
DAHUI WANG
Keyword(s):  
Critical Phenomena ◽  
Critical Phenomenon ◽  
Internal Noise ◽  
Critical States ◽  
Self Organized ◽  
Self Organized Criticality

The behavior of sandpile far from self-organized critical states (SOCS) is investigated in this paper. The results indicate that noise plays an important role in the critical phenomenon. The critical phenomena are detected in sandpile far from SOCS when external or internal noise is applied. In contrast to self-organized criticality, the exponent of avalanche distribution in sandpile far from SOCS increases with the distance of the sandpile from SOCS. At the same time, the exponent of avalanche distribution in a sandpile far from SOCS is consistent with some real systems such as earthquake.

Sandpiles

2017 ◽  
Author(s):  
Paul Charbonneau
Keyword(s):  
Power Law ◽  
Slope Angle ◽  
The Self ◽  
Numerical Implementation ◽  
Sandpile Model ◽  
Self Organized ◽  
Self Organized Criticality

This chapter describes a simple computational idealization of a sandpile. When sand trickles slowly through your fingers, a small conical pile of sand forms below your hand. Sand avalanches of various sizes intermittently slide down the slope of the pile, which is growing both in width and in height but maintains the same slope angle. The pile of sand is a classic example of self-organized criticality. The chapter first provides an overview of the sandpile model before discussing its numerical implementation and a representative simulation involving a small 100-node lattice. It then examines the invariant power-law behavior of avalanches and the self-organized criticality of a sandpile. The chapter includes exercises and further computational explorations, along with a suggested list of materials for further reading.

scholarly journals A STATISTICAL STUDY OF EARTH’S MAGNETIC FIELD REVERSALS SEQUENCES

2013 ◽  
Vol 31 (3) ◽  
pp. 533
Author(s):  
Marco Aurélio Do Espírito Santo ◽  
Douglas Santos Rodrigues Ferreira ◽  
Cosme Ferreira Da Ponte Neto ◽  
Andrés Reinaldo Rodriguez Papa
Keyword(s):  
Magnetic Field ◽  
Power Law ◽  
Critical Phenomenon ◽  
Synthetic Data ◽  
Statistical Characteristics ◽  
Power Law Distribution ◽  
Earth’S Magnetic Field ◽  
Self Organized ◽  
Earth's Magnetic Field ◽  
Distribution Type

ABSTRACT. This paper presents an analysis of the distribution of periods between consecutive reversals of the Earth’s magnetic field through a non-parametric statistics. The study analyzes whether data in different periods of reversal belong to the same distribution, the distribution type and whether the polarity states are equivalent. This analysis was performed for periods from 0 to 40 Ma, 40 to 80 Ma and 120 to 160 Ma. It was found that the data from the three periods show identical statistical characteristics which leads to the symmetry between the states of polarity and to a distribution compatible with a power law, which shows the possibility of a critical phenomenon acting on the geodynamo. The fact that the data obey a power law distribution prompted a comparison with synthetic data generated using two models based on criticality of reversals (one of them self-organized). These simple models reproduce some features of reversals as its temporal evolution and distribution of polarity intervals, and show a similarity with paleomagnetic data.Keywords: geomagnetic reversals, power law, self-organized criticality. RESUMO. Este artigo apresenta uma análise da distribuição de períodos entre reversões consecutivas do campo magnético da Terra através de uma estatística não-paramétrica. O estudo analisa se os dados dos diferentes períodos de reversão pertencem a uma mesma distribuição, o tipo de distribuição que eles obedecem e se os estados de polaridade são equivalentes. Esta análise foi realizada nos períodos de 0 a 40 Ma, de 40 a 80 Ma e de 120 a 160 Ma. Encontrou-se que os dados dos três períodos apresentam características estatísticas idênticas, o que leva à simetria entre os estados de polaridade e a uma distribuição compatível com uma lei de potência, o que mostra a possibilidade de um fenômeno crítico atuando no geodínamo. O fato dos dados obedecerem a uma distribuição de lei de potências motivou uma comparação com dados sintéticos gerados através de dois modelos de reversões baseados em criticalidade (um deles auto-organizado). Estes modelos simples reproduzem algumas características das reversões, como sua evolução temporal e a distribuição de intervalo de polaridade, e mostram uma similaridade com dados paleomagnéticos.Palavras-chave: reversões geomagnéticas, lei de potências, criticalidade auto-organizada.

scholarly journals On the scaling of waiting-time distributions of the negative IMF <i>B<sub>z</sub></i> component

2006 ◽  
Vol 24 (10) ◽  
pp. 2735-2741 ◽  
Author(s):  
R. D'Amicis ◽  
R. Bruno ◽  
B. Bavassano ◽  
V. Carbone ◽  
L. Sorriso-Valvo
Keyword(s):  
Magnetic Field ◽  
Solar Wind ◽  
Solar Activity ◽  
Solar Cycle ◽  
Interplanetary Magnetic Field ◽  
Power Law ◽  
Waiting Time ◽  
The Sun ◽  
Activity Phase ◽  
Solar Wind Parameters

Abstract. Statistics associated with the fluctuations in solar wind parameters show a remarkable dependence on the solar activity phase. In particular, we focus our attention on the waiting-time statistics governing the MHD fluctuations of the z-component of the interplanetary magnetic field, which are important within the framework of the Sun-Earth connections, and briefly discuss the preliminary results. Data from several spacecrafts, covering different phases of the solar cycle and different radial distances, are used. We found that propagating Alfvénic fluctuations and convected structures strongly influence the statistics which vary from quasi-Poissonian to power law.

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.

Prominences and Solar Activity

1979 ◽  
Vol 44 ◽  
pp. 357-372
Author(s):  
Z. Švestka
Keyword(s):  
Solar Activity ◽  
Solar Cycle ◽  
List Type ◽  
Type Number ◽  
Flare Loops ◽  
Filament Activation

The following subjects were discussed:(1)Filament activation(2)Post-flare loops.(3)Surges and sprays.(4)Coronal transients.(5)Disk vs. limb observations.(6)Solar cycle variations of prominence occurrence.(7)Active prominences patrol service.Of all these items, (1) and (2) were discussed in most detail and we also pay most attention to them in this report. Items (3) and (4) did not bring anything new when compared with the earlier invited presentations given by RUST and ZIRIN and therefore, we omit them.

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